From 555af98474db33206ec6a88d24355386a3688e35 Mon Sep 17 00:00:00 2001 From: Tommaso Bianchi Date: Sun, 16 Aug 2026 17:05:09 +0200 Subject: [PATCH] Mate connectors: bring the design record and the BearConnector pair into the repo The connector work has lived outside the code since 2026-08-05, in a workspace repo with no remote. It is the basis of a decision that now shapes the Design tab, so it belongs here. docs/design/mate-connectors/ DESIGN_MATE_CONNECTORS.md seven CAD systems surveyed; the frame-pair model this kernel already matches; sections 8b/8c on the glyph, and section 9's four open decisions (D1-D4) still awaiting Tommaso. bear.step the male, Onshape 2026-08-05T08:27Z, md5 faf228326ee3f971 BearConnector_Female*.step/.stl, BearConnector_Cutter.step built by make_female.py FROM the real male B-rep rather than re-modelled, so the pocket is complementary by construction including every deliberate asymmetry. Fit measured at exactly 0.2000 mm, zero interference, mated hosts proven coplanar. BEAR_CONNECTOR_REVIEW.md the symmetry-group result: identity 81/81 edges, mirror-x 0/81, mirror-y 0/81, rot180Z 0/81, rot90Z 0/81, diagonal 0/81 at 0.1 mm. Trivial group, so every PARTIAL view fixes orientation. extract_outline.py, simplify_study.py, relief_sheet.py, handedness.py, make_female.py, trim_female.py, fit_check.py, verify_trimmed.py, coplanar_test.py + their sheets THE DECISION THIS SUPPORTS (snaporca-x0kd): the mate connector is drawn as a simplified BEAR FACE by default, with the standard disc + roll quadrant + Z arrow kept behind a preference. Face orientation is hardwired perception -- a toddler reads a face's roll and verse with no instruction -- and no abstract glyph earns that. Measured against the alternative: the disc's gold quadrant+tick falls 89 -> 66 -> 37 -> 20 -> 3 -> 0 lit pixels as the camera drops from 47 deg to edge-on, and is a shapeless blob by 16 deg. WHAT THE SIMPLIFICATION STUDY SETTLED (snaporca-wi3z), all measured off the real B-rep: The eyes are load-bearing. Same outline and muzzle with the eyes removed stops reading as a face at every size. Whatever else goes, they stay. 45 -> 22 outline vertices with no loss of read at 22 / 32 / 48 px; the muzzle reduces to one filled triangle. Three marks plus a cheek dot. Drawn FLAT the face fails exactly where the disc fails: in the connector's plane everything foreshortens by sin(elevation). Rendered as its real relief instead, lit pixels at 32 px go 164 -> 210 at 16 deg and 69 -> 120 at 6 deg, and the snout ridge stands proud as a profile rather than smearing. The glyph must be a shaded relief, not an outline. Handedness already reads without any added mark -- 32 to 35 % of lit pixels differ from the mirror, and re-registering by best whole-pixel translation returns offset (0,0), so it is real shape asymmetry. But it reads only BY COMPARISON. A dot on one cheek makes it local: 34.5 / 37.0 / 36.4 %, and unlike uneven eyes (42 %) it does not read as a defect. Tommaso's calls: it stays a bear, and handedness must read. The scripts were repointed at the co-located male and extract_outline.py re-run from here to prove it -- same 45 outline points, same three inner wires, same 3829.5 mm2 back plate. Co-Authored-By: Claude Opus 5 (1M context) --- .../mate-connectors/BEAR_CONNECTOR_REVIEW.md | 169 ++ .../mate-connectors/BearConnector_Cutter.step | 998 ++++++++++ .../mate-connectors/BearConnector_Female.step | 1173 ++++++++++++ .../BearConnector_Female_Trimmed.step | 1048 +++++++++++ .../BearConnector_Female_Trimmed.stl | Bin 0 -> 74884 bytes .../BearConnector_Female_Trimmed_wall.step | 1604 +++++++++++++++++ .../BearConnector_Female_Trimmed_wall.stl | Bin 0 -> 97684 bytes .../mate-connectors/DESIGN_MATE_CONNECTORS.md | 922 ++++++++++ docs/design/mate-connectors/bear-01-view.png | Bin 0 -> 100101 bytes docs/design/mate-connectors/bear-02-view.png | Bin 0 -> 96449 bytes docs/design/mate-connectors/bear-02-zoom.png | Bin 0 -> 276302 bytes docs/design/mate-connectors/bear-flat.png | Bin 0 -> 20664 bytes docs/design/mate-connectors/bear-sil-cmp.png | Bin 0 -> 1330 bytes docs/design/mate-connectors/bear-sil.png | Bin 0 -> 1688 bytes docs/design/mate-connectors/bear.step | 1020 +++++++++++ docs/design/mate-connectors/bear_mesh.json | 1 + docs/design/mate-connectors/bear_outline.json | 1 + .../circularmateconnectors.png | Bin 0 -> 13095 bytes docs/design/mate-connectors/cmp-sheet.png | Bin 0 -> 22841 bytes .../connector-glyph-proposal.html | 299 +++ docs/design/mate-connectors/coplanar_test.py | 68 + .../cylindricalmateconnectors.png | Bin 0 -> 17385 bytes .../design/mate-connectors/extract_outline.py | 57 + .../mate-connectors/faceted_ridge_key.scad | 140 ++ docs/design/mate-connectors/fem-0.png | Bin 0 -> 5985 bytes docs/design/mate-connectors/fem-1.png | Bin 0 -> 4068 bytes docs/design/mate-connectors/fem-2.png | Bin 0 -> 4274 bytes docs/design/mate-connectors/fem-3.png | Bin 0 -> 5767 bytes docs/design/mate-connectors/fem-sheet.png | Bin 0 -> 26495 bytes docs/design/mate-connectors/fem-sheet2.png | Bin 0 -> 26906 bytes docs/design/mate-connectors/female.stl | 226 +++ docs/design/mate-connectors/female_only.scad | 12 + docs/design/mate-connectors/fit_check.py | 20 + docs/design/mate-connectors/glyph_probe.py | 143 ++ .../mate-connectors/handedness-sheet.png | Bin 0 -> 42254 bytes docs/design/mate-connectors/handedness.py | 112 ++ .../linearedgemateconnectors.png | Bin 0 -> 20301 bytes docs/design/mate-connectors/make_female.py | 135 ++ .../mate-connector-virtual-sharp.png | Bin 0 -> 31835 bytes .../mateconnector-planarcentroid.png | Bin 0 -> 26069 bytes .../mateconnector-planarpoints.png | Bin 0 -> 27133 bytes .../mate-connectors/matepointiconLG.png | Bin 0 -> 2368 bytes .../matepointreorientsecondaryaxis.png | Bin 0 -> 10329 bytes .../planarfacemateconnectors.png | Bin 0 -> 5679 bytes docs/design/mate-connectors/relief-sheet.png | Bin 0 -> 25577 bytes docs/design/mate-connectors/relief_sheet.py | 99 + docs/design/mate-connectors/relief_test.py | 9 + docs/design/mate-connectors/render_key.py | 85 + docs/design/mate-connectors/render_stl.py | 76 + docs/design/mate-connectors/rk-0.png | Bin 0 -> 4974 bytes docs/design/mate-connectors/rk-1.png | Bin 0 -> 5548 bytes docs/design/mate-connectors/rk-2.png | Bin 0 -> 4940 bytes docs/design/mate-connectors/rk-3.png | Bin 0 -> 6240 bytes docs/design/mate-connectors/rk-4.png | Bin 0 -> 4992 bytes docs/design/mate-connectors/rk-back.png | 0 docs/design/mate-connectors/rk-front.png | 0 docs/design/mate-connectors/rk-iso.png | 0 docs/design/mate-connectors/rk-sheet.png | Bin 0 -> 22160 bytes .../design/mate-connectors/simplify-sheet.png | Bin 0 -> 57608 bytes docs/design/mate-connectors/simplify_study.py | 142 ++ docs/design/mate-connectors/size-test.png | Bin 0 -> 9289 bytes docs/design/mate-connectors/sz-22-down+Z.png | Bin 0 -> 293 bytes docs/design/mate-connectors/sz-22-grazing.png | Bin 0 -> 204 bytes docs/design/mate-connectors/sz-22-iso.png | Bin 0 -> 238 bytes docs/design/mate-connectors/sz-32-down+Z.png | Bin 0 -> 359 bytes docs/design/mate-connectors/sz-32-grazing.png | Bin 0 -> 263 bytes docs/design/mate-connectors/sz-32-iso.png | Bin 0 -> 314 bytes docs/design/mate-connectors/sz-48-down+Z.png | Bin 0 -> 502 bytes docs/design/mate-connectors/sz-48-grazing.png | Bin 0 -> 344 bytes docs/design/mate-connectors/sz-48-iso.png | Bin 0 -> 464 bytes docs/design/mate-connectors/t-+0.1-0.png | Bin 0 -> 5951 bytes docs/design/mate-connectors/t-+0.1-1.png | Bin 0 -> 4786 bytes docs/design/mate-connectors/t-+1.6-0.png | Bin 0 -> 7205 bytes docs/design/mate-connectors/t-+1.6-1.png | Bin 0 -> 5871 bytes docs/design/mate-connectors/trim-cmp.png | Bin 0 -> 19567 bytes docs/design/mate-connectors/trim_female.py | 74 + docs/design/mate-connectors/verify_trimmed.py | 25 + 77 files changed, 8658 insertions(+) create mode 100644 docs/design/mate-connectors/BEAR_CONNECTOR_REVIEW.md create mode 100644 docs/design/mate-connectors/BearConnector_Cutter.step create mode 100644 docs/design/mate-connectors/BearConnector_Female.step create mode 100644 docs/design/mate-connectors/BearConnector_Female_Trimmed.step create mode 100644 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b/docs/design/mate-connectors/BEAR_CONNECTOR_REVIEW.md @@ -0,0 +1,169 @@ +# BearConnector.step — examination + +> **Scope.** One file was supplied and it contains **one object: the male.** Everything below is +> measured from that single solid. Earlier drafts of this note reasoned about a female pocket and a +> mating pair — those objects were never supplied, so any statement about them was speculation and +> has been removed. The clearance, the fit, and the pocket's legibility are all **unassessed**. + +Measured, not eyeballed. Imported into the Design tab's own OpenCascade kernel +(`import_step` → one valid closed solid), topology queried, geometry checked numerically. +Flat drawing: `artifacts/shots/bear-flat.png`. Viewport: `artifacts/shots/bear-02-zoom.png`. + +**File:** AP242 Edition 2, ST-Developer. 1 `MANIFOLD_SOLID_BREP`, 1 `CLOSED_SHELL`. +**Size:** 83.06 × 66.69 × 17.27 mm. **Faces:** 30 — 24 planar + 6 cylindrical. +**Curves:** 69 lines + 12 circles. **No** splines, spheres, tori or cones. +**Relief:** only four Z levels — 0, 3.00, 10.66, 17.27. + +--- + +## What is right, and precisely so + +**The sloping ridge is implemented exactly as briefed.** From (0.00, 18.40, 17.27) to +(0.00, 46.72, 10.66): 28.3 mm long, 6.61 mm drop, **13.1° slope**, and both ends sit dead on +x = 0.00. It breaks 180° rotation on its own. + +**20.0° uniform draft on all four snout flanks**, identical to within 0.1°: +`(0,−0.94,0.342) (0.936,0.08,0.342) (0,0.94,0.342) (−0.936,0.08,0.342)`. That is a real, +deliberate lead-in — it self-centres into a matching pocket, and it demoulds and prints. + +**The eyes are exactly symmetric**: Ø9.87 at x = ±16.43, y = 48.01, matching to 0.01 mm. +Someone mirrored those on purpose. + +**The mating feature is extremely economical**: only **five edges** exist above the 3 mm plate — +the ridge plus two flank edges at each end. Base plate is exactly 3.00 mm. + +The low-poly constraint is honoured. All six cylinders are outline rounds and eye holes; none of +them is a mating surface. + +--- + +## The asymmetry is deliberate, and it is complete + +**Correction.** A first pass read the left/right differences as an unfinished mirror. That was wrong: +the asymmetry is intentional. Tested properly — every candidate self-symmetry, in the part's own +centred frame, with a generous 0.1 mm tolerance: + +| operation | edges mapped onto the part | +|---|---| +| identity | 81 / 81 — 100 % | +| mirror about x = 0 (left/right) | **0 / 81** | +| mirror about y = 0 (top/bottom) | **0 / 81** | +| rotate 180° about Z | **0 / 81** | +| rotate 90° about Z | **0 / 81** | +| mirror about the diagonal | **0 / 81** | + +**The symmetry group is trivial.** No rigid motion or reflection maps this part onto itself, so +**every partial view determines the orientation uniquely** — you never need to see the whole face to +know which way round it goes. That is the strongest possible result for a keying interface and it is +exactly what the earlier abstract glyph work kept failing to achieve: a symmetric shape seen at a +grazing angle, or half-occluded, gives an ambiguous read. + +### Does it let you GRASP the orientation? Measured, not asserted. + +Unique-in-principle and graspable-at-a-glance are different claims. The symmetry table proves the +first. For the second, the front-on picture (outline + eyes + mouth, filled) was rasterised and +compared against its own mirror and its own 180° rotation — the two ways a person can get it wrong. + +**By size** (percentage of pixels that differ): + +| width | vs mirror | vs rotated 180° | +|---|---|---| +| 16 px | 20.7 % | 26.0 % | +| 24 px | 21.9 % | 30.9 % | +| 32 px | 23.0 % | 28.1 % | +| 48 px | 22.4 % | 30.6 % | +| 80 px | 24.7 % | 31.0 % | +| 160 px | 23.6 % | 31.0 % | + +**The curve is flat.** The full signal is already there at 16 pixels and more resolution adds +nothing. That is the whole result: **the orientation cue lives at low spatial frequency**, carried by +the overall shape rather than by any detail. It therefore survives distance, blur, poor light, +peripheral vision, a small print and a low-resolution screen. It is the exact opposite of the abstract +disc glyph, whose roll cue was a small high-frequency feature and died at a grazing angle. + +**Partial views — a claim I made and then withdrew.** I ran a masked-window test and concluded that +a single quarter of the face was enough to read the orientation. **That test was invalid and the +conclusion is wrong.** It compared a window of the original against *the same window* of the mirrored +and rotated versions — which silently hands the observer the registration. It assumes you already +know that the patch you are looking at is the top-left quarter, which is exactly the thing you would +not know if you could only see a quarter. + +**You need to see the whole face.** The cues here are *relational*: the big ear only means something +next to the small ear, and the mouth offset only means something relative to the centreline. None of +them is self-locating. Whole-face is the operating condition, and the design should be judged and +used on that basis. + +That does not weaken the size result above, which always used the complete silhouette: the whole face +reads at 16 px. Needing all of it, and needing very little resolution of it, are compatible — and for +a part held in a hand, seeing all of it is the normal case. + +**The signal is allocated to the right risks.** The strongest cue (up to 41.7 %) guards against +inserting it upside down — the mistake people actually make. The weakest (~23 %) guards the mirror +case, which needs the part flipped over and which the protrusion already prevents mechanically. + +It also does mechanical work beyond the ridge. The ridge alone breaks 180° rotation; the asymmetric +outline additionally defeats the **mirrored-part** case — a mirror-image copy will not fit, so a +modelling or printing mirror is caught at assembly rather than three steps later. + +And for children specifically, a symmetric cartoon face reads as a mask; illustrators asymmetrise +deliberately so a face reads as a *character*. The asymmetry is earning its keep three ways at once. + +### What is worth keeping in mind anyway + +**The ears differ by 42 %** — left 8.33 mm wide (top y 65.68), right 11.81 mm (top y 66.69). Both +start at the same y = 60.79, so they read as a deliberate pair rather than an error. 42 % is well +above the perceptual threshold: you see it instantly. Good cue. + +**The mouth is a smirk** — x −21.93 … 0.00, centred at x = −10.96, stopping on the centreline. A +classic character device and a strong asymmetry. + +**The rounds are the best cue and the one safety question.** All four are on the left — Ø11.71 at +(−40.82, 7.38), Ø11.71 at (−34.76, 0.58), Ø10.00 at (−29.85, 60.83), Ø2.90 at (−26.70, 65.95) — and +the right side is entirely sharp. This is the *most locally readable* cue in the design: the ears +differ only by comparison (you must see both to know which is which), whereas a rounded corner tells +you "this is the left" from that corner alone, by eye **or by fingertip**. For children assembling by +feel that is the cue doing the real work. + +The tension is that "sharp" on a children's part is a hazard, and the obvious safety fix — round +everything — destroys the cue. The resolution is not round-vs-sharp but **large-vs-small radius**: +keep R≈6 on the left and give the right R≈1. R1 still reads and feels sharp locally, so the cue +survives, and the actual edge hazard goes away. That is the one recommendation that outlives the +correction. + +**One measurement that does not fit the story:** the outline is off-centre by **0.54 mm** (left reach +40.99, right reach 42.07). A deliberate cue should be unmissable; 0.54 mm is invisible. It is +probably a by-product of the other features rather than intent — worth a look, not a defect. + +--- + +## Two judgement calls, not defects + +**The snout is highest at the nose tip and slopes down toward the brow** — a real bear's muzzle +does the opposite. Anatomically it reads more like a beak or a horn than a snout. But mechanically +it is the better choice: the nose tip enters the pocket first and does the finding. Keep it if the +lead-in matters more than the likeness; flip it if "it must look like a bear" wins. + +**Only the male was supplied**, so the clearance, the fit and the pocket are unassessed. Nothing in +this note should be read as a judgement on them. + +--- + +## The strategic point, which is the real reason this design is good + +It gives orientation **a name**. "Ears up, nose down" needs no legend, no convention and no +documentation. Face recognition is the most robust pattern-matching humans have: it survives low +resolution, poor light, partial occlusion and peripheral vision. That is exactly the robustness the +abstract ridge key was reaching for, and here it comes for free. + +**One earlier objection does not transfer — noting it only so it is not carried over by mistake.** +In §8c of the design doc a female *pocket* measured as visually invisible — flat-shaded, a recess +reads as a blank rectangle — and I concluded male/female +is the wrong polarity cue. **That was a viewport finding, and it does not apply to a physical part.** +Nobody looks into the pocket of a toy; they feel it. For a part in a child's hands, male/female is +exactly the right polarity language. The earlier conclusion stands for the on-screen glyph and must +not be carried over to this. + +**The one rule to write down now:** the face and the key must never be allowed to disagree. People +will trust the face over the mechanics every time. Here they agree — ridge on the centreline, ears +up. If the face is ever restyled independently of the key, a user will orient by the bear and be +wrong. Tie them permanently, in the model and in whatever generates it. diff --git a/docs/design/mate-connectors/BearConnector_Cutter.step b/docs/design/mate-connectors/BearConnector_Cutter.step new file mode 100644 index 0000000000..c78e19e536 --- /dev/null +++ b/docs/design/mate-connectors/BearConnector_Cutter.step @@ -0,0 +1,998 @@ +ISO-10303-21; +HEADER; +FILE_DESCRIPTION(('FreeCAD Model'),'2;1'); +FILE_NAME('Open CASCADE Shape Model','2026-08-05T12:46:26',('FreeCAD'),( + 'FreeCAD'),'Open CASCADE STEP processor 7.8','FreeCAD','Unknown'); +FILE_SCHEMA(('AUTOMOTIVE_DESIGN { 1 0 10303 214 1 1 1 1 }')); +ENDSEC; +DATA; +#1 = APPLICATION_PROTOCOL_DEFINITION('international standard', + 'automotive_design',2000,#2); +#2 = APPLICATION_CONTEXT( + 'core data for automotive mechanical design processes'); +#3 = SHAPE_DEFINITION_REPRESENTATION(#4,#10); +#4 = PRODUCT_DEFINITION_SHAPE('','',#5); +#5 = PRODUCT_DEFINITION('design','',#6,#9); +#6 = PRODUCT_DEFINITION_FORMATION('','',#7); +#7 = PRODUCT('Open CASCADE STEP translator 7.8 1', + 'Open CASCADE STEP translator 7.8 1','',(#8)); 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zB$|I8ylNy|Lw8K@s?8h{)DA>)LjIEIdpmnQ68$B?GZHk~-WFAh-dmY!>3b`xFK(&L z91`wTUmvH<91`>}c$L^zBf)zi60}9awd?5U`dl%G1hq{g|5JX0y!*Uoq1L_kUh8&Z zO)!Uq_xkF2oSI+`39os73z<12yeHEii{pg)nIu?0t9jdN&htZpmW-(DLBh|d`h%n+ N!BXDSQ=cjl{|^|eER6sF literal 0 HcmV?d00001 diff --git a/docs/design/mate-connectors/DESIGN_MATE_CONNECTORS.md b/docs/design/mate-connectors/DESIGN_MATE_CONNECTORS.md new file mode 100644 index 0000000000..1644ccbad6 --- /dev/null +++ b/docs/design/mate-connectors/DESIGN_MATE_CONNECTORS.md @@ -0,0 +1,922 @@ +# Mate connectors: aligning with the mainstream CAD systems + +Research date: 2026-08-05. Written against `orca_cad` / `snaporca` at the M8 state +(`CadDocument.