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Brennen Herbruck
739524a173
Ruled lofts of zig-zag outlines worked out with the prismatoid formula, rotated rectangle sections turning through half a turn (Pappus), ring sections with round and rectangular holes, a cone loft meeting a cylinder wall near its top, a loft standing on a box face, a loft cut limited by targets, and a refusal for sections in one plane. Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
12 lines
630 B
JSON
12 lines
630 B
JSON
{
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"sources": [
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"tangency-labs/solidcraft#2435",
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"tangency-labs/solidcraft#2447"
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],
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"what": "a loft between two rectangular ring sections (a rectangle with a rectangular hole), 24 mm apart, tapering outer 40 x 30 to 28 x 20 and hole 20 x 14 to 12 x 6",
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"source": "analytic",
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"method": "outer and hole are ruled frustums of rectangles; the section area is quadratic in height so V = h/6 (A0 + 4 Am + A1) is exact for each: outer 24/6 (1200 + 4 34 25 + 560) = 20640, hole 24/6 (280 + 4 16 10 + 72) = 3968, V = 16672. Faces: 4 outer walls, 4 hole walls, 2 caps = 10.",
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"body_count": 1,
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"volume_mm3": 16672.0,
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"faces": 10
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} |