Two perpendicular cylinders fused into a cross A · A3 · a3-cross-shaft-01

Expected

Prompt

Make a single solid that is the union of two cylinders intersecting at right angles. Vertical cylinder: outside diameter 20mm, length 40mm, axis along Z, base on the XY plane (z = 0 to z = 40), centered on the Z axis. Horizontal cylinder: outside diameter 20mm, length 40mm, axis along the X axis, centered at (0, 0, 20) (so it passes through the middle of the vertical cylinder). The two cylinders are merged into one solid (their intersection region counts only once).

Checks

{
  "type": "valid_solid"
}

{
  "type": "bbox",
  "min": [
    -20,
    -10,
    0
  ],
  "max": [
    20,
    10,
    40
  ],
  "tolerance_mm": 0.2
}

{
  "type": "mass_props",
  "volume_mm3": 19799.41,
  "tolerance_pct": 1.5
}

{
  "type": "step_roundtrip",
  "tolerance_pct": 1.5
}

Anti-cheese

{
  "max_solid_count": 1
}

Limits

{
  "max_tokens": 40000,
  "max_wallclock_sec": 240,
  "max_tool_calls": 40
}

Recent attempts

Runs (36)

generated 2026-06-17T03:16:07.223Z · static site, regenerate with npm run build -w @mecheval/leaderboard