{hpp,cpp}`, `apply_mate`, `datum_frame`, the `Mate` card in `DesignPanel.cpp`). + +**Brief:** align with the mate-connector concept as the main CAD programs actually implement it, +and be simple, unequivocal, unconfusing. Alignment is the organising principle of this document: +every recommendation is labelled either **[INDUSTRY]** — do what they all do — or **[DEVIATION]** — +we would be departing, here is why and what it costs. + +--- + +## 0. The answer in ten lines + +1. Seven systems surveyed. **Five of the seven use the same model**; two are the old world. +2. The model: a joint is defined between **two local coordinate frames**, one rigidly attached to + each part, plus **one type** naming which DOF stay free. +3. The frame is called a mate connector (Onshape), a **joint origin** (Fusion, Inventor), a joint + connector (FreeCAD 1.0). Same object, three names. +4. **Every one of them expresses every DOF about the frame's Z axis.** One axis, one convention. +5. **Five types appear in every frame-based system with identical names and identical DOF**: + Fastened/Rigid, Revolute, Slider, Cylindrical, Planar. Ball is in four of five. +6. That is not fashion — those are the classical **lower kinematic pairs**. The vocabulary converged + because the mechanics converged. +7. Our kernel is already on the right side of the line: frame-based, five types, Z-relative, + superimpose-then-relax. **The architecture needs no revisiting.** +8. Where we are out of step: connectors that are not attached to a body; an origin that can only be + a face centroid; no live preview of the two Z arrows; a mate card of abstract dropdowns. +9. Where we would knowingly deviate: refusing a second mate per body (no vendor does this — it is + forced on us by having no solver) and possibly inverting the default mate direction. +10. Biggest single win for the stated goal, and it costs no kernel work: **draw both frames and + ghost the result before Confirm.** The convention stops needing to be remembered. + +--- + +## 1. The two families + +**Constraint-based ("old CAD").** The user states pairwise *geometric relations* between raw +topology — this face coincident with that face, this axis concentric with that axis, this plane +parallel at 12 mm. Each relation removes some DOF; a numerical solver satisfies all of them at once. +Fully positioning one part typically takes **three or more mates**, and the set can be +over-constrained, under-constrained, or satisfiable in several configurations. + +**Frame-based ("mate connectors").** The user places a *local coordinate system* on each part and +states **one** relation between the two frames. The relation is not "these surfaces touch" but +"these frames coincide, except for the following DOF, which stay free." + +Onshape's help page opens by drawing exactly this line: + +> *"Mates in Onshape are different than mates in old CAD systems. Many assemblies require only one +> Onshape Mate between any two instances, as the movement (degrees of freedom) between those two +> instances is embedded in the Mate."* + +The frame-based model won for three reasons, all of which matter here: + +- **One mate per pair.** No mental arithmetic about which three constraints add up to a hinge. +- **The DOF are declared, not deduced.** A revolute mate *is* one rotation. You do not discover the + remaining freedom by dragging. +- **It needs no simultaneous solver for the common case.** Frame-to-frame alignment is a matrix + composition — precisely what `apply_mate` already does. + +> **Caveat — several vendors ship both, and "align with X" is therefore ambiguous.** **Inventor** +> kept its legacy constraints *and* added frame-based Joints in 2012; many Inventor users still build +> assemblies entirely with the old constraint stack. **Creo** has placement constraints *and* +> Mechanism connections. **FreeCAD** had constraint-based Assembly2/3 add-ons before the frame-based +> Assembly workbench shipped in 1.0. So copying "what Inventor does" means copying **one of two +> coexisting workflows**. **Onshape and Fusion 360 are the only pure frame-based examples**, and they +> are the ones to weight most heavily when the evidence conflicts. + +--- + +## 2. Field survey — seven systems + +| | Onshape | Fusion 360 | Inventor | FreeCAD 1.0 | Creo | Siemens NX | SOLIDWORKS | +|---|---|---|---|---|---|---|---| +| **Family** | Frame | Frame | Frame (+ legacy constraints) | Frame (+ legacy add-ons) | Both | Constraint | Constraint | +| **Frame object** | Mate connector | Joint origin | Joint origin | Joint connector (`Placement1/2`) | CSYS on `Weld`/`6DOF` | — | — (nearest: **mate reference**) | +| **Where it lives** | Part Studio **and** Assembly; in the feature list | Component, inside the joint | Component / inside the joint | Inside the Joint object | Part | — | Part (up to 3 named entities) | +| **Origin placement** | Inferred family on hover; `Shift` locks | Discrete **snap points**; `Ctrl` cycles | Snap points + explicit origins | Inferred, previewed on hover | Picked CSYS | Picked entities | Picked entities | +| **Orientation control** | Primary axis (Z) + secondary axis; flip + 90° reorient | Flip, angle, offsets | Flip, angle, offsets | `Placement1/2` + `Offset1/2` | CSYS + offset | — | — | +| **Type inference** | No — explicit | No — explicit | **Yes — "Automatic"** from picked geometry | No | No | No | Partial (mate reference type) | +| **Solver** | Yes, simultaneous — *"order won't affect a Mate"* | Yes | Yes | Yes (Ondsel) | Yes | Yes | Yes | +| **Reuse across instances** | **Yes** — a Part Studio connector exists on every instance | Weak | Partial | Per-joint | Interfaces | Product Interface | Mate references auto-mate on insert | + +Three observations that shape everything below. + +- **Every frame-based system reduced the type list by an order of magnitude** relative to SOLIDWORKS + (7–13 vs ~25) and lost nothing. That is not simplification-by-omission; it is what happens when the + DOF live in the mate instead of being assembled from constraints. +- **Every one of them defines its types relative to a single axis.** Slider translates along Z, + Revolute rotates about Z, Cylindrical does both, Planar translates in X/Y and rotates about Z. + One axis carries the whole vocabulary. +- **Onshape alone treats the connector as a first-class, reusable, named object** — and that is also + where its worst usability complaints come from (§4). + +--- + +## 3. The type vocabulary — cross-system table + +DOF = degrees of freedom left **free**, stated about/along the connector Z. + +| DOF | Onshape | Fusion 360 | Inventor | FreeCAD 1.0 | Creo | **Ours today** | +|---|---|---|---|---|---|---| +| 0 | Fastened | Rigid | Rigid | Fixed | Rigid / Weld | **Fastened** ✅ | +| 1 — rot Z | Revolute | Revolute | Rotational | Revolute | Pin | **Revolute** ✅ | +| 1 — trans Z | Slider | Slider | Slider | Slider | Slider | **Slider** ✅ | +| 2 — rot + trans Z | Cylindrical | Cylindrical | Cylindrical | Cylindrical | Cylinder | **Cylindrical** ✅ | +| 3 — trans XY + rot Z | Planar | Planar | Planar | *(Parallel+Distance)* | Planar | **Planar** ✅ | +| 3 — rot XYZ | Ball | Ball | Ball | Ball | Ball | — | +| 2 — different axes | Pin slot | Pin-Slot | — | — | Slot / Bearing | — | +| 1 — coupled | Screw | — | — | Screw | — | — | +| 4 | Parallel | — | — | Parallel | — | — | +| other | Tangent, Width, Group | As-built | Automatic | Perpendicular, Angle, Distance, Gears, Belt, RackPinion | General, 6DOF | — | + +**Five types appear in every frame-based system, with the same name and the same DOF.** Those five +are the industry's common denominator, and they are exactly `mate_kind` 0–4 as already implemented. +Ball is in four of five. Everything past that is a long tail no two vendors agree on. + +### Why the convergence is a fact, not a fashion + +A rigid-body placement is an element of SE(3). A mate leaves some set of relative motions free. For +the mate to behave the same throughout its range — for a hinge to be a hinge at every angle — that +free set must be **closed under composition**: two allowed motions must compose to an allowed motion. +A closed set of motions is a **subgroup** of SE(3). + +The subgroups corresponding to physical surface-on-surface contact are the classical **six lower +pairs** (Reuleaux): + +| Pair | Free motion relative to Z | DOF | +|---|---|---| +| Revolute (R) | rotation about Z | 1 | +| Prismatic / slider (P) | translation along Z | 1 | +| Helical / screw (H) | coupled rotation + translation | 1 | +| Cylindrical (C) | rotation about **and** translation along Z | 2 | +| Planar (E/G) | translation in X,Y + rotation about Z | 3 | +| Spherical / ball (S) | rotation about X, Y, Z | 3 | + +Plus the two trivial ends: identity (0 DOF — **fastened**) and all of SE(3) (6 DOF — floating, i.e. +no mate). Hervé's Lie-subgroup analysis of the displacement group is the standard reference for +treating these as the algebraic building blocks of mechanism synthesis. + +**Consequence.** Anything outside this table is either (a) a *composition* needing a solver, or +(b) not a joint at all but a *measurement*: + +- Onshape's **Parallel** (4 DOF), **Tangent**, **Width**, **Pin slot**, and FreeCAD's **Distance / + Angle / Perpendicular** are constraints, not pairs — their free set is not a subgroup, so they only + make sense alongside a simultaneous solver. +- **Gear, Belt, Rack-and-pinion** are *relations between two mates*, a different object entirely. +- **Screw (H)** is a legitimate lower pair but needs a pitch parameter and is rare in printed parts. + +So the vendors' shared five, the lower pairs, and our `mate_kind` 0–4 are the same list arrived at +three ways. **[INDUSTRY] Stop looking for missing types and spend the budget on the connector.** + +--- + +## 4. What they all agree on — adopt verbatim + +Deviating from any of these makes an experienced user's intuition *wrong*, which is the operational +definition of "confusing". + +**A1 [INDUSTRY] — The connector is a full right-handed frame.** +Origin + Z (primary) + X (secondary). Onshape and Fusion expose exactly these two axis controls and +nothing else. A point cannot express spin; an axis cannot express clocking. +*Status: we comply* — `DatumCoordSys` carries origin/x/y and derives Z. + +**A2 [INDUSTRY] — Z is the joint axis; every DOF is about or along Z.** +Revolute rotates about Z. Slider translates along Z. Planar's free plane is normal to Z. Offsets run +along Z. This single rule is what makes the system learnable: **one axis to look at, and its meaning +never changes.** +*Status: we comply* — `mate_offset` along A's z, `mate_angle` about A's z. + +**A3 [INDUSTRY] — Mating superimposes the two frames; the type then relaxes specific DOF.** +FreeCAD states it most plainly: *"the second connector is superimposed on the first connector by +default and may change its position according to the joint type."* Fastened is not a special case — +it is the base case with nothing relaxed. +*Status: we comply* — `T = M_A · Rz · Tz · F · M_B⁻¹`, looser kinds relaxing from there. + +**A4 [INDUSTRY] — The connector belongs to a part and moves with it.** +Onshape: a connector defined in a Part Studio *"is available for reuse on every instance of that part +in every assembly in which it is instanced."* It is part geometry, not assembly geometry. +*Status: **violated**.* `CoordSysType::PointWorld` is a bare world XYZ with `X = world X` and no +`coordsys_body`. Such a connector does not follow its part. See §6 G1. + +**A5 [INDUSTRY] — Selection order is meaningful and must be visible.** +One connector is the reference; the other is driven onto it. Onshape spells out that offsets are +measured *"from the second Mate connector selected to the first"*, and that reversing the order +flips the sign. +*Status: complied with in the data model* (`mate_cs_a` fixed, `mate_cs_b` moves) *but not in the UI* — +two dropdowns labelled A and B do not tell the user which part is about to jump. + +**A6 [INDUSTRY] — Flip and re-clock live in the mate dialog, always.** +Onshape: *"Click the arrow icon to flip the direction of the primary axis. Click the Reorient +secondary axis icon to rotate the secondary axis in 90-degree increments."* +*Status: partial.* We have `mate_flip` (Z reversal). We have `mate_angle` as a free number — strictly +more powerful than 90° steps, and much worse to *use*: the common case is "it came in a quarter turn +out", and typing 90 is a worse gesture than pressing a button. + +**A7 [INDUSTRY] — DOF are shown, not inferred by the user.** +Onshape animates each mate's remaining DOF on demand; Fusion and Inventor name the DOF in the type +list. Our dropdown text already does this in words ("free spin + axial slide"). Keep it. + +**A8 [INDUSTRY] — Free DOF are preserved from the current placement, not zeroed.** +Onshape: a Planar mate aligns the frames *"but they are not restricted to this location with respect +to their degrees of freedom."* +*Status: we comply* — and it must be *said*, because a Planar mate that leaves the part where it was +looks like a mate that did nothing. + +--- + +## 5. Where they diverge — who to copy, and why + +### D1 — Where the connector's origin comes from + +| | Behaviour | +|---|---| +| **Fusion 360** | Discrete **snap points** only: vertex, edge midpoint, face centre, arc centre. `Ctrl` cycles the candidates under the cursor. A circle icon denotes a vertex, a triangle a midpoint. "Between two faces" is a separate explicit option. | +| **Onshape** | Infers a *family* on hover — centroid, every vertex, every edge midpoint, every arc centre, the centroids of interior regions (holes, slots), and the virtual sharps of conical faces. `Shift` locks the current candidate. | +| **Inventor** | Snap points, plus explicit joint origins for awkward cases. | +| **FreeCAD 1.0** | Hovering previews where the connector will land before you commit. | +| **Ours** | Always the **face centroid**. No alternative exists. | + +Onshape's richness has a cost its own documentation admits: *"The suggested locations are based on +the underlying geometry of the part and changing the geometry will change the location of the Mate. +This can be undesirable in certain situations."* On the forum this shows up as connectors that move +or break on edit — the classic topological-naming failure. Fusion's discrete set is poorer and far +more predictable. + +> **[INDUSTRY] Copy Fusion's candidate *set*.** A small, closed, enumerable set — **face centroid, +> vertex, edge midpoint, arc/circle centre** — each drawn before commit, with the card naming which is +> in use ("Origin: edge midpoint"). This is our largest expressiveness gap: a face centroid alone +> cannot place a hinge pin on a corner boss. It is also the one place where copying the *simpler* +> vendor is clearly right. +> +> **Open sub-choice — how the candidate is chosen.** Three options, in increasing order of magic: +> (1) **explicit dropdown** in the card after picking the face — no hover behaviour at all; +> (2) **Fusion's `Ctrl` cycling** through candidates under the cursor; (3) **Onshape's hover +> inference**. Kimi's independent review argued for (1) on the grounds that hover is exactly where +> both vendors' instability complaints originate, and that a dropdown gets ~90% of the expressiveness +> with none of the hover-guess debugging. That is a fair reading and (1) is the cheapest to build and +> the easiest to make unequivocal. **Recommendation: build (1) first; if hover is added later, let it +> *pre-fill the dropdown* rather than silently create an implicit connector** — which also keeps R2 +> (one kind of connector) intact. + +### D2 — Explicit type, or inferred from the geometry? + +Inventor is the only surveyed system that infers: *"Rotational is selected if the two selected +origins are circular. Cylindrical if the two selected origins are points on a cylinder. Ball if +points on a sphere. Rigid for all other origin selections."* Onshape and Fusion require an explicit +choice. + +> **[INDUSTRY, Inventor] Do both, in Inventor's order.** Infer a *default* type from what was picked, +> then show it in an editable control. Inference is what makes the tool feel like it understands the +> geometry; the visible, editable result is what keeps it unequivocal. Pure inference with no visible +> type is the confusing option; a pure dropdown with no default is the tedious one. This also fits +> the Design tab's geometry-first charter exactly: point at a bore, get Revolute offered. + +### D3 — How the Z-direction ambiguity is resolved + +This is the specific failure the brief is aimed at. A former IT trainer stated it precisely on the +Onshape forum: + +> *"There is always the risk that users will build their own conceptual models of how software works +> which may not match the designer's concept. The result is usually a poor user experience and many +> mistakes… for a good (say) Fixed mate to occur do the Z axes of the two mates have to be pointing +> in the same direction… Alternatively, should they be facing each other?"* + +He is asking the right question and **no vendor's documentation answers it.** Onshape's own advice — +*"if the behavior is not what you expected, try flipping the primary and/or secondary axis"* — is +trial and error. This is a gap in the industry, not a convention to copy. + +> **[INDUSTRY, method] Resolve it with live preview, not documentation.** FreeCAD previews the +> connector on hover; Onshape and Fusion both draw the frames. Draw **both** Z arrows the moment the +> second connector is picked, and ghost the resulting placement *before* Confirm. The convention then +> never has to be remembered because it is on screen. +> +> **[DEVIATION, optional] Name the two cases in the user's words** rather than in axis-speak: +> "the two faces come together" vs "the axes run the same way". No surveyed vendor does this — they +> all ship a flip arrow. It is a small, low-risk improvement on the state of the art, and it is +> separable from the default-direction question in §8 D1. + +### D4 — Named, reusable connectors on the part + +Onshape: connectors created in the Part Studio are reused on every instance in every assembly. +SOLIDWORKS' **mate reference** reaches the same end by another route: up to three named entities +(primary/secondary/tertiary) baked into the part so it auto-mates on drag-and-drop — and a *named* +mate reference seeks out a matching name on insertion. That naming trick is how a library of +fasteners assembles itself. + +> **[INDUSTRY] Out of scope now, but do not preclude it.** Give connectors a stable, user-visible +> name at creation. One string today; expensive to add once documents exist in the wild. + +--- + +## 6. Confusion catalogue + +Documented ways real implementations confuse people. Each is a requirement in disguise. + +**C1 — Which way does Z point?** See D3. If a user has to ask once, they will mis-predict a hundred +times. + +**C2 — The roll is unspecified.** Aligning Z leaves one rotation about Z undetermined. Something must +pin it, and if that something is world-derived, the frame does not rotate with its part. **This +codebase shipped exactly this bug** (`snaporca-en4`): a face-only connector took Z from the face +normal but X from `coordsys_x_hint`, a world constant, so Fastened and Slider claimed to lock an +orientation the frame could not see. Fixed 2026-07-26 by deriving X from the face's own first usable +edge — but note the fix's own caveat: *"replaying an older document whose face-only connector fed a +mate can now place that body differently."* Roll conventions are load-bearing, and changing one is a +document-format change. + +**C3 — The origin drifts.** See D1. + +**C4 — Implicit and explicit connectors are not the same thing.