BOOL-003 · Boolean Robustness · difficulty 4/5

Coplanar-face union (knife-edge stress)

sha256:9a1b21d83fc04421…

§1Prompt verbatim

Two 20 × 20 × 20 mm cubes placed so their +X / −X faces are exactly coplanar. Union them and fillet the shared edge at R 1 mm. The result must be a single watertight body.

§2Ground-truth spec

shells1

V−E+F2

genus0

watertighttrue

manifoldtrue

acceptance ε±0.05 mm

Stresses ε-tolerance handling — many kernels emit a sliver face here.

§3Reference render

canonical reference · drag to orbit, scroll to zoom

Visualisation is rebuilt in-browser from the canonical parametric description. Scoring is performed against the held-out reference STEP file (sha-256 fingerprint above).

§4Per-agent renders

reference + 10 agent outputs · scored against the held-out STEP

vol IoU · BREP · manifold

canonical reference

REFERENCE

canonical · ground truth

1.000100✓

Human Baseline (Mech-E)

OpenAI + CadQuery 2.4

0.6178✗

Gemini 2.5 Pro → OpenSCAD

Google + OpenSCAD 2024.06

0.6140✗

Claude Opus 4.7 → CadQuery

Anthropic + CadQuery 2.4

Claude Opus 4.7 → OpenSCAD

Anthropic + OpenSCAD 2024.06

0.5430✗

DeepCAD

Wu et al. 2021 (research)

Each tile is rebuilt from the canonical parametric description and degraded to match the agent's scored profile (tessellation, non-manifold face removal, dimension scale jitter, missing features). Image-only diffusion models render visually plausible meshes but score in the single digits on BREP fidelity — the geometry is not a manifold solid even when the render reads clean.

§5Per-agent metrics

ranked by Vol IoU · same data as the leaderboard, restricted to this task

Agent	Vol IoU	Watert.	Manif.	Euler-Poincaré Compliance	P@1	p50	latency	cost
Human Baseline (Mech-E)	0.823	✓	0.970	✓	1.000	—	834.9s	$6.512
Adam (CADcrush)	0.666	✓	0.949	✓	0.000	—	11.6s	$0.302
GPT-5 → CadQuery	0.617	✓	0.942	✓	0.000	—	44.2s	$0.190
Gemini 2.5 Pro → OpenSCAD	0.614	✓	0.947	✓	0.000	—	23.6s	$0.083
Claude Opus 4.7 → CadQuery	0.592	✓	0.944	✓	0.000	—	48.9s	$0.303
Zoo Text-to-CAD	0.585	✓	0.937	✓	0.000	—	5.9s	$0.183
Claude Opus 4.7 → OpenSCAD	0.543	✓	0.933	✓	0.000	—	32.0s	$0.370
DeepCAD	0.368	×	0.902	×	0.000	—	5.8s	$0.021
Trellis 3D	0.049	×	0.858	×	0.000	—	14.9s	$0.059
Spline AI	0.044	×	0.856	×	0.000	—	9.6s	$0.047