test: reference cases for variable, chord-length and tapered fillets (#776)

Four analytic reference cases for variable, to-zero, chord-length and taper-to-fit fillets, with the formulas in tools/oracle-analytic.
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Irakli Kourtis authored and GitHub committed 2026-10-13 12:35:16 -04:00
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{
"source": "analytic",
"method": "box 40x30x20 with its top front edge (y=0, z=20) rounded at a radius running straight from 2 (x=0) to 5 (x=40): sections are quarter rounds, V = abc - (1 - pi/4) L (a^2 + ab + b^2) / 3; moments and the round's area integrated along the edge (tools/oracle-analytic/cases_fillets.py)",
"body_count": 1,
"volume_mm3": 23888.407044966672,
"area_mm2": 5133.743774393379,
"center_of_mass": [
19.974846161095797,
15.065997951540359,
9.957359184584975
],
"bbox": {
"min": [
0.0,
0.0,
0.0
],
"max": [
40.0,
30.0,
20.0
]
},
"faces": 7
}