** On the Onshape forum, implicit +connectors are reported to change their query structure when a feature is edited and re-accepted, and +are unusable in places explicit ones work. Two things called by one name that behave differently is a +permanent tax. + +**C5 — Which part moves?** A frame alignment is asymmetric. If the UI does not say which frame is +driven, the user finds out by watching the wrong part jump. + +**C6 — Which direction is a positive offset?** Onshape measures *"from the second Mate connector +selected to the first"* — the sign depends on pick order, and swapping the picks flips it. Documented +behaviour, documented surprise. + +**C7 — One intent, several mates.** The SOLIDWORKS failure: expressing "this shaft is in this hole, +resting on this shoulder" as three constraints, then discovering the solver picked the mirror +configuration. Frame-based systems fix this by construction; the requirement is not to reintroduce it. + +**C8 — Degenerate frames.** A circular face has no usable in-plane edge direction; a cylinder seam +projects to nothing; a picked edge parallel to Z gives a zero cross product. `datum_frame` handles all +three with fallbacks — the requirement is that a fallback be *visible*, because a silent fallback is +C2 wearing a different hat. + +**C9 — Order dependence without a solver.** Onshape can say *"Onshape solves Mates simultaneously so +order won't affect a Mate."* A system that composes transforms in tree order cannot say that. Two +mates driving one body means the second wins and the first is a lie on screen. + +**C10 — Mirrors and patterns.** A mirrored instance has a left-handed frame. Blindly mirroring a +connector gives a frame whose Z still points "out" but whose handedness flipped, so every rotation +runs backwards. Cheap to handle now, miserable to retrofit. + +--- + +## 7. Requirements + +Labelled **[INDUSTRY]** (what the frame-based systems do) or **[DEVIATION]** (we would depart). + +### Definition + +**R1 [INDUSTRY] — A mate connector is a frame attached to exactly one body.** No body, no connector. +*Test:* creating a connector without a body is rejected at creation, not at mate time. +→ **`CoordSysType::PointWorld` violates this.** It is a datum wearing a connector's name. + +**R2 [INDUSTRY] — One kind of connector, not two.** No "implicit" connector that behaves differently +from an explicit one. If hover inference is offered, hovering *creates* an ordinary connector. +*Why:* C4. *Test:* everything that accepts a connector accepts any connector. + +**R3 [INDUSTRY] — A mate names exactly one subgroup of free motion.** Fastened (0), Revolute (1), +Slider (1), Cylindrical (2), Planar (3), optionally Ball (3). *Why:* §3. *Test:* every type's free +set is closed; no type is "A and also B". + +### Orientation + +**R4 [INDUSTRY] — Everything is about Z. Say so once, in the UI.** *Test:* no mate parameter refers +to any other axis. + +**R5 [DEVIATION] — Z is the outward material direction, and mates default to FACING.** +A mate would drive B's Z onto **−A's Z** by default, so picking two faces that should touch makes +them touch with no options changed. *Why:* it is the whole of C1. +**Cost and caveat:** this inverts today's default (`mate_flip=false` currently *aligns*), and I could +not establish from any vendor's documentation what their default actually is — the forum question in +D3 went unanswered precisely because it is undocumented. So this is marked a deviation on the honest +grounds that **I cannot prove the industry agrees with it.** If D3's live preview lands first, the +default matters much less, because the user sees the outcome before committing. See §9 D1. + +**R6 [DEVIATION] — Name the two directions; do not ship a boolean called "flip".** +`Direction: Facing | Aligned`. Every surveyed vendor ships a flip arrow instead. A boolean requires +remembering what unticked means; two named values do not. Low risk, small improvement on the state of +the art. + +**R7 [INDUSTRY] — Roll is picked, or a stored quarter turn. Never world-derived.** +X from a referenced edge or in-plane direction; failing that, a deterministic body-attached seed, with +**Rotate 90°** offered as a stored integer 0–3 on top (this is Onshape's "reorient secondary axis", +A6). *Why:* C2 and the world-constant bug this project already shipped. *Test:* rotate the parent +body by any angle; the connector's X rotates with it — *this test already exists* ("a face-only frame +rotates with its body"). + +**R8 [INDUSTRY] — A degenerate roll is reported, not absorbed.** *Test:* a connector on a full +cylindrical face reports "roll undefined — pick a direction" rather than silently taking a fallback. + +### Placement + +**R9 [INDUSTRY, Fusion] — Origin comes from a small closed set of named candidates.** +**Face centroid, arc/circle centre, edge midpoint, vertex.** Four. Each stored as +`(kind, topological reference)` and resolved at rebuild. *Why:* D1. *Test:* the stored kind is visible +in the card; a rebuild either resolves it or raises an error. + +**R10 [INDUSTRY] — An unresolvable reference is an error, never a silent relocation.** +*Test:* delete the referenced face; the mate reports "connector A: face not found" and the body stays +where it was. + +### Semantics without a solver + +**R11 [DEVIATION] — A body is driven by at most one mate. The second is refused.** +**No surveyed system does this** — they all have solvers and all accept many mates per body. It is +forced on us by tree-order composition: a second mate on the same body silently overrides the first +and the screen shows a configuration satisfying only one stated intent (C9). *Test:* creating a +second mate whose moving body already has one is rejected, naming the existing mate. +This is the single largest departure in this document. See §9 D4. + +> **A tempting misreading, checked and rejected.** It is easy to find the claim that Onshape mandates +> *"exactly one Mate between any two instances"*, which would make R11 an industry agreement rather +> than a deviation. **The Onshape page does not say that.** It says *"**Many assemblies require only** +> one Onshape Mate between any two instances"* and then lists, as an explicit remedy, *"**Use more +> than one Mate if necessary.**"* One mate per pair is Onshape's *typical case*, not its rule. R11 +> remains a deviation and must be justified on our own architecture, not on theirs. + +**R11a [DEVIATION] — The refusal list.** With no solver, these are unsupportable and must be refused +rather than half-done: a second mate on an already-driven body; cycles (A→B, B→A); closed loops +(A→B, A→C, B→C); relations *between* mates (gear, belt, rack-and-pinion, screw coupling); **joint +limits**, which nothing can enforce without a solver; and **dragging a body to exercise a free DOF**, +which requires keeping the body on the allowed manifold. Motion analysis and animation follow from the +same lack. *Requirement:* none of these may appear in the UI as something that half-works. + +**R12 [DEVIATION] — The mate graph is an acyclic forest rooted at fixed bodies.** A body reached by +no mate is fixed; cycles are refused. Same root cause as R11. *Test:* A→B, B→A rejected at creation. + +**R13 [INDUSTRY] — Free DOF are preserved from the current placement, and the user is told.** +Behaviour already matches Onshape (A8); the telling does not. *Test:* the card for any type with +DOF > 0 says which motions remain and that dragging exercises them. + +**R14 [INDUSTRY] — State what mirroring does to a connector.** +*Checked in the code:* `datum_frame` ends with a Gram-Schmidt forcing a right-handed frame +(`ds.x = Y.cross(Z)`), so a connector resolved on a mirrored body comes out **right-handed, not +mirror-imaged**. Z follows the mirrored face's outward normal, X follows a mirrored edge, handedness +is re-imposed. Defensible — a mate on the mirrored part still turns the way its type says — but it +means a mirrored sub-assembly is *not* the mirror image of the original in its rotation sense. +*Requirement:* document it and pin it with a test. *Why:* C10. + +### Feedback — the part that actually removes confusion + +**R15 [INDUSTRY] — Before Confirm, the card answers four questions in words.** Which body moves; +which way Z points on each connector; how many DOF remain; what the offset is measured from. + +**R16 [INDUSTRY] — Draw both frames live, with Z distinguishable, and ghost the result.** +Two triads with Z rendered differently from X/Y (length, arrowhead, colour). *Why:* D3 — the fastest +way to make a convention unequivocal is to show it. *Test:* both Z directions are readable in a +screenshot. + +**R17 [INDUSTRY] — Show the DOF budget per body.** "Body 2: 1 of 6 DOF free (rotation about Z)." +The most educational readout in any assembly system, and free to compute here — the type *is* the DOF +count. *Test:* the number changes when the type changes. + +**R18 [DEVIATION] — Refuse loudly and name the alternative.** Where something is out of scope (a +second mate, a tangency, a gear ratio), say what is unsupported and what to do instead. Vendors do not +need this because their solvers accept the input. *Test:* no refusal message ends without a suggested +next action. + +--- + +## 8. Minimal specification, and gap analysis + +### The connector + +``` +MateConnector + body int required, ≥ 0 (R1) + origin_kind enum FaceCentroid | ArcCentre | EdgeMidpoint | Vertex (R9) + origin_ref topo ref face / edge / vertex index on that body + z_source implied by origin_kind: face normal, arc axis, edge tangent + roll_ref topo ref optional in-plane edge; else deterministic seed (R7) + roll_quarters int 0..3 stored quarter turns on top of the seed (R7, A6) + flip_z bool reverse Z at the connector + name string stable, user-visible (D4) +``` + +`flip_z` is a property of the **connector**, chosen once when it is made — not a per-mate +afterthought. Keeping connector-flip and mate-direction separate is what stops the "which flip do I +tick?" question. + +### The mate + +``` +Mate + kind enum Fastened | Revolute | Slider | Cylindrical | Planar [| Ball] (R3) + fixed connector A — its body does not move + moving connector B — its body is driven (A5, C5) + direction enum Facing | Aligned (R5, R6) + offset mm along A's Z, measured A → B — state this in the label (C6) + angle deg about A's Z (R4) +``` + +Within one field of what exists. + +### Gaps against today + +Source of record: `CadDocument.hpp:26,247-252,298-310`; `CadDocument.cpp:1669` (`datum_frame`), +`:2961` (`apply_mate`), `:1302` (`add_mate`); `DesignPanel.cpp:2671-2709` (the Mate card). + +| # | Gap | Severity | Ref | +|---|---|---|---| +| G1 | `PointWorld` connectors are not attached to a body and their X is a world constant | **High — data model** | A4/R1 | +| G2 | Origin is always the face centroid; no vertex / edge-midpoint / arc-centre snap | **High — expressiveness** | D1/R9 | +| G3 | No live preview of the two Z arrows or of the resulting placement | **High — this is the brief** | D3/R16 | +| G4 | Mate card is two abstract dropdowns; nothing says which body moves | High — charter + A5 | R15 | +| G5 | No joint-type inference from the picked geometry | Medium — feel | D2 | +| G6 | `add_mate` validates nothing — no one-mate-per-body, no cycle check | Medium | R11/R12 | +| G7 | No `Ball` type | Low | §3 | +| G8 | Re-clocking needs a typed angle; no 90° step control | Low, cheap | A6/R7 | +| G9 | Degenerate roll falls back silently | Low | C8/R8 | +| G10 | Connectors have no stable user-facing name | Low now, expensive later | D4 | + +**Already aligned — do not "fix" these:** the five types and their DOF; the frame definition (A1); +Z as the joint axis (A2); superimpose-then-relax (A3); the fixed/moving asymmetry in the data model +(A5); DOF wording in the type list (A7); free-DOF preservation (A8); right-handed frames under mirror +(R14); and `snaporca-en4`'s fix, which put roll derivation on the body where it belongs (C2). + +**The pattern worth naming: the kernel is in good shape and the concept is under-explained.** Half the +requirements here are wording and drawing, not geometry. The two real engineering items are R9 (origin +candidates) and R11/R12 (the mate-graph rules). + +### Expensive-to-retrofit decisions — get these right in the data model now + +Changing any of these after documents exist in the wild costs a migration, not an edit. + +1. **Topological reference stability.** Storing raw face/edge indices is brittle — editing a body + renumbers faces. Either persistent topology IDs, or store the named origin *kind* plus a + deterministic search that re-finds the same geometric intent on rebuild. The latter is cheaper and + probably sufficient here; it is also what makes R10's "error, never silent relocation" enforceable. +2. **Connector ownership** (R1). Remove `PointWorld` or bind it to a body. Do this first. +3. **Mate direction semantics** (R5/D1). Inverting the default rewrites the meaning of every saved + mate. +4. **Roll representation** (R7). "First usable edge" is better than world-X but still fragile. Store + an explicit roll reference plus quarter turns. +5. **Coordinate convention** — Z = joint axis, X = roll reference. Changing this after release + invalidates every mate. +6. **Units** — offset in mm, angle in degrees. Never change. +7. **Mirror handedness** (R14) — document the decision, do not let it stay an accident. +8. **Flat body index vs. a component tree.** Mates currently reference bodies in a flat vector. If + **sub-assemblies** are ever in scope, mates must reference nodes in a tree instead. Retrofitting + this is painful and it is the one item on this list not already implied elsewhere in the document — + **decide now whether nested assemblies are in scope.** +9. **Serialization field semantics.** Adding fields is easy; redefining `mate_flip` or + `coordsys_x_hint` is not. +10. **The one-mate-per-body rule** (R11). Enforce at creation. Relaxing it later by adding a solver is + straightforward; allowing many mates now and discovering later that they silently conflict is not. + +--- + +## 8b. The visual shape of the connector — polarity and verse + +Researched separately (2026-08-05) by downloading and **looking at** the vendors' own figures, not +by reading their prose. Files kept alongside this document in `doc/design/mate-connectors/`. + +### What the systems actually draw + +**Onshape** — verified from `planarfacemateconnectors.png`, `cylindricalmateconnectors.png`, +`linearedgemateconnectors.png`, `mateconnector-planarpoints.png`, `matepointiconLG.png`: + +> **A small circle with one quadrant filled, plus three short coloured axis arms (X red, Y green, +> Z blue).** + +Three parts, each doing one job: + +| Element | What it says | +|---|---| +| The **circle** | "I am a frame, and this is my XY plane." | +| The **filled quadrant** | **The roll.** The shaded sector is the +X/+Y quadrant. | +| The **coloured arms** | The three axis directions, Z distinguished by colour. | + +The quadrant is the cleverest part of the whole design and it is easy to miss. The figure +`matepointreorientsecondaryaxis.png` shows three connectors side by side with the quadrant in three +different rotations — **it is the live readout of "reorient secondary axis in 90° increments" (A6).** +One glyph element makes the otherwise-invisible clocking visible, and makes the 90° button's effect +legible before you commit. The toolbar icon `matepointiconLG.png` is that same circle-with-a-quadrant, +so the symbol is consistent from toolbar to viewport. + +Candidate snap points, before you choose one, are drawn as **plain small white dots** on the model +(clear in `mateconnector-planarpoints.png`: dots at every corner and edge midpoint). Candidate and +committed are deliberately different weights — dots propose, the circle-and-triad commits. + +**FreeCAD 1.0** — verbatim from the wiki: *"Connectors are local coordinate systems and are marked by +a symbol with three axes (X, Y, Z) and a circle representing the XY-plane."* Same core as Onshape — +circle plus triad — **without** the quadrant. + +**Fusion 360** — the joint origin glyph, plus a documented icon language for *candidates*: *"A circle +denotes a vertex, and a triangle denotes a midpoint."* Shape encodes what kind of point it is. + +**Convergent core:** *circle for the XY plane + coloured triad*. Onshape alone adds the roll quadrant. + +### What none of them draw — and it is exactly what was asked for + +**Nothing in any vendor's glyph says which connector is the reference and which one is about to +move.** Both ends of a mate are drawn identically. That is confusion C5 ("which part moves?") left +unsolved in the visual language, and it is why the honest recommendation earlier was a live ghost — +the ghost compensates for a glyph that does not carry the information. + +So the two things asked for split cleanly, and only one of them is solved upstream: + +- **Verse** (*verso* — which way it points): **solved**. Z has a colour and a direction. +- **Polarity** (which end receives, which end inserts; who is anchored, who travels): **unsolved + everywhere.** This is open ground, and getting it right is a genuine improvement rather than a + deviation to justify. + +### Our starting point + +**We draw nothing.** `resolve_datum_coordsys()` (`CadDocument.cpp:1749`) has exactly one consumer in +the entire tree — `McpControl.cpp:1310`, the agent socket. A mate connector is today visible only to +a program. The glyph is unbuilt, so there is no migration cost to designing it properly now. + +### Proposed glyph: the magnet + +Adopt Onshape's proven core, then add the missing polarity with a metaphor that carries its own +instructions. + +``` + ▲ solid cone on +Z ONLY ← verse + | + ────●──── ← the disc = XY plane, ● = exact origin + ▨ quadrant filled ← roll / clocking, steps 90° +``` + +**Rule 1 — verse: draw +Z and never −Z.** A single stem with a cone head, on the positive side only. +No stem below the disc. A double-headed axis is the one thing that guarantees the question gets asked; +an arrow that exists on one side only cannot be misread. Length is asymmetric on purpose. + +**Rule 2 — roll: keep Onshape's quadrant.** Filled sector = the +X/+Y quadrant. It rotates in 90° +steps with the reorient control (A6/R7). This is aligned *and* it is the only in-glyph answer to +"where is X?", which matters because Fastened and Slider lock the clocking. + +**Rule 3 — polarity: solid cone travels, open collar receives.** +- The **driven** connector (B, on the body that will move) draws a **solid filled cone** — the plug. +- The **fixed** connector (A) draws an **open ring / hollow cone outline** — the socket. + +Same silhouette, so they read as a matched pair; opposite fill, so which one is about to jump is +answerable at a glance and without a legend. Plug-into-socket is the one mechanical metaphor every +user of this tool already has in their hands. + +**Rule 4 — the pair reads as a magnet.** Draw a dashed line joining the two origins the moment both +are picked. Two poles, one field line. And because a magnet's north seeks a south, **"facing" becomes +the self-evident default** — which quietly settles open decision D1 (§9) on visual grounds rather than +on a convention nobody can look up. If the glyph looks like a magnet, nobody has to be told that two +faces which touch have opposed normals. + +**Rule 5 — three states, three weights.** + +| State | Drawing | +|---|---| +| **Candidate** (hover) | small dot only — Onshape's white dots; shape may encode kind, Fusion-style | +| **Picked** | full glyph: disc + quadrant + cone | +| **Degenerate roll** (C8/R8) | the quadrant is drawn **hollow/hatched** — "roll undefined, pick a direction" | + +That last row is worth the trouble: it turns R8 from a message nobody reads into a mark you cannot +miss, and it costs one branch in the renderer. + +**Rule 6 — do not reuse the existing triad.