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Kernel rig: 3604 G2 swept-tool cut graded on a volume range (filleted box minus the swept corner section)

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Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
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jyviko
2026-10-31 08:44:09 -04:00
committed by jyviko
parent 9aa2651b17
commit 391fc51b4e
1 changed files with 19 additions and 3 deletions
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tests/kernel-cases/booleans/3604-cut-with-g2-swept-tool-along-projected-edge/expected.json
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@@ -4,7 +4,23 @@
"tangency-labs/solidcraft#3613"
],
"what": "cut of a box by a swept G2 corner-removal tool along a projected edge chain (left-rear corner; the symmetric front-left chain works)",
"source": "invariants",
"method": "no closed form for the free-form tool: the tool lies on the box's bottom edge and overlaps it, so the cut must succeed with one valid closed solid (the tool is consumed). No volume is graded",
"body_count": 1
"source": "analytic",
"method": "fillet: the documented curvature section, the quintic Bezier on setback s = 5 (controls p+s t1, p+2s/3 t1, p+s/3 t1, p+s/3 t2, p+2s/3 t2, p+s t2), cuts 113/21 * 25/36 = 3.73677 mm^2 off each vertical edge (Green on the Bezier): Vf = 8000 - 4*10*3.73677 = 7850.529. Tool section: the G2 blend between two lines is the degree 5 Hermite Bezier of the lines' own derivatives, controls (0.8,0) (0.8,0.04) (0.8,0.08) (0.08,0.8) (0.04,0.8) (0,0.8); the part of the profile in the material quadrant has area a = 0.360667 and first moment about the wall S = 0.102152. Swept along the corner curve (length 8.21299, total turn pi/2, curvature at most 0.269, so 1 - k*0.8 > 0 and the tube does not fold), it removes a*L - S*pi/2 = 2.8015; along l3, a straight bottom edge next to that corner (10 long on the left, 30 on the rear: the chain's naming fixes which, analysis does not), a*10 = 3.6067 or a*30 = 10.820. V lies between 7850.529 - 13.622 = 7836.907 and 7850.529 - 6.408 = 7844.121, widened by 1e-4 relative for the measurement: a cut that did nothing (7850.53) or a fillet not made falls outside. Box: the 40 x 20 x 10 box's (the fillets and the cut leave every extreme face)",
"body_count": 1,
"volume_mm3": [
7836.1,
7844.9
],
"bbox": {
"min": [
0.0,
0.0,
0.0
],
"max": [
40.0,
20.0,
10.0
]
}
}