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Externally tangent cylinder pair A · A3 · a3-tangent-cylinders-01
tangent · cylinder · advanced · geometric-reasoning
Expected
Prompt
Make a single solid consisting of two cylinders fused together. Big cylinder: outside diameter 50mm, axis along Z, base on the XY plane (z = 0 to z = 40), centered on the Z axis. Small cylinder: outside diameter 10mm, axis along Z, base on the XY plane (z = 0 to z = 40), positioned so that its outer surface is externally tangent to the big cylinder's outer surface on the +X side. The two cylinders share exactly one tangent line (no overlap, no gap). Output a single solid (the union of the two cylinders).
Checks
0
valid_solid{
"type": "valid_solid"
}1
bbox{
"type": "bbox",
"min": [
-25,
-25,
0
],
"max": [
35,
25,
40
],
"tolerance_mm": 0.2
}2
mass_props{
"type": "mass_props",
"volume_mm3": 81681.41,
"tolerance_pct": 1
}3
step_roundtrip{
"type": "step_roundtrip",
"tolerance_pct": 1
}Anti-cheese
{
"max_solid_count": 1
}
Limits
{
"max_tokens": 30000,
"max_wallclock_sec": 180,
"max_tool_calls": 30
}