** The bed-centre world triad +(`DesignCanvas.cpp:65`, `set_axes_at_bed_center`) and the move gizmo are already three-coloured arrows. +The connector must not be a fourth set of RGB arrows or the viewport becomes unreadable. The disc and +the quadrant are what distinguish it; keep the arms short, and consider drawing only Z on the +committed glyph, with X/Y implied by the quadrant. + +### Built and judged in the viewport, not in a mock + +The browser mock that first accompanied this section was the wrong instrument and its proportions +were meaningless: **every gizmo in this codebase is sized in SCREEN PIXELS** via `upp = 1/zoom` +(`render_shell_gizmo` uses `15.0 * upp`, `render_hole_gizmo` `9.0 * upp` for its cube). A connector +is a symbol, not a part — it must not shrink with the model. Nothing about that is visible in SVG. + +The glyph was therefore implemented and driven on the rig. Screenshots: `g-0*.png`, left in the workspace `artifacts/shots/` and not moved into the repo. +Five findings, none of which a mock could have produced: + +**F1 — Three axis arms lose to one.** Rendered side by side (`SNAPORCA_GLYPH=A` vs default), the +Onshape-style RGB trio crowds a 22 px disc: the arrowheads are as large as the disc, they bury the +gold quadrant, and at an oblique angle the three heads pile into a coloured smudge. Worse, **it is +indistinguishable from the move gizmo and the bed triad**, which are already RGB arrow trios in this +viewport. One-sided Z wins on evidence, not taste. (`g-01-zoom.png` vs `g-02-zoom.png`.) + +**F2 — Polarity works, and colour does more of the work than fill.** A filled blue head against an +open grey outline head is readable instantly at 22 px (`g-03-zoom.png`). But the fill difference is +the *second* cue; the colour split carries it. Keep both — fill survives greyscale and colour-blind +palettes, colour survives small size. + +**F3 — Depth off floats, depth on tears.** With `GL_DEPTH_TEST` off, connectors on faces pointing +*away* from the camera still drew their discs over the solid, so the part looked covered in frames +that were really on its back. Turning depth on fixed that and immediately caused **z-fighting**: the +disc is exactly coplanar with its face, and came out as a broken dotted arc. The fix is depth **on** +plus a sub-pixel lift along Z (`0.7 * upp`), scaled by `upp` so it never becomes a visible gap on +zoom-in. Both failure modes are in the images (`g-03` torn, `g-04` clean). + +**F4 — The quadrant is the first thing to die at a grazing angle.** On a face seen nearly edge-on the +disc foreshortens to a sliver and the fan collapses into a blob (`g-01-zoom.png`, lower-right glyph). +The roll is exactly the information that is hardest to read when you most need it. Not yet solved — +see the open item below. + +**F5 — Roll-undefined in red is too loud.** It works, but it makes the *least* important connector +the most eye-catching thing on screen. Amber, or the same grey with a hatched quadrant, is enough. + +Also surfaced while testing, and unrelated to the glyph: `add_mate` accepted a mate between two +connectors **on the same body**, which is meaningless, and duly transformed the body relative to +itself. Concrete instance of gap G6. + +**Still untested:** a true grazing view (the view-cube click missed), a connector on a curved face, +and behaviour when a connector overlaps the move gizmo. F4 is the open design question — the disc may +need to billboard its *quadrant* while keeping the disc in-plane, which is a compromise no surveyed +vendor makes and which should be tried before being adopted. + +### What this costs + +A renderer for `resolve_datum_coordsys()` — which does not exist and has to be written whatever glyph +is chosen — plus one dashed line and three fill states. No kernel work. It is the same piece of work +as G3 (live preview), and doing them together is what makes the mate card honest. + +--- + +## 8c. The "faceted ridge dome" proposal — built, rendered, judged + +A colleague proposed replacing the flat disc with an **asymmetric low-poly solid**: a faceted +prismatic wedge with a dominant longitudinal ridge that **slopes** from a tall steep back to a long +shallow front, plus a male protrusion / female pocket pair with a 0.2 mm clearance. + +It was built rather than discussed. `faceted_ridge_key.scad` (this folder) (6 vertices, 7 faces), +verified as a closed manifold, exported through OpenSCAD, and flat-shaded from five directions with +`render_key.py` / `render_stl.py`. Sheets: `rk-sheet.png`, `cmp-sheet.png`. + +### The verdict: the shape is right, the male/female polarity cue is not + +**It solves F4, decisively.** The grazing view — where the flat disc dies, its quadrant collapsing to +a blob — is the view where this shape is *most* legible: the tall back and long shallow front are +unmistakable in silhouette. At a grazing angle the silhouette IS the information, and this solid's +silhouette is maximally informative there. That is a real, evidence-backed win over what is currently +in the code. + +**Down the mating axis (+Z) it also reads well**, which matters because that is the natural viewing +direction when you are looking at a face you intend to mate. + +**One degenerate view, and it is not the one I predicted.** I expected the ±X views (along the ridge) +to be silhouette-ambiguous, resolved only by shading. Wrong: front and back are clearly *different* — +the front shows several facets, the back is a **single flat featureless triangle**. So they are not +confusable, but the view from directly behind the tall end tells you nothing about roll or slope. +A second blind spot remains untested: from below the base, where the protrusion is hidden behind its +own face. + +**The female half fails, and much harder than expected.** Rendered with flat shading and no outlines — +the honest test, since a viewport draws no black edges — a recessed pocket is *invisible*: iso and +grazing show a plain block with a hairline; straight down the axis shows a **completely blank +rectangle**. The interior faces are lit almost identically to the top face and are occluded by the rim +from most angles. As a polarity cue, male/female therefore works in exactly one direction and returns +nothing in the other. + +> **Conclusion: do not overload shape with all three jobs.** Let the solid carry **verse and roll**, +> where it is excellent, and carry **polarity on a second channel** — colour plus the filled/open head +> that already tested well at 22 px (F2). Drawing the fixed connector as an outline/wireframe of the +> same solid is the variant worth trying; drawing it as a pocket is not. + +### Two premises in the brief are wrong + +**"Avoid curved surfaces to optimise rendering computations / rapid mesh processing."** Not a reason +for a viewport glyph. There are 2–20 connectors on screen, the renderer pushes `GLModel` triangles +directly, and it performs no CSG or mesh processing at all. **The real argument for flat facets is +legibility**: hard normals give distinct value steps between adjacent facets, and the renders confirm +that is exactly what makes the shape readable from an arbitrary angle. Keep the constraint, fix the +justification. (For a *printed* part the original justification is sound for a different reason: flat +facets slice without the stair-stepping a tessellated curve produces.) + +**"0.2 mm clearance for smooth mechanical mating."** Meaningless for a glyph. A symbol mates with +nothing, and every gizmo here is sized in screen pixels via `upp`, so a millimetre tolerance has no +referent. This is the strongest signal that **the brief was written for a physical printed part**, +not for a viewport symbol — as are "scannable" and "mechanical mating". See the open question below. + +### Two defects the build caught that discussion would not have + +1. **The flank quads are not planar.** Written as `[0,3,5,4]` and `[1,4,5,2]` the base edge and the + ridge edge are skew, so the four corners do not share a plane — my own first draft asserted the + opposite in a comment. Left as quads, the tessellator picks the fold direction, the "flat facet" + promise is broken by an unspecified crease, and two exporters can disagree about the shape. Fixed + by triangulating explicitly (7 faces, Euler 6 − 11 + 7 = 2). +2. **The pocket punched through its own plate.** A 4.5 mm key against a 3 mm demo plate gives a + through-hole, not a pocket. Minimum stock = height + clearance + pocket depth + a wall. + +Also worth recording: the first female render was misleading because the debug renderer outlined +*every* triangle, so a flat top face triangulated by CGAL looked like a faceted dome. The instrument +lied before the geometry did. Conclusions were only drawn after outlines were removed. + +### Second opinion, and the one disagreement worth resolving + +Kimi reviewed the proposal independently and **rejected it for the viewport**. It agreed on the two +wrong premises, agreed the female pocket is unreadable, and added the useful framing that a +screen-constant symbol and a model-constant part feature are two different design spaces that cannot +be served by one geometry. It also noted correctly that there is **no single scalar** that removes +ambiguity from every view: you need one asymmetry in the base plane (for top-down roll) and one out +of plane (the ridge slope, for front/back). Our base is scalene, so it has both. + +Its central objection was numeric and testable: *"at 22 px with 6–8 facets each facet is 3–7 px wide, +that is at the aliasing limit … minimum useful size is roughly 32–48 px, which is not compatible with +a 22 px screen-constant symbol."* My own renders were ~300 px, so the claim was unaddressed by my +evidence and would have killed the concept if true. + +**Rendered at 22, 32 and 48 px (`size-test.png`), it is false for this shape.** At 22 px all three +views still read: the grazing view shows the tall back and shallow front unmistakably, and the +down-axis view keeps a strong dark/light split. The reason Kimi's arithmetic does not apply is that +this solid presents only **four or five large facets with high value contrast**, not eight small ones — +the silhouette does most of the work, and silhouettes survive downsampling far better than facet +detail does. + +*Honest limit on that result:* the test renderer has no anti-aliasing, no perspective, one directional +light, and no background. Readable at 22 px against white is not the same as readable at 22 px on top +of a shaded gold part next to the move gizmo. That case still needs the rig. + +**Where I do not follow Kimi:** its recommendation is to **billboard** the existing flat glyph so it +never turns edge-on. That kills F4 by construction, but a billboarded frame cannot show the frame's +orientation *in place* — which is the entire reason the disc is a disc and not a dot — and it is what +no surveyed CAD system does; Onshape, Fusion and FreeCAD all draw the frame in the geometry. Worth +prototyping as an option, not worth adopting on argument. + +### Open question for Tommaso + +**Is this a viewport glyph or a printable alignment feature?** The vertex logic is identical either +way; only the units and the clearance change, and the `.scad` file states both readings. But the +answer decides whether `clr`/`depth` are real millimetres or meaningless, and whether the geometry +scales with the model or stays screen-constant. The brief's own language points at "physical", the +conversation it arrived in points at "glyph". + +--- + +## 9. Decisions for you + +**D1 — Invert the default direction to Facing?** [DEVIATION, R5] +It changes the meaning of every stored document containing a mate. Options: (a) invert and migrate, +writing `direction=Aligned` where `mate_flip` was false; (b) invert only for new mates and store +`direction` explicitly from now on. (b) is safer and costs one field. Note this project has taken one +such semantic hit knowingly before — the `snaporca-en4` fix — and the golden fixture survived, so the +migration path is a known quantity. **If G3 (live preview) lands first, this matters much less.** + +**D2 — How far to take origin candidates?** [R9] +Four kinds is the Fusion-aligned recommendation. Two (face centroid + arc centre) would cover "sit on +a face" and "go down a hole" — most printed-part assembly — at a third of the work. Where do you want +to stop? + +**D3 — Ball mate: in or out?** +In four of five frame-based systems, so including it is the aligned choice. Out is defensible for +printable mechanical parts. Cheap either way — align origins, leave orientation free. Kimi's review +argued **out**: a true ball joint is hard to print and hard to use without a roll reference, and a +Fastened connector at the ball centre approximates it. + +**D3a — Should Planar be dropped?** [dissent worth recording] +Kimi's independent review recommended **removing Planar** and shipping four types, on the grounds that +"slide on a flat surface" is rarely how printed mechanisms work — you usually want a rail or a hinge — +and that Planar is the type most likely to confuse a user who expected "put this flat on that" and got +a part free to slide. It further ranked the honest minimum as **three**: Fastened, Revolute, Slider, +with Cylindrical useful and decomposable. +**I do not agree, and the reason is alignment.** Planar appears in every frame-based system surveyed, +it is a genuine lower pair, it is already implemented and tested, and removing it is a document-format +change made in exchange for nothing. The confusion Kimi names is real but it is a *feedback* problem — +it is exactly what R17 (show the DOF budget) and R13 (say that free DOF are preserved) exist to fix. +Recorded here because it is a legitimate reading of the same evidence and the call is yours. + +**D4 — Is refusing a second mate per body acceptable?** [DEVIATION, R11 — the big one] +It is the honest consequence of having no solver, and it is what makes the tool predictable. But **no +mainstream system behaves this way**, so it is the point where an experienced user's intuition will +break. It means a part cannot be constrained by two independent relationships — "in this hole *and* +resting on this shoulder" must be expressed by placing one connector correctly rather than by two +mates. If that trade is unacceptable, the answer is a solver, and the scope of this document changes +entirely. + +There is a strong argument that the trade is not merely acceptable but *correct for this product*: +the Design tab lives inside a slicer, and most of its users are positioning parts for printing rather +than building working mechanisms. For layout-and-export, tree-order composition is genuinely enough, +and adding a solver to look like Onshape would buy complexity nobody asked for. The rule to publish is +then simple and defensible: **one mate per moving body, acyclic, no relations between mates** — with +R18's loud refusals carrying the honesty. + +--- + +## Sources + +**Onshape** — [Mate Connector](https://cad.onshape.com/help/Content/PartStudio/mate_connector.htm) · +[Mates](https://cad.onshape.com/help/Content/Assembly/mates.htm) · +[Fastened](https://cad.onshape.com/help/Content/Assembly/fastened_mate.htm) · +[Revolute](https://cad.onshape.com/help/Content/Assembly/revolute_mate.htm) · +[Slider](https://cad.onshape.com/help/Content/Assembly/slider_mate.htm) · +[Cylindrical](https://cad.onshape.com/help/Content/Assembly/cylindrical_mate.htm) · +[Planar](https://cad.onshape.com/help/Content/Assembly/planar_mate.htm) · +[Ball](https://cad.onshape.com/help/Content/Assembly/ball_mate.htm) · +[Parallel](https://cad.onshape.com/help/Content/Assembly/parallel_mate.htm) · +[Tangent](https://cad.onshape.com/help/Content/Assembly/tangent_mate.htm) · +[Pin Slot](https://cad.onshape.com/help/Content/Assembly/pin_slot_mate.htm) · +[5 things you can do with mate connectors in Part Studios](https://www.onshape.com/en/resource-center/tech-tips/tech-tip-5-things-you-can-do-with-mate-connectors-in-onshape-part-studios) + +**Onshape forum** — [The concept behind Mates Z Axes](https://forum.onshape.com/discussion/22828/the-concept-behind-mates-z-axes) (C1/D3) · +[Implicit mate connectors act differently than explicit ones](https://forum.onshape.com/discussion/15736/implicit-mate-connectors-act-differently-than-explicit-ones) (C4) · +[Efficiently set mate connectors](https://forum.onshape.com/discussion/13133/efficiently-set-mate-connectors) + +**Fusion 360** — [Joint types](https://help.autodesk.com/cloudhelp/ENU/Fusion-Assemble/files/GUID-8818AE31-958A-4A59-989B-9875A174C67A.htm) · +[Joint origins](https://help.autodesk.com/view/fusion360/ENU/?guid=ASM-JOINT-ORIGIN) · +[Joints vs. Mates in Fusion](https://www.autodesk.com/products/fusion-360/blog/joints-mates-moving-fusion/) · +[Joint tips — snap points and Ctrl cycling](https://mgfx.co.za/blog/engineering-manufacturing-design/fusion-360-joint-tips/) + +**Inventor** — [Create Joints Reference](https://help.autodesk.com/cloudhelp/2026/ENU/Inventor-Help/files/GUID-6AA68E8F-7C97-4806-8483-3941DE915E70.htm) · +[Use Joint to define and manage relationships](https://knowledge.autodesk.com/support/inventor-products/learn-explore/caas/CloudHelp/cloudhelp/2014/ENU/Inventor/files/GUID-21DC3336-5C51-42C1-90FB-4299CD66E0C6-htm.html) (type inference, D2) + +**FreeCAD 1.0** — [Assembly Workbench](https://wiki.freecad.org/Assembly_Workbench) · +[Fixed Joint properties](https://wiki.freecad.org/Assembly_CreateJointFixed) + +**Creo** — [About Predefined Constraint Sets](https://support.ptc.com/help/creo/creo_pma/r12/usascii/assembly/asm/About_Predefined_Constraint_Sets.html) + +**Siemens NX** — [Assembly constraints](https://learnnx.com/lesson/siemens-nx-assemblies-assembly-constraints/) + +**SOLIDWORKS** — [Mate References](https://help.solidworks.com/2025/English/SolidWorks/sldworks/c_Mate_References_Overview_SWassy.htm) · +[Creating and using mate references](https://blogs.solidworks.com/tech/2019/07/creating-and-using-mate-references.html) + +**Theory** — [Hervé, The Lie group of rigid body displacements, a fundamental tool for mechanism design](https://www.sciencedirect.com/science/article/abs/pii/S0094114X98000512) · +[Joint kinematics — the six lower pairs and their DOF](https://erc-bpgc.github.io/handbook/mechanical/Joint%20Kinematics/) · +[ISO 10303-105 — Kinematics (STEP integrated resource)](https://www.iso.org/standard/78589.html) + +**Internal** — `snaporca-en4` (closed 2026-07-26, fixes C2 here) · `CadDocument.cpp:1669` +`datum_frame` · `CadDocument.cpp:2961` `apply_mate` · `CadDocument.cpp:1302` `add_mate` + +**Second opinion** — an independent review by Kimi Code (2026-08-05) contributed the +vendors-ship-both caveat (§1), the explicit-dropdown option for origin choice (D1), the expanded +refusal list (R11a), the retrofit list (§8), and the dissents recorded at D3/D3a. 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zRMbr!8ajEz^dBmozq@$kKCxRFEW9V?UZ3D56>Moj_F|AEoqQ66QI0kvJ^j}thN7|e zp;Md*tU1*80iLmHbBjM;jj*4o*Nz3(Qff@PQwBeOfCl890zFU_%cNO4-)(5h4|SeB zH2ms3YKFdB14shr8XNqGvAbx#;t~j&Ps2^s>>p2u{szi>fu5v5(nXrBqXnKL-wBTo z4_B+xA{k_ksk#)N2qHHJ&2G3<>eG%0^sK`JG$Tp0fs&qT<5W1&h(I$(X&`Apoebf{ zR+B~ooXu@SGzzy%6yj-`%@;tDj*gdSl_*r)bhZGp9uw%no8kZQk=rFWR6?CMLWxHF zG@7CL7gL@xQV>9T5lRa(kb?c)5{73XXbRI}3{)d-9$?ZXo8e_?E8O6NqGN8YfX#VUFz*{@V`v|ctn*;dd%&=EdzG=uzLD>X#q|g_VbYWhLtWiyaEFuBG zr+u$)HfoD*Li&`s0Osj;U9iW(EQiMFQ~-E#Wol4@6`+U$6To=~m+|szIKJc`n%Dq} z%cI{-Fb{%?3JeH6Ex|GVIxCg?Vm*p-M0}wEJ8Al>F8N|54Va2pb4hR<(sOFeb_eJ% zI>3^Rz|WN?*aO`gG}&37f&rIRDA`7v1EAi4kvK{oX%pBa0hy}A1?W3!6#n^VQ_cV? z#h(-C*$E(DG)f<5mEcH@@@y1S`sV@AU4B+sp&rS91~dsvaD;_vQpAM+0Wxj@Jn4y) zMXHK<4lT|@V#Gm_zCaN}A-*sp+GNRpt3t4c`mZJABskb)R2v(P{j&t5MMePlQ5rf_|sI@qLI8a}Q34fnX{#g^^ zPEvFA6shzdqV#qEQdEn)r)qPBL=`jaFM0Us6rN34`+f~1eVn)d>jN{3xEIl=X?K;ua;If+;3KLK6&b7i%zI + + + + +Mate connector glyph — polarity and verse + + + +

+ +
+
SnapOrca Design · assembly
+

Mate connector glyph — polarity and verse

+

+ Onshape's core (disc + roll quadrant + Z arrow) is adopted unchanged because it is proven and + aligned. The addition is polarity — which connector is anchored and + which one travels — which no surveyed CAD system encodes in its glyph. +

+
+ +

The three jobs of the glyph

+
+
+
+ + + + +
+
Disc — the XY plane
+

Says “I am a frame, and this is the plane I sit in.” The dot is the exact origin.

+
+ +
+
+ + + + + +
+
Quadrant — the roll
+

+ The filled sector is the +X/+Y quadrant. It steps 90° with the reorient control, so the + clocking that Fastened and Slider lock is visible before you commit. +

+
+ +
+
+ + + + + + + +
+
Arrow — the verse
+

+ Drawn on +Z only. Nothing below the disc. A double-headed axis is what + makes people ask which way it points; a one-sided arrow cannot be misread. +

+
+
+ +

Polarity — the part nobody else draws

+
+
+
+ + + + + + + + +
+
Fixed — the socket
+

+ Hollow head, muted colour. This body does not move. It receives. +

+
+ +
+
+ + + + + + + +
+
Driven — the plug
+

+ Solid head, active colour. This body is the one that jumps. It inserts. +

+
+ +
+
+ + + + + + + + + + + + +
+
Roll undefined
+

+ Hatched quadrant, dashed disc: a circular face or a seam gave no usable direction. Says + “pick a direction” without a dialog. +

+
+
+ +

The pair reads as a magnet

+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + fixed · receives + driven · inserts + +
+

+ Two arrows nose to nose. Because a magnet's north seeks a south, “facing” is the + self-evident default — which settles open decision D1 on visual grounds instead of a + convention nobody can look up. Nothing has to be remembered: the picture is the rule. + The dashed line is what makes the two glyphs read as one object. +

+
+ +

States

+
+ + + + + + + + + + + + + + + + + + + + + +
StateDrawingWhy
Candidate (hover)small dot onlyOnshape draws plain white dots at every corner and midpoint. Dots propose; the full glyph commits.
Pickeddisc + quadrant + coneThe committed frame, with roll and verse both readable.
Roll undefinedhatched quadrant, dashed discTurns requirement R8 from a message nobody reads into a mark you cannot miss.
+
+ +

Constraints on the drawing

+
+

+ Do not make it a fourth RGB triad. The bed-centre world triad + (DesignCanvas.cpp:65) and the move gizmo are already three coloured arrows. The disc + and the quadrant are what tell a connector apart from those — keep the arms short, and consider + drawing only Z on the committed glyph, with X and Y implied by the quadrant. +

+
+ roll quadrant + Z / driven + fixed + roll undefined +
+
+ +
+ + diff --git a/docs/design/mate-connectors/coplanar_test.py b/docs/design/mate-connectors/coplanar_test.py new file mode 100644 index 0000000000..ea02ed3c80 --- /dev/null +++ b/docs/design/mate-connectors/coplanar_test.py @@ -0,0 +1,68 @@ +# Does the connector pair let two hosts sit COPLANAR, or does it hold them apart? +# +# The male's flat back is the plane Y=0 and all its relief rises to +Y. So Y=0 is the natural +# mating datum: everything the male adds lives on one side of it. The test below builds two dummy +# host plates that meet on that plane -- one with the male FUSED on, one with the cavity CUT in -- +# and measures whether they touch, interfere, or stand apart. +# +# It also emits the artifact that makes this work in practice: a CUTTER solid (the male grown by +# the clearance) that you subtract from any host. A standalone female block cannot keep two hosts +# coplanar, because its own floor material stands between them; a cavity can. +# +# Run: /snap/bin/freecad.cmd coplanar_test.py + +import os +import FreeCAD as App +import Part +from FreeCAD import Vector + +HERE = os.path.dirname(os.path.abspath(__file__)) +MALE = os.path.join(HERE, "bear.step") +CLEAR = 0.20 + +male = Part.Shape(); male.read(MALE); male = male.Solids[0] +bb = male.BoundBox +print(f"male relief: Y {bb.YMin:.3f} .. {bb.YMax:.3f} -> datum plane Y=0, all relief on +Y") + +# the flat back face, and proof it is the whole silhouette sitting on Y=0 +back = max((f for f in male.Faces + if abs(f.CenterOfMass.y) < 1e-6 and abs(abs(f.normalAt(0, 0).y) - 1) < 1e-6), + key=lambda f: f.Area) +print(f"back face : {back.Area:.1f} mm2 on Y=0 -- this is the contact surface") + +# ---- the cutter: the male grown by the clearance, poking 0.2 mm proud so the boolean is clean +cutter = male.makeOffsetShape(CLEAR, 1e-6, False, False, 0, 2, False).Solids[0] +cb = cutter.BoundBox +print(f"cutter : Y {cb.YMin:.3f} .. {cb.YMax:.3f}, {cutter.Volume/1000:.2f} cm3") + +# ---- two dummy hosts meeting on Y = 0 +W, H = 120.0, 100.0 +hostA = Part.makeBox(W, 10.0, H, Vector(-W/2, -10.0, -15.0)) # occupies Y -10..0 +hostB = Part.makeBox(W, 30.0, H, Vector(-W/2, 0.0, -15.0)) # occupies Y 0..30 + +partA = hostA.fuse(male) # male stands proud of A's face +partB = hostB.cut(cutter) # cavity sunk into B from its face + +print(f"\npart A (host + male) : {partA.Volume/1000:.2f} cm3") +print(f"part B (host - cutter) : {partB.Volume/1000:.2f} cm3") + +# ---- the question ------------------------------------------------------------------ +inter = partA.common(partB) +iv = inter.Volume if inter.Solids else 0.0 +gap = partA.distToShape(partB)[0] +print(f"\nRESULT interference A vs B : {iv:.6f} mm3 (0 = they do not collide)") +print(f"RESULT closest approach : {gap:.4f} mm (0 = the host faces are touching)") + +# are the two host faces actually on the same plane? +fa = [f for f in partA.Faces if abs(f.CenterOfMass.y) < 1e-9 and abs(abs(f.normalAt(0,0).y)-1) < 1e-6] +fb = [f for f in partB.Faces if abs(f.CenterOfMass.y) < 1e-9 and abs(abs(f.normalAt(0,0).y)-1) < 1e-6] +print(f"RESULT A has {len(fa)} face(s) lying exactly on Y=0, total {sum(f.Area for f in fa):.1f} mm2") +print(f"RESULT B has {len(fb)} face(s) lying exactly on Y=0, total {sum(f.Area for f in fb):.1f} mm2") +print("RESULT -> the hosts meet on Y=0: COPLANAR" if fa and fb and iv < 1e-3 + else "RESULT -> NOT coplanar") + +doc = App.newDocument("Cutter") +o = doc.addObject("Part::Feature", "BearConnector_Cutter"); o.Shape = cutter +doc.recompute() +Part.export([o], os.path.join(HERE, "BearConnector_Cutter.step")) +print(f"\nwrote BearConnector_Cutter.step -- subtract this from any host to get the socket") diff --git a/docs/design/mate-connectors/cylindricalmateconnectors.png b/docs/design/mate-connectors/cylindricalmateconnectors.png new file mode 100644 index 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z;$OGLF6~!dd$u*4*4Q<=irgQmCD0Mw_8fRT2ZN`ppUXO@geCwhhd4k0 literal 0 HcmV?d00001 diff --git a/docs/design/mate-connectors/extract_outline.py b/docs/design/mate-connectors/extract_outline.py new file mode 100644 index 0000000000..1471a0fd43 --- /dev/null +++ b/docs/design/mate-connectors/extract_outline.py @@ -0,0 +1,57 @@ +# Pull the bear's true silhouette and feature positions out of the supplied male B-rep, so the +# simplification study starts from measured geometry instead of a tracing of the flat drawing. +# +# The part's native frame (make_female.py): flat back on Y=0, relief rising to Y=+17.27, the FACE +# carried by X and Z. So the face plane is XZ and the silhouette is the outline projected along Y. +import os, json +import Part + +HERE = os.path.dirname(os.path.abspath(__file__)) +s = Part.Shape(); s.read(os.path.join(HERE, "bear.step")) +sol = s.Solids[0] +bb = sol.BoundBox +print(f"bbox X {bb.XMin:.2f}..{bb.XMax:.2f} Y {bb.YMin:.2f}..{bb.YMax:.2f} Z {bb.ZMin:.2f}..{bb.ZMax:.2f}") + +# The back plate face: the planar face whose normal is -Y and which sits at Y=YMin. Its outer wire +# IS the silhouette; its inner wires are the eye holes. +best = None +for f in sol.Faces: + if f.Surface.__class__.__name__ != "Plane": + continue + n = f.Surface.Axis + if abs(abs(n.y) - 1.0) > 1e-6: + continue + c = f.CenterOfMass + if best is None or c.y < best[0]: + best = (c.y, f) +y, face = best +print(f"back plate at Y={y:.3f} wires={len(face.Wires)} area={face.Area:.1f} mm2") + +def wire_pts(w, tol=0.05): + pts = [] + for e in w.Edges: + for p in e.discretize(Deflection=tol): + pts.append((round(p.x, 3), round(p.z, 3))) + # drop consecutive duplicates + out = [pts[0]] + for p in pts[1:]: + if abs(p[0]-out[-1][0]) > 1e-4 or abs(p[1]-out[-1][1]) > 1e-4: + out.append(p) + return out + +data = {"outer": None, "holes": []} +outer = face.OuterWire +data["outer"] = wire_pts(outer) +for w in face.Wires: + if w.isSame(outer): + continue + pts = wire_pts(w) + xs = [p[0] for p in pts]; zs = [p[1] for p in pts] + data["holes"].append({"pts": pts, + "cx": round(sum(xs)/len(xs), 3), "cz": round(sum(zs)/len(zs), 3), + "d": round(max(xs)-min(xs), 3)}) + print(f" hole: centre ({data['holes'][-1]['cx']}, {data['holes'][-1]['cz']}) dia {data['holes'][-1]['d']}") + +print(f"outer wire: {len(data['outer'])} points") +json.dump(data, open(os.path.join(HERE, "bear_outline.json"), "w")) +print("WROTE bear_outline.json") diff --git a/docs/design/mate-connectors/faceted_ridge_key.scad b/docs/design/mate-connectors/faceted_ridge_key.scad new file mode 100644 index 0000000000..3eb60064fb --- /dev/null +++ b/docs/design/mate-connectors/faceted_ridge_key.scad @@ -0,0 +1,140 @@ +// Faceted ridge key — asymmetric male/female alignment feature, flat facets only. +// +// 6 vertices, 7 faces, one closed manifold. Euler check: V - E + F = 6 - 11 + 7 = 2. +// No spheres, no cylinders, no splines, no fillets. +// +// THE FLANKS ARE TRIANGULATED EXPLICITLY, and that is not cosmetic. Written as quads +// [0,3,5,4] and [1,4,5,2] they are NOT planar — the base edge and the ridge edge are +// skew, so the four corners do not share a plane. A checker caught this after the first +// draft claimed the opposite. Left as quads, the tessellator picks the fold direction for +// you, which means the "flat facet" promise is broken by an unspecified crease and two +// exporters can disagree about the shape. Splitting them here fixes the crease at +// back-bottom -> front-ridge, which keeps the rear peak's triangle large and clean. +// +// FRAME CONVENTION (matches the CAD mate connector it is derived from): +// +Z the mating axis — the feature protrudes along it +// +X the roll reference — the ridge runs along it, low end forward +// +Y completes the right-handed frame +// +// WHAT BREAKS WHICH SYMMETRY +// rotational about Z ....... the ridge (elongation along X) +// 180 deg about Z .......... the ridge SLOPE: tall steep back, long shallow front +// mirror across XZ ......... deliberately NOT broken. Handedness is fixed by convention, +// so +Y is implied once Z and X are known. Breaking it would +// add a facet and buy nothing. +// +// KNOWN AMBIGUITY, stated rather than hidden: viewed exactly ALONG the ridge (+/-X, +// orthographic), the silhouette is the same isoceles triangle from front and back. Front +// and back are then distinguished by SHADING only — the long shallow front face catches +// light differently from the steep back face. If the target renderer is flat-shaded with a +// single headlight, verify this case before committing to the shape. + +// ---------------------------------------------------------------- parameters +L = 12.0; // overall length along the ridge (X) +W = 4.0; // half-width at the BACK +tf = 0.45; // front taper: front half-width = W * tf +H = 4.5; // peak height at the rear <-- the single dimension controlling asymmetry +pr = 0.22; // rear ridge position, fraction of L from the back +pf = 0.62; // front ridge position, fraction of L from the back +hf = 0.35; // front ridge height, fraction of H + +// Clearance is a PHYSICAL quantity and only means anything if this is a printed part. +// See the note at the bottom: for a viewport glyph it is meaningless. +clr = 0.20; // per-face clearance, mm +depth = 0.40; // extra pocket depth so the male never bottoms out before it seats + +Wf = W * tf; +xr0 = -L/2 + L * pr; +xr1 = -L/2 + L * pf; +Hf = H * hf; + +// ---------------------------------------------------------------- geometry +// Vertex order is fixed and referenced by the face table; do not reorder. +// 0 back-left 1 back-right 2 front-right 3 front-left +// 4 REAR PEAK (tall) 5 front ridge (low) +function ridge_pts(l, w, wf, h, hfr, x0, x1) = [ + [-l/2, -w, 0 ], // 0 + [-l/2, w, 0 ], // 1 + [ l/2, wf, 0 ], // 2 + [ l/2, -wf, 0 ], // 3 + [ x0, 0, h ], // 4 rear peak + [ x1, 0, hfr] // 5 front ridge, low +]; + +// OpenSCAD wants each face wound CLOCKWISE seen from OUTSIDE. The right-hand-rule +// outward-normal (CCW) form is given in the comment for anyone porting to STL/OCC, +// where the opposite convention is the usual one. +RIDGE_FACES = [ + [3, 2, 1, 0], // base (CCW-outward: [0,1,2,3]) planar, all z=0 + [1, 4, 0], // back (CCW-outward: [0,4,1]) steep + [5, 3, 0], // flank -Y a (CCW-outward: [0,3,5]) + [4, 5, 0], // flank -Y b (CCW-outward: [0,5,4]) + [5, 4, 1], // flank +Y a (CCW-outward: [1,4,5]) + [2, 5, 1], // flank +Y b (CCW-outward: [1,5,2]) + [5, 2, 3] // front (CCW-outward: [3,2,5]) long, shallow +]; + +module ridge_key(l = L, w = W, wf = Wf, h = H, hfr = Hf, x0 = xr0, x1 = xr1) { + polyhedron(points = ridge_pts(l, w, wf, h, hfr, x0, x1), + faces = RIDGE_FACES, + convexity = 3); +} + +// MALE: the protrusion, nominal size. +module ridge_key_male() { ridge_key(); } + +// FEMALE: the pocket. Grown by `clr` on every side and sunk `depth` deeper. +// +// HONEST LIMITATION: this grows the key by scaling its defining dimensions, which is NOT a +// true uniform surface offset — on the shallow front face the normal clearance comes out +// smaller than `clr`, because that face is far from perpendicular to every axis it is +// scaled along. A true offset needs minkowski() with a small cube, which is exact and slow, +// or an explicit per-face plane push, which is exact and fiddly. For a keying feature whose +// job is angular registration rather than a press fit, the approximation is the right trade +// — but do not quote this pocket as holding 0.2 mm everywhere, because it does not. +module ridge_key_female() { + translate([0, 0, -depth]) + ridge_key(l = L + 2*clr, + w = W + clr, + wf = Wf + clr, + h = H + clr + depth, + hfr = Hf + clr + depth, + x0 = xr0, + x1 = xr1); +} + +// ---------------------------------------------------------------- demo +// Left: the male key on its plate. Right: the plate with the pocket cut. +PLATE = [30, 18, 3]; + +module plate_with_male() { + translate([-PLATE[0]/2, -PLATE[1]/2, -PLATE[2]]) cube(PLATE); + ridge_key_male(); +} + +module plate_with_female() { + difference() { + translate([-PLATE[0]/2, -PLATE[1]/2, -PLATE[2]]) cube(PLATE); + ridge_key_female(); + } +} + +translate([-20, 0, 0]) plate_with_male(); +translate([ 20, 0, 0]) plate_with_female(); + +// ---------------------------------------------------------------- note on the two readings +// This file is written for the PHYSICAL reading: a printable alignment key, where `clr` and +// `depth` are real millimetres and flat facets genuinely help — they slice without the +// stair-stepping a tessellated curve produces, and they print without support on the +// shallow front face. +// +// If the intent is instead the VIEWPORT GLYPH for a CAD mate connector, then: +// - `clr` and `depth` are meaningless: a symbol does not mate with anything; +// - all dimensions must become SCREEN PIXELS scaled by upp = 1/zoom, because every gizmo +// in that viewport is screen-constant and must not shrink with the model; +// - "low-poly for rendering performance" is not a real reason at ~2-20 glyphs per frame. +// The real reason to keep flat facets there is LEGIBILITY: hard normals give distinct +// value steps between facets, and that is what lets a 22-px solid read as an oriented +// object instead of a grey blob. +// The vertex logic above is identical under both readings. 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= [p[1] for p in ALL] +CX, CY = (min(xs)+max(xs))/2, (min(ys)+max(ys))/2 +SPAN = max(max(xs)-min(xs), max(ys)-min(ys)) +def to_unit(pts): return [((x-CX)/SPAN, (y-CY)/SPAN) for x, y in pts] + +def rdp(pts, eps): + """Douglas-Peucker. Vertex count is the honest measure of 'how simplified'.""" + if len(pts) < 3: return pts + ax, ay = pts[0]; bx, by = pts[-1] + dx, dy = bx-ax, by-ay + n = math.hypot(dx, dy) + best, bi = -1.0, 0 + for i in range(1, len(pts)-1): + px, py = pts[i] + d = abs(dx*(ay-py) - (ax-px)*dy)/n if n > 1e-12 else math.hypot(px-ax, py-ay) + if d > best: best, bi = d, i + if best <= eps: + return [pts[0], pts[-1]] + return rdp(pts[:bi+1], eps)[:-1] + rdp(pts[bi:], eps) + +def simp_closed(pts, eps): + r = rdp(pts + [pts[0]], eps) + return r[:-1] + +def centroid(pts): + return (sum(p[0] for p in pts)/len(pts), sum(p[1] for p in pts)/len(pts)) + +U_OUT = to_unit(outer) +U_EYE = [to_unit(e) for e in eyes] +U_MUZ = [to_unit(m) for m in muzzle] + +def eye_dots(scale=1.0): + out = [] + for e in U_EYE: + cx, cy = centroid(e) + r = max(max(p[0] for p in e)-min(p[0] for p in e), + max(p[1] for p in e)-min(p[1] for p in e))/2*scale + out.append((cx, cy, r)) + return out + +def muzzle_tri(): + """The muzzle reduced to one filled triangle: its two lower corners and its apex.""" + m = U_MUZ[0] + lo = min(p[1] for p in m); hi = max(p[1] for p in m) + bottom = [p for p in m if p[1] < lo + 0.06*(hi-lo)] + apex = max(m, key=lambda p: p[1]) + return [min(bottom), max(bottom), apex] + +CANDIDATES = { + "C0 full": dict(out=U_OUT, eyes=eye_dots(), muz=U_MUZ[0]), + "C1 eps .004": dict(out=simp_closed(U_OUT, .004), eyes=eye_dots(), muz=simp_closed(U_MUZ[0], .004)), + "C2 eps .012": dict(out=simp_closed(U_OUT, .012), eyes=eye_dots(), muz=muzzle_tri()), + "C3 eps .030": dict(out=simp_closed(U_OUT, .030), eyes=eye_dots(1.15), muz=muzzle_tri()), + "C4 no eyes": dict(out=simp_closed(U_OUT, .012), eyes=[], muz=muzzle_tri()), +} + +def sym_report(pts, tol=0.02): + """Trivial symmetry group is the property doing the work. If a simplification restores a + mirror or a 180 deg rotation, that simplification is wrong.""" + def match(tf): + t = [tf(p) for p in pts] + hit = 0 + for q in t: + if min(math.hypot(q[0]-p[0], q[1]-p[1]) for p in pts) <= tol: hit += 1 + return hit, len(pts) + return { + "mirror-x": match(lambda p: (-p[0], p[1])), + "mirror-y": match(lambda p: ( p[0], -p[1])), + "rot-180": match(lambda p: (-p[0], -p[1])), + } + +def render(c, px, elev_deg, supersample=8): + S = px*supersample + img = Image.new("L", (S, S), 0) + d = ImageDraw.Draw(img) + k = math.sin(math.radians(elev_deg)) + def m(p): + return (S/2 + p[0]*S*0.92, S/2 - p[1]*S*0.92*k) + d.polygon([m(p) for p in c["out"]], fill=255) + if c["muz"]: d.polygon([m(p) for p in c["muz"]], fill=0) + for cx, cy, r in c["eyes"]: + a = m((cx-r, cy+r)); b = m((cx+r, cy-r)) + d.ellipse([a[0], a[1], b[0], b[1]], fill=0) + return img.resize((px, px), Image.LANCZOS) + +print(f"{'candidate':14} {'verts':>6} {'marks':>6} symmetry (matched/total, lower is better)") +print("-"*78) +for name, c in CANDIDATES.items(): + s = sym_report(c["out"]) + marks = 1 + (1 if c["muz"] else 0) + len(c["eyes"]) + sym = " ".join(f"{k} {v[0]}/{v[1]}" for k, v in s.items()) + print(f"{name:14} {len(c['out']):6} {marks:6} {sym}") + +SIZES = [22, 32, 48] +ELEVS = [(90, "flat on"), (47, "47 deg"), (16, "16 deg"), (6, "6 deg")] +pad, cell = 8, 56 +W = pad + len(SIZES)*len(ELEVS)*cell + pad +H = pad + len(CANDIDATES)*cell + pad +sheet = Image.new("RGB", (W, H), (24, 27, 32)) +for r, (name, c) in enumerate(CANDIDATES.items()): + for ci, (elev, _) in enumerate(ELEVS): + for si, px in enumerate(SIZES): + g = render(c, px, elev) + tile = Image.new("RGB", (px, px), (24, 27, 32)) + gold = Image.new("RGB", (px, px), (237, 168, 23)) + tile.paste(gold, (0, 0), g) + x = pad + (ci*len(SIZES)+si)*cell + (cell-px)//2 + y = pad + r*cell + (cell-px)//2 + sheet.paste(tile, (x, y)) +sheet = sheet.resize((W*2, H*2), Image.NEAREST) +sheet.save(os.path.join(HERE, 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b/docs/design/mate-connectors/trim_female.py @@ -0,0 +1,74 @@ +# Trim the boxy frame off the female so its outer shape is the bear face itself. +# +# Method: take the male's flat back face (the plane Y=0 -- that face IS the bear silhouette), +# offset its OUTER wire outward in 2D, extrude the result along the insertion axis, and keep only +# the part of the female inside it. Everything outside is the block frame and goes away. +# +# NOTE ON THE NUMBER. The pocket's side walls stand at +0.20 mm from the male outline, because that +# is the clearance. A trim boundary at +0.10 mm therefore falls INSIDE them by 0.10 mm and removes +# the side wall entirely rather than leaving a thin one. The script runs the requested value and +# then measures what is actually left, so the outcome is a number rather than an opinion; it also +# emits a second variant at an offset that leaves a printable wall, for comparison. +# +# Run: /snap/bin/freecad.cmd trim_female.py + +import os, sys +import FreeCAD as App +import Part +from FreeCAD import Vector + +HERE = os.path.dirname(os.path.abspath(__file__)) +MALE = os.path.join(HERE, "bear.step") +FEMALE = os.path.join(HERE, "BearConnector_Female.step") + +REQUESTED = 0.10 # as asked +CLEARANCE = 0.20 # what the pocket was built with +SAFE_WALL = 1.60 # a wall that survives an FDM nozzle: clearance + ~1.4 mm + +male = Part.Shape(); male.read(MALE); male = male.Solids[0] +fem = Part.Shape(); fem.read(FEMALE); fem = fem.Solids[0] +print(f"female in : {fem.Volume/1000:.2f} cm3, {len(fem.Faces)} faces") + +# --- the bear silhouette: the male's flat back face at Y = 0 +back = None +for f in male.Faces: + n = f.normalAt(0, 0) + if abs(f.CenterOfMass.y) < 1e-6 and abs(abs(n.y) - 1.0) < 1e-6: + if back is None or f.Area > back.Area: + back = f +if back is None: + print("FAIL: could not find the flat back face at Y=0"); sys.exit(1) +print(f"silhouette: back face area {back.Area:.1f} mm2, {len(back.Wires)} wires " + f"(outer + {len(back.Wires)-1} holes: eyes and mouth)") + +fb = fem.BoundBox +y0, y1 = fb.YMin - 5.0, fb.YMax + 5.0 + +def trimmed(offset): + """keep only the part of the female inside the silhouette grown by `offset`""" + wire = back.OuterWire + grown = wire.makeOffset2D(offset, join=2, fill=False, openResult=False, intersection=True) + face = Part.Face(Part.Wire(grown.Edges)) + prism = face.extrude(Vector(0, y1 - y0, 0)) + prism.translate(Vector(0, y0 - face.CenterOfMass.y, 0)) + return fem.common(prism) + +for tag, off, out in (("requested", REQUESTED, "BearConnector_Female_Trimmed.step"), + ("safe wall", SAFE_WALL, "BearConnector_Female_Trimmed_wall.step")): + r = trimmed(off) + if not r.Solids: + print(f"\n{tag} (+{off:.2f} mm): NOTHING LEFT"); continue + wall = off - CLEARANCE + # is there any material left at the level of the pocket's side wall? + sec = r.section(Part.makePlane(400, 400, Vector(-200, 1.5, -200), Vector(0, 1, 0))) + perim = sum(e.Length for e in sec.Edges) + print(f"\n{tag} (+{off:.2f} mm) wall = {wall:+.2f} mm") + print(f" volume {r.Volume/1000:.2f} cm3, {len(r.Solids)} solid(s), {len(r.Faces)} faces") + print(f" section through the pocket wall at Y=1.5: {perim:.1f} mm of edge") + if wall <= 0: + print(f" -> the trim cuts {abs(wall):.2f} mm INSIDE the pocket wall: no side wall remains") + doc = App.newDocument(tag.replace(" ", "_")) + o = doc.addObject("Part::Feature", "Female") + o.Shape = r; doc.recompute() + Part.export([o], os.path.join(HERE, out)) + print(f" wrote {out}") diff --git a/docs/design/mate-connectors/verify_trimmed.py b/docs/design/mate-connectors/verify_trimmed.py new file mode 100644 index 0000000000..81f6f3fea1 --- /dev/null +++ b/docs/design/mate-connectors/verify_trimmed.py @@ -0,0 +1,25 @@ +# Check both trimmed females still fit the male, and export STLs for a visual comparison. +# Run: /snap/bin/freecad.cmd verify_trimmed.py +import os +import Mesh, Part + +HERE = os.path.dirname(os.path.abspath(__file__)) +male = Part.Shape(); male.read(os.path.join(HERE, "bear.step")); male = male.Solids[0] + +for name in ("BearConnector_Female_Trimmed", "BearConnector_Female_Trimmed_wall"): + p = os.path.join(HERE, name + ".step") + s = Part.Shape(); s.read(p); s = s.Solids[0] + d = male.distToShape(s)[0] + c = male.common(s) + cv = c.Volume if c.Solids else 0.0 + bb = s.BoundBox + print(f"{name}") + print(f" {bb.XLength:.2f} x {bb.YLength:.2f} x {bb.ZLength:.2f} mm, {s.Volume/1000:.2f} cm3, " + f"{len(s.Faces)} faces, valid={s.isValid()}") + print(f" gap to male {d:.4f} mm, interference {cv:.6f} mm3") + m = Mesh.Mesh(); m.addFacets([tuple(t) for t in s.tessellate(0.12)[1]] and + [(s.tessellate(0.12)[0][a], s.tessellate(0.12)[0][b], + s.tessellate(0.12)[0][c2]) + for a, b, c2 in s.tessellate(0.12)[1]]) + m.write(os.path.join(HERE, name + ".stl")) + print(f" wrote {name}.stl ({m.CountFacets} facets)")

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OpenSCAD_Model diff --git a/docs/design/mate-connectors/female_only.scad b/docs/design/mate-connectors/female_only.scad new file mode 100644 index 0000000000..89f83b4655 --- /dev/null +++ b/docs/design/mate-connectors/female_only.scad @@ -0,0 +1,12 @@ +// Female half alone, for the legibility test: is a recessed faceted pocket readable in a +// shaded view, or does a concave feature just read as a dark hole with no orientation? +use + +// The plate must be THICKER than the key is tall, or the "pocket" is a through-hole. The +// first version used 3 mm against a 4.5 mm key and cut straight through — caught only by +// rendering it. Minimum stock = H + clearance + pocket depth + a wall to print against. +PLATE = [30, 18, 8]; +difference() { + translate([-PLATE[0]/2, -PLATE[1]/2, -PLATE[2]]) cube(PLATE); + ridge_key_female(); +} diff --git a/docs/design/mate-connectors/fit_check.py b/docs/design/mate-connectors/fit_check.py new file mode 100644 index 0000000000..5a9ee01063 --- /dev/null +++ b/docs/design/mate-connectors/fit_check.py @@ -0,0 +1,20 @@ +# Measure the assembled fit between the supplied male and the generated female. +# This is the number that matters: the minimum gap in the seated position. +# Run: /snap/bin/freecad.cmd fit_check.py +import os +import Part + +HERE = os.path.dirname(os.path.abspath(__file__)) +male = Part.Shape(); male.read(os.path.join(HERE, "bear.step")) +fem = Part.Shape(); fem.read(os.path.join(HERE, "BearConnector_Female.step")) +male, fem = male.Solids[0], fem.Solids[0] + +d = male.distToShape(fem) +print(f"RESULT minimum gap male<->female, seated: {d[0]:.4f} mm (design clearance 0.20)") + +c = male.common(fem) +print(f"RESULT interference volume: {(c.Volume if c.Solids else 0.0):.6f} mm3") + +p = d[1][0][0] +print(f"RESULT tightest point on the male: ({p.x:.2f}, {p.y:.2f}, {p.z:.2f})") +print(f"RESULT male {male.Volume/1000:.2f} cm3 / female {fem.Volume/1000:.2f} cm3") diff --git a/docs/design/mate-connectors/glyph_probe.py b/docs/design/mate-connectors/glyph_probe.py new file mode 100644 index 0000000000..f4d48fdd6c --- /dev/null +++ b/docs/design/mate-connectors/glyph_probe.py @@ -0,0 +1,143 @@ +# Mate-connector glyph probe — built as REAL solids on REAL mechanical geometry, +# so the shape can be judged in a 3D viewport instead of in a browser mock. +# +# Four polarity treatments, side by side on one bracket: +# A Onshape baseline ...... ring + roll quadrant + three short axis arms +# B solid cone ............ ring + quadrant + one-sided Z arrow, filled head (driven) +# C hollow collar ......... ring + quadrant + one-sided Z arrow, shell head (fixed) +# D pin / cup ............. polarity by RELIEF: a raised pin vs a sunk cup +# +# D is the one that only a 3D test can settle: in a shaded viewport, solid-vs-hollow is a +# weak cue that depends on angle and lighting, while convex-vs-concave is a strong one -- +# and male/female is the mechanical language for polarity anyway. +# +# Scale note: in the real viewport gizmos are screen-constant (~15-40 px via upp = 1/zoom). +# At a zoom where a 60 mm part fills ~600 px, 40 px is about 4 mm, so R = 4.5 mm here. + +import FreeCAD as App +import FreeCADGui as Gui +import Part +from FreeCAD import Vector + +DOC = "GlyphProbe" +for d in list(App.listDocuments()): + App.closeDocument(d) +doc = App.newDocument(DOC) + +R = 4.5 # disc radius, the module everything scales from +GOLD = (0.93, 0.66, 0.09) +BLUE = (0.18, 0.44, 0.93) +GREY = (0.42, 0.46, 0.52) +RED = (0.85, 0.29, 0.24) +GREEN = (0.23, 0.65, 0.35) + +def add(name, shape, color, transparency=0): + o = doc.addObject("Part::Feature", name) + o.Shape = shape + o.ViewObject.ShapeColor = color + o.ViewObject.LineColor = color + o.ViewObject.PointColor = color + o.ViewObject.Transparency = transparency + return o + +def frame(origin, zdir, xdir): + """Right-handed placement matrix from origin + Z + X (X orthonormalised against Z).""" + z = Vector(*zdir); z.normalize() + xr = Vector(*xdir) + x = xr.sub(Vector(z).multiply(z.dot(xr))); x.normalize() + y = z.cross(x) + return App.Matrix(x.x, y.x, z.x, origin[0], + x.y, y.y, z.y, origin[1], + x.z, y.z, z.z, origin[2], + 0, 0, 0, 1) + +# ---------------------------------------------------------------- the bracket +plate = Part.makeBox(120, 46, 8) +bore = Part.makeCylinder(7, 40, Vector(96, 23, -6)) # a real bore, curved face +boss = Part.makeCylinder(11, 7, Vector(96, 23, 8)) +part = plate.fuse(boss).cut(bore) +add("Bracket", part, (0.60, 0.63, 0.66)) + +# ---------------------------------------------------------------- glyph pieces +def ring(t=None): + t = t or R * 0.10 + return Part.makeCylinder(R, t).cut(Part.makeCylinder(R * 0.84, t)) + +def quadrant(t=None): + t = t or R * 0.10 + return Part.makeCylinder(R * 0.84, t, Vector(0, 0, 0), Vector(0, 0, 1), 90) + +def stem(L=None, r=None): + return Part.makeCylinder(r or R * 0.09, L or R * 2.3) + +def solid_head(): + return Part.makeCone(R * 0.32, 0, R * 0.80, Vector(0, 0, R * 2.3)) + +def shell_head(): + outer = Part.makeCone(R * 0.32, 0, R * 0.80, Vector(0, 0, R * 2.3)) + inner = Part.makeCone(R * 0.22, 0, R * 0.62, Vector(0, 0, R * 2.3)) + return outer.cut(inner) + +def short_axis(direction, L=None): + L = L or R * 1.15 + return Part.makeCylinder(R * 0.07, L, Vector(0, 0, 0), Vector(*direction)) + +def place(shape, m): + s = shape.copy() + s.transformShape(m) + return s + +# ---------------------------------------------------------------- the variants +def variant_A(tag, origin): # Onshape baseline + m = frame(origin, (0, 0, 1), (1, 0, 0)) + add(tag + "_ring", place(ring(), m), GREY) + add(tag + "_quad", place(quadrant(), m), GOLD) + add(tag + "_x", place(short_axis((1, 0, 0)), m), RED) + add(tag + "_y", place(short_axis((0, 1, 0)), m), GREEN) + add(tag + "_z", place(short_axis((0, 0, 1), R * 1.6), m), BLUE) + +def variant_B(tag, origin, zdir=(0, 0, 1)): # solid cone = driven + m = frame(origin, zdir, (1, 0, 0)) + add(tag + "_ring", place(ring(), m), BLUE) + add(tag + "_quad", place(quadrant(), m), GOLD) + add(tag + "_body", place(stem().fuse(solid_head()), m), BLUE) + +def variant_C(tag, origin, zdir=(0, 0, 1)): # hollow collar = fixed + m = frame(origin, zdir, (1, 0, 0)) + add(tag + "_ring", place(ring(), m), GREY) + add(tag + "_quad", place(quadrant(), m), GOLD) + add(tag + "_body", place(stem().fuse(shell_head()), m), GREY) + +def variant_D_pin(tag, origin, zdir=(0, 0, 1)): # polarity by relief: raised PIN + m = frame(origin, zdir, (1, 0, 0)) + pin = Part.makeCylinder(R * 0.30, R * 1.5).fuse( + Part.makeCone(R * 0.30, 0, R * 0.55, Vector(0, 0, R * 1.5))) + add(tag + "_ring", place(ring(), m), BLUE) + add(tag + "_quad", place(quadrant(), m), GOLD) + add(tag + "_pin", place(pin, m), BLUE) + +def variant_D_cup(tag, origin, zdir=(0, 0, 1)): # polarity by relief: sunk CUP + m = frame(origin, zdir, (1, 0, 0)) + cup = Part.makeCylinder(R * 0.62, R * 0.9).cut( + Part.makeCylinder(R * 0.40, R * 0.9, Vector(0, 0, -0.01))) + add(tag + "_ring", place(ring(), m), GREY) + add(tag + "_quad", place(quadrant(), m), GOLD) + add(tag + "_cup", place(cup, m), GREY) + +# four treatments across the plate, all on the same flat face, same Z +variant_A("A", (14, 30, 8)) +variant_B("B", (40, 30, 8)) +variant_C("C", (64, 30, 8)) +variant_D_pin("Dpin", (14, 10, 8)) +variant_D_cup("Dcup", (40, 10, 8)) + +# the hard cases, which is the whole reason for doing this in 3D: +variant_B("Bore", (96, 23, 15)) # on the boss above a bore +variant_B("Edge", (64, 0, 8), (0, -0.7071, 0.7071)) # tilted, on an edge, oblique Z + +doc.recompute() + +v = Gui.activeDocument().activeView() 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Roll and verse are safe; handedness is not. + +THE MEASURE IS THE QUESTION ITSELF. Render the glyph, render its mirror image, and count how many +pixels differ. If a human is to tell left from right, the two must differ on screen; a candidate +that scores near zero is invisible however elegant it looks in CAD. Reported as a percentage of the +glyph's own lit area, so the sizes are comparable. +""" +import json, math, os +from PIL import Image, ImageDraw, ImageChops + +HERE = os.path.dirname(os.path.abspath(__file__)) +D = json.load(open(os.path.join(HERE, "bear_outline.json"))) +def unit(pts): + p = [(x, -z) for x, z in pts] + return p +outer = unit(D["outer"]); holes = [unit(h["pts"]) for h in D["holes"]] +ALL = outer + [p for h in holes for p in h] +xs=[p[0] for p in ALL]; ys=[p[1] for p in ALL] +CX,CY = (min(xs)+max(xs))/2,(min(ys)+max(ys))/2 +SPAN = max(max(xs)-min(xs), max(ys)-min(ys)) +U = lambda pts: [((x-CX)/SPAN,(y-CY)/SPAN) for x,y in pts] +OUT = U(outer) +EYES = [U(h) for h,m in zip(holes, D["holes"]) if m["d"] < 20] +MUZ = U([h for h,m in zip(holes, D["holes"]) if m["d"] >= 20][0]) + +def rdp(pts, eps): + if len(pts) < 3: return pts + ax,ay=pts[0]; bx,by=pts[-1]; dx,dy=bx-ax,by-ay + n=math.hypot(dx,dy); best,bi=-1.0,0 + for i in range(1,len(pts)-1): + px,py=pts[i] + d=abs(dx*(ay-py)-(ax-px)*dy)/n if n>1e-12 else math.hypot(px-ax,py-ay) + if d>best: best,bi=d,i + if best<=eps: return [pts[0],pts[-1]] + return rdp(pts[:bi+1],eps)[:-1]+rdp(pts[bi:],eps) +def simp(pts,eps): + r=rdp(pts+[pts[0]],eps); return r[:-1] + +BASE = simp(OUT, .030) # the 22-vertex outline the study settled on +def centroid(p): return (sum(q[0] for q in p)/len(p), sum(q[1] for q in p)/len(p)) +def circ(cx,cy,r,n=16): return [(cx+r*math.cos(2*math.pi*i/n), cy+r*math.sin(2*math.pi*i/n)) for i in range(n)] +EYE_D = [] +for e in EYES: + c=centroid(e); r=(max(p[0] for p in e)-min(p[0] for p in e))/2 + EYE_D.append((c[0],c[1],r)) +EYE_D.sort() # [0] = left (x<0), [1] = right + +TOP = max(p[1] for p in BASE) +H = TOP - min(p[1] for p in BASE) +def ear_tip(sign): + cands=[p for p in BASE if p[1] > TOP-0.18*H and (p[0]*sign) > 0] + return max(cands, key=lambda p: p[0]*sign) if cands else None +LT, RT = ear_tip(-1), ear_tip(+1) + +def notch(tip, sign, k=0.085): + """A wedge bitten out of one ear — background-filled, exactly how the eyes are already drawn.""" + x,y = tip + return [(x, y+0.02), (x - sign*k, y - k*0.55), (x + sign*k*0.15, y - k*1.05)] + +CANDS = { + "H0 none": dict(cuts=[], eyes=EYE_D), + "H1 notch R ear": dict(cuts=[notch(RT, +1)], eyes=EYE_D), + "H2 notch both": dict(cuts=[notch(RT, +1), notch(LT, -1, 0.045)], eyes=EYE_D), + "H3 cheek dot": dict(cuts=[circ(EYE_D[1][0]+0.085, EYE_D[1][1]-0.10, 0.038)], eyes=EYE_D), + "H4 uneven eyes": dict(cuts=[], eyes=[EYE_D[0], (EYE_D[1][0], EYE_D[1][1], EYE_D[1][2]*1.55)]), +} + +def render(c, px, ss=8, mirror=False): + S=px*ss; img=Image.new("L",(S,S),0); d=ImageDraw.Draw(img) + m = lambda p: (S/2 + (-p[0] if mirror else p[0])*S*0.92, S/2 - p[1]*S*0.92) + d.polygon([m(p) for p in BASE], fill=255) + d.polygon([m(p) for p in MUZ], fill=0) + for cx,cy,r in c["eyes"]: + a=m((cx-r,cy+r)); b=m((cx+r,cy-r)) + d.ellipse([min(a[0],b[0]), min(a[1],b[1]), max(a[0],b[0]), max(a[1],b[1])], fill=0) + for cut in c["cuts"]: + d.polygon([m(p) for p in cut], fill=0) + return img.resize((px,px), Image.LANCZOS) + +SIZES=[22,32,48] +print(f"{'candidate':16} " + " ".join(f"{s}px" for s in SIZES) + " (pixels differing from own mirror, % of lit area)") +print("-"*84) +scores={} +for name,c in CANDS.items(): + row=[] + for px in SIZES: + a=render(c,px); b=render(c,px,mirror=True) + diff=ImageChops.difference(a,b) + nd=sum(1 for v in diff.getdata() if v>40) + lit=sum(1 for v in a.getdata() if v>40) or 1 + row.append(100.0*nd/lit) + scores[name]=row + print(f"{name:16} " + " ".join(f"{v:5.1f}" for v in row)) + +pad,cell=8,58 +W=pad+len(SIZES)*2*cell+pad; Hh=pad+len(CANDS)*cell+pad +sheet=Image.new("RGB",(W,Hh),(24,27,32)) +for r,(name,c) in enumerate(CANDS.items()): + for mi,mir in enumerate((False,True)): + for si,px in enumerate(SIZES): + g=render(c,px,mirror=mir) + tile=Image.new("RGB",(px,px),(24,27,32)) + tile.paste(Image.new("RGB",(px,px),(237,168,23)),(0,0),g) + x=pad+(mi*len(SIZES)+si)*cell+(cell-px)//2 + y=pad+r*cell+(cell-px)//2 + sheet.paste(tile,(x,y)) +sheet.resize((W*2,Hh*2), Image.NEAREST).save(os.path.join(HERE,"handedness-sheet.png")) +print("\nleft block = as drawn, right block = mirrored. rows: " + ", ".join(CANDS)) +print("WROTE handedness-sheet.png") diff --git a/docs/design/mate-connectors/linearedgemateconnectors.png b/docs/design/mate-connectors/linearedgemateconnectors.png new file mode 100644 index 0000000000000000000000000000000000000000..fd5e64190db6b9b824fe9d1e8a0d10e0eb10e892 GIT binary patch literal 20301 zcma%Cyic4{KcXyZKPJ!a?4u#_G1b266>C5lEf8c#ca`!{- z-I?7vGkfOTXjNqyG!#MJ!Wq8@+sj9WM{Pe!; zS?#bT>abM9n&;E^oGX$S%1;ZxS5?(?Nul~d1`|_E!B0C*fP;xM$$z|P!STaBM+)=P zWXDp#709&)o@kQ-iEaX9pmN=_0z`e*J#Q;uAIka%jY%OHbwWlSMEf}`3WyEk_1}=~ z|2M2b=^jfY-G9A5zN7r_HdaP+HvNorbU{ZqyDz(uq=j{LiBVCqKlM9M#uA8!T5MNt zUgjwO{C(cJtCotwAm3Y%sfKo3yE{BtvxItkAPsZu{Y&!i?Md*@atD#y==s3rJi?Pk z#lX}Q+V1YIPMZVqhfp9%B8f=a4)f;)VKxC(Lxi-8{6aB 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---------------------- +# Ray-cast a grid along +Y through the tessellated male and count crossings. A straight pull is +# possible only if no ray enters the solid more than once; a second entry is an undercut. +verts, facets = male.tessellate(0.15) +V = [(v.x, v.y, v.z) for v in verts] +worst, undercut_pts = 0, 0 +NX = NZ = 90 +for i in range(NX): + x = bb.XMin + (i + 0.5) * bb.XLength / NX + for j in range(NZ): + z = bb.ZMin + (j + 0.5) * bb.ZLength / NZ + hits = 0 + for (ia, ib, ic) in facets: # ray (x, *, z) along +Y vs triangle + ax, ay, az = V[ia]; bx, by, bz = V[ib]; cx, cy, cz = V[ic] + # 2D point-in-triangle in the XZ plane + d = (bz - cz) * (ax - cx) + (cx - bx) * (az - cz) + if abs(d) < 1e-12: continue + u = ((bz - cz) * (x - cx) + (cx - bx) * (z - cz)) / d + v = ((cz - az) * (x - cx) + (ax - cx) * (z - cz)) / d + if u < 0 or v < 0 or u + v > 1: continue + hits += 1 + worst = max(worst, hits) + if hits > 2: undercut_pts += 1 +print(f"pull : max crossings along +Y = {worst}, undercut samples = {undercut_pts}/{NX*NZ}") +if undercut_pts: + print("FAIL: the male has an undercut along +Y; a straight pocket cannot release it") + sys.exit(1) +print(" no undercut -> a straight-pull pocket works") + +# ---- 2. grow the male by the clearance ----------------------------------------------- +grown = None +for join, name in ((2, "Intersection"), (1, "Tangent"), (0, "Arc")): + try: + g = male.makeOffsetShape(CLEAR, 1e-6, False, False, 0, join, False) + if g.isValid() and g.Solids: + grown = g.Solids[0]; print(f"offset: join={name}, {grown.Volume/1000:.2f} cm3"); break + except Exception as e: + print(f"offset: join={name} failed -- {e}") +if grown is None: + print("FAIL: could not offset the male; refusing to emit a zero-clearance pocket"); sys.exit(1) + +# ---- 3. the block: walls in X and Z, depth in +Y, OPEN at the Y=0 mouth --------------- +gb = grown.BoundBox +y_mouth = bb.YMin # the male's flat back plane +depth = gb.YMax - y_mouth +block = Part.makeBox(gb.XLength + 2*WALL, depth + FLOOR, gb.ZLength + 2*WALL, + App.Vector(gb.XMin - WALL, y_mouth, gb.ZMin - WALL)) +print(f"block : {gb.XLength + 2*WALL:.2f} x {depth + FLOOR:.2f} x {gb.ZLength + 2*WALL:.2f} mm, " + f"mouth on the Y={y_mouth:.2f} plane") + +female = block.cut(grown) + +# ---- 4. verify -------------------------------------------------------------------------- +ok = True +if not female.isValid(): print("FAIL: invalid shape"); ok = False +if len(female.Solids) != 1: print(f"FAIL: {len(female.Solids)} solids"); ok = False + +clash = male.common(female) +cv = clash.Volume if clash.Solids else 0.0 +print(f"check : male ∩ female = {cv:.6f} mm3 (seated fit, must be ~0)") +if cv > 1e-3: print("FAIL: male collides with female"); ok = False + +# the mouth must actually be open: the pocket has to reach the Y=y_mouth face of the block +mouth_face_area = 0.0 +for f in female.Faces: + c = f.CenterOfMass + if abs(c.y - y_mouth) < 1e-6: + mouth_face_area += f.Area +solid_mouth = (gb.XLength + 2*WALL) * (gb.ZLength + 2*WALL) +open_area = solid_mouth - mouth_face_area +print(f"check : mouth plane -- material {mouth_face_area:.1f} mm2, opening {open_area:.1f} mm2 " + f"({100*open_area/solid_mouth:.1f}% of the face)") +if open_area < 100: + print("FAIL: the pocket is sealed -- the male cannot be inserted"); ok = False + +cavity = block.Volume - female.Volume +print(f"check : cavity {cavity/1000:.2f} cm3 vs male {male.Volume/1000:.2f} cm3 " + f"-> clearance shell {(cavity-male.Volume)/1000:.2f} cm3") +if cavity < male.Volume: print("FAIL: cavity smaller than the male"); ok = False + +if not ok: + print("\nREFUSING to write the STEP"); sys.exit(1) + +doc = App.newDocument("Female") +obj = doc.addObject("Part::Feature", "BearConnector_Female") +obj.Shape = female +doc.recompute() +Part.export([obj], OUT_STEP) +fb = female.BoundBox +print(f"\nwrote {OUT_STEP}") +print(f"female: {fb.XLength:.2f} x {fb.YLength:.2f} x {fb.ZLength:.2f} mm, " + f"{len(female.Faces)} faces, {female.Volume/1000:.2f} cm3") diff --git a/docs/design/mate-connectors/mate-connector-virtual-sharp.png 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z?qIy=ctU+}STUg4+GY2;q`;wkWJ|X zNfrC^I|pIzpY4ahT1vh#xNA9h1^5bJap(WIXZ~Njb0O2|pH3E`e@|e!BY*zL|Nqv9 h>;LOD7^_^qQ=U!l9tGfcUg5!W%fRG%@l~fM{{>HlmO}sl literal 0 HcmV?d00001 diff --git a/docs/design/mate-connectors/relief_sheet.py b/docs/design/mate-connectors/relief_sheet.py new file mode 100644 index 0000000000..c7e204129c --- /dev/null +++ b/docs/design/mate-connectors/relief_sheet.py @@ -0,0 +1,99 @@ +"""Flat glyph vs 3D relief, at the elevations that killed the disc — snaporca-wi3z. + +The flat study collapsed at 16 deg because anything drawn IN the connector's plane foreshortens by +sin(elevation). This renders the SAME bear as its real relief (1508 facets off the supplied male) +with a simple lambert shade, so the silhouette does the work at a grazing angle. Two rows, same +sizes, same elevations, so the comparison is direct. +""" +import json, math, os +from PIL import Image, ImageDraw + +HERE = os.path.dirname(os.path.abspath(__file__)) +M = json.load(open(os.path.join(HERE, "bear_mesh.json"))) +V, F = M["v"], M["f"] + +# Part frame: face carried by X (right) and Z (down-negative), relief along +Y. +P = [(v[0], -v[2], v[1]) for v in V] # -> (x right, y up, z out of the face) +xs=[p[0] for p in P]; ys=[p[1] for p in P]; zs=[p[2] for p in P] +CX,CY,CZ = (min(xs)+max(xs))/2, (min(ys)+max(ys))/2, (min(zs)+max(zs))/2 +SPAN = max(max(xs)-min(xs), max(ys)-min(ys)) +P = [((x-CX)/SPAN, (y-CY)/SPAN, (z-CZ)/SPAN) for x,y,z in P] + +def shade(px, elev_deg, supersample=8): + """Camera orbits down from straight-on (90) to grazing (small). Rotate about the screen x-axis.""" + S = px*supersample + a = math.radians(elev_deg) + ca, sa = math.cos(a), math.sin(a) + # view: rotate the model so the face normal tips away from the camera + def xf(p): + x,y,z = p + return (x, y*sa + z*ca, -y*ca + z*sa) # third component = depth toward camera + Q = [xf(p) for p in P] + img = Image.new("L", (S,S), 0) + d = ImageDraw.Draw(img) + order = [] + for tri in F: + a3 = [Q[i] for i in tri] + order.append((sum(v[2] for v in a3)/3.0, tri, a3)) + order.sort(key=lambda t: t[0]) # painter: far first + light = (-0.35, 0.55, 0.76) + for _, tri, a3 in order: + (x0,y0,z0),(x1,y1,z1),(x2,y2,z2) = a3 + ux,uy,uz = x1-x0, y1-y0, z1-z0 + vx,vy,vz = x2-x0, y2-y0, z2-z0 + nx,ny,nz = uy*vz-uz*vy, uz*vx-ux*vz, ux*vy-uy*vx + n = math.sqrt(nx*nx+ny*ny+nz*nz) or 1.0 + nx,ny,nz = nx/n, ny/n, nz/n + if nz < 0: nx,ny,nz = -nx,-ny,-nz # face the camera + lam = max(0.0, nx*light[0] + ny*light[1] + nz*light[2]) + val = int(70 + 185*lam) + pts = [(S/2 + x*S*0.92, S/2 - y*S*0.92) for x,y,_ in a3] + d.polygon(pts, fill=val) + return img.resize((px,px), Image.LANCZOS) + +# flat outline, for the side-by-side +D = json.load(open(os.path.join(HERE, "bear_outline.json"))) +def unit(pts): + p=[(x,-z) for x,z in pts] + return [((x-CX)/SPAN,(y-CY)/SPAN) for x,y in p] +OUT = unit(D["outer"]) +HOLES = [unit(h["pts"]) for h in D["holes"]] + +def flat(px, elev_deg, supersample=8): + S=px*supersample + img=Image.new("L",(S,S),0); d=ImageDraw.Draw(img) + k=math.sin(math.radians(elev_deg)) + m=lambda p:(S/2+p[0]*S*0.92, S/2-p[1]*S*0.92*k) + d.polygon([m(p) for p in OUT], fill=255) + for h in HOLES: d.polygon([m(p) for p in h], fill=0) + return img.resize((px,px), Image.LANCZOS) + +SIZES=[22,32,48]; ELEVS=[(90,"flat on"),(47,"47"),(16,"16"),(6,"6")] +pad,cell=8,58 +W=pad+len(SIZES)*len(ELEVS)*cell+pad; H=pad+2*cell+pad +sheet=Image.new("RGB",(W,H),(24,27,32)) +for r,fn in enumerate((flat, shade)): + for ci,(elev,_) in enumerate(ELEVS): + for si,px in enumerate(SIZES): + g=fn(px,elev) + tile=Image.new("RGB",(px,px),(24,27,32)) + if fn is flat: + tile.paste(Image.new("RGB",(px,px),(237,168,23)),(0,0),g) + else: + gg=g.convert("L") + tile=Image.merge("RGB",(gg.point(lambda v:min(255,int(v*1.00))), + gg.point(lambda v:int(v*0.71)), + gg.point(lambda v:int(v*0.16)))) + x=pad+(ci*len(SIZES)+si)*cell+(cell-px)//2 + y=pad+r*cell+(cell-px)//2 + sheet.paste(tile,(x,y)) +sheet.resize((W*2,H*2), Image.NEAREST).save(os.path.join(HERE,"relief-sheet.png")) + +# how much ink survives — the same measure used on the disc glyph +print(f"{'elev':>6} {'flat px@32':>11} {'relief px@32':>13}") +for elev,_ in ELEVS: + f32=flat(32,elev); s32=shade(32,elev) + fi=sum(1 for v in f32.getdata() if v>40) + si=sum(1 for v in s32.getdata() if v>40) + print(f"{elev:>6} {fi:>11} {si:>13}") +print("WROTE relief-sheet.png") diff --git a/docs/design/mate-connectors/relief_test.py b/docs/design/mate-connectors/relief_test.py new file mode 100644 index 0000000000..3fb83b2a8e --- /dev/null +++ b/docs/design/mate-connectors/relief_test.py @@ -0,0 +1,9 @@ +# Export the real male's relief as a triangle mesh, so the grazing test uses the actual geometry. +import os, json +import Part +HERE = os.path.dirname(os.path.abspath(__file__)) +s = Part.Shape(); s.read(os.path.join(HERE, "bear.step")) +verts, facets = s.Solids[0].tessellate(0.25) +V = [[round(p.x,4), round(p.y,4), round(p.z,4)] for p in verts] +json.dump({"v": V, "f": facets}, open(os.path.join(HERE, "bear_mesh.json"), "w")) +print(f"verts {len(V)} facets {len(facets)}") diff --git a/docs/design/mate-connectors/render_key.py b/docs/design/mate-connectors/render_key.py new file mode 100644 index 0000000000..eb4bcdbd99 --- /dev/null +++ b/docs/design/mate-connectors/render_key.py @@ -0,0 +1,85 @@ +#!/usr/bin/env python3 +"""Flat-shade the faceted ridge key from several camera directions. + +The point is not a pretty picture. It is one question: does a low-poly solid, flat-shaded, +let a human read its orientation from an arbitrary viewpoint -- and specifically, is the +view ALONG the ridge ambiguous between front and back, as the geometry suggests it must be +in silhouette? + +Flat shading (one normal per facet, no smoothing) is deliberate: it is what the concept +claims to rely on, and it is what a CAD viewport with hard normals actually produces. +""" +import numpy as np +from PIL import Image, ImageDraw + +# ---- the key, same numbers as faceted_ridge_key.scad +L, W, tf, H, pr, pf, hf = 12.0, 4.0, 0.45, 4.5, 0.22, 0.62, 0.35 +Wf, xr0, xr1, Hf = W * tf, -L / 2 + L * pr, -L / 2 + L * pf, H * hf + +V = np.array([(-L/2, -W, 0), (-L/2, W, 0), (L/2, Wf, 0), (L/2, -Wf, 0), + (xr0, 0, H), (xr1, 0, Hf)], dtype=float) +F = [[0, 1, 2, 3], [0, 4, 1], [0, 3, 5], [0, 5, 4], [1, 4, 5], [1, 5, 2], [3, 2, 5]] + +LIGHT = np.array([0.35, -0.5, 0.78]) # a headlight-ish key light +LIGHT /= np.linalg.norm(LIGHT) + + +def look_at(eye, target, up=(0, 0, 1)): + f = np.array(target, float) - np.array(eye, float) + f /= np.linalg.norm(f) + up = np.array(up, float) + if abs(np.dot(f, up)) > 0.999: + up = np.array([0, 1, 0], float) + r = np.cross(f, up); r /= np.linalg.norm(r) + u = np.cross(r, f) + return r, u, f + + +def render(eye, target, path, size=(620, 460), scale=26.0, label=""): + r, u, f = look_at(eye, target) + eye = np.array(eye, float) + cam = np.stack([r, u, f]) # world -> camera rows + P = (V - eye) @ cam.T # orthographic: x,y screen, z depth + + w, h = size + img = Image.new("RGB", size, (238, 240, 243)) + d = ImageDraw.Draw(img) + + def to_px(p): + return (w / 2 + p[0] * scale, h / 2 - p[1] * scale) + + faces = [] + for face in F: + pts = V[face] + n = np.cross(pts[1] - pts[0], pts[2] - pts[0]) + n /= np.linalg.norm(n) + centre = pts.mean(axis=0) + if np.dot(n, centre - eye) > 0: # back-face cull + continue + depth = P[face][:, 2].mean() + lam = max(0.0, float(np.dot(n, LIGHT))) + shade = 0.22 + 0.78 * lam # flat: ONE value for the whole facet + col = tuple(int(255 * shade * c) for c in (0.86, 0.72, 0.35)) + faces.append((depth, [to_px(P[i]) for i in face], col)) + + for _, poly, col in sorted(faces, key=lambda t: -t[0]): # painter's algorithm + d.polygon(poly, fill=col) + + if label: + d.rectangle([8, 8, 8 + 9 * len(label), 30], fill=(255, 255, 255)) + d.text((14, 14), label, fill=(20, 20, 20)) + img.save(path) + return path + + +if __name__ == "__main__": + t = (0, 0, H * 0.35) + views = [ + ((26, -22, 20), "iso: the reference view"), + ((30, 0, 6), "ALONG +X (from the FRONT, low end)"), + ((-30, 0, 6), "ALONG -X (from the BACK, tall end)"), + ((0, 0, 34), "ALONG +Z (straight down the mating axis)"), + ((2, -32, 5), "ALONG -Y (broadside, grazing)"), + ] + for i, (eye, lab) in enumerate(views): + print(render(eye, t, f"rk-{i}.png", label=lab)) diff --git a/docs/design/mate-connectors/render_stl.py b/docs/design/mate-connectors/render_stl.py new file mode 100644 index 0000000000..16ad0e92a9 --- /dev/null +++ b/docs/design/mate-connectors/render_stl.py @@ -0,0 +1,76 @@ +#!/usr/bin/env python3 +"""Flat-shade an ASCII/binary STL from several directions. + +Used to answer one question with a picture instead of an argument: does a RECESSED faceted +pocket read as an oriented feature, or does a concave feature collapse into a dark hole? +""" +import struct +import sys +import numpy as np +from PIL import Image, ImageDraw + +LIGHT = np.array([0.35, -0.5, 0.78]); LIGHT /= np.linalg.norm(LIGHT) + + +def load_stl(path): + data = open(path, "rb").read() + if data[:5] == b"solid" and b"facet" in data[:2000]: + tris, cur = [], [] + for line in data.decode("ascii", "ignore").splitlines(): + s = line.split() + if s and s[0] == "vertex": + cur.append([float(x) for x in s[1:4]]) + if len(cur) == 3: + tris.append(cur); cur = [] + return np.array(tris, dtype=float) + n = struct.unpack(" 0.999: up = np.array([0, 1.0, 0]) + r = np.cross(f, up); r /= np.linalg.norm(r) + u = np.cross(r, f) + cam = np.stack([r, u, f]) + + w, h = size + img = Image.new("RGB", size, (238, 240, 243)); d = ImageDraw.Draw(img) + faces = [] + for t in tris: + n = np.cross(t[1] - t[0], t[2] - t[0]) + ln = np.linalg.norm(n) + if ln < 1e-12: continue + n /= ln + c = t.mean(axis=0) + if np.dot(n, c - eye) > 0: continue # cull back faces + P = (t - eye) @ cam.T + lam = max(0.0, float(np.dot(n, LIGHT))) + shade = 0.20 + 0.80 * lam + col = tuple(int(255 * shade * ch) for ch in (0.86, 0.72, 0.35)) + poly = [(w / 2 + p[0] * scale, h / 2 - p[1] * scale) for p in P] + faces.append((P[:, 2].mean(), poly, col)) + for _, poly, col in sorted(faces, key=lambda x: -x[0]): + d.polygon(poly, fill=col) + if label: + d.rectangle([8, 8, 8 + 9 * len(label), 30], fill=(255, 255, 255)) + d.text((14, 14), label, fill=(20, 20, 20)) + img.save(path) + + +if __name__ == "__main__": + tris = load_stl(sys.argv[1]) + print("triangles:", len(tris)) + views = [((26, -22, 20), "iso"), ((0, 0, 34), "straight 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