← mecheval / run / a3-three-tangent-cylinders-01 / claude-mcp-claude-opus-4-7 / 20260611T220925Z-d920

run 20260611T220925Z-d920

a3-three-tangent-cylinders-01 · claude-mcp-claude-opus-4-7

Summary

statusfail
score0.75 (3/4)
submissionself-run
modelclaude-mcp-claude-opus-4-7 (anthropic)
started2026-06-11T22:09:25.373Z
ended2026-06-11T22:11:10.068Z
tokens413,944 in · 6,460 out · 420,404 total
wallclock104.7s
tool calls39
task hash4bf52e7ac1c38ed5…
vcad hash5242a424b6f63f54…

Prompt

Make a single solid that is the union of three identical cylinders arranged so they are all mutually externally tangent (each cylinder touches each of the other two at exactly one tangent line). Each cylinder has outside diameter 20mm, length 30mm, axis along Z, base on the XY plane (z = 0 to z = 30). Place the three cylinder axes at the vertices of an equilateral triangle in the XY plane such that adjacent axes are exactly 20mm apart (so the cylinders are externally tangent — outer surfaces touch but do not overlap). Center the arrangement on the Z axis (the centroid of the three axes is at (0, 0)), with one cylinder axis on the +Y side directly above the centroid. Output a single solid.

Checks

0
valid_solid
pass
params + details
params: {
  "type": "valid_solid"
}

details: {
  "root_count": 8,
  "solids_produced": 8
}
1
bbox
pass
params + details
params: {
  "type": "bbox",
  "min": [
    -20,
    -15.77,
    0
  ],
  "max": [
    20,
    21.55,
    30
  ],
  "tolerance_mm": 0.3
}

details: {
  "actual_max": [
    20,
    21.54700469970703,
    30
  ],
  "actual_min": [
    -20,
    -15.773502349853516,
    0
  ],
  "deviation_max": [
    0,
    -0.0029953002929694605,
    0
  ],
  "deviation_min": [
    0,
    -0.0035023498535160513,
    0
  ],
  "max_abs_deviation_mm": 0.0035023498535160513,
  "tolerance_mm": 0.3
}
2
mass_props
fail
volume off by 266.1%
params + details
params: {
  "type": "mass_props",
  "volume_mm3": 28274.33,
  "tolerance_pct": 1
}

details: {
  "volume": {
    "actual_mm3": 103506.09938988634,
    "deviation_pct": 266.0779915558966,
    "pass": false,
    "spec_mm3": 28274.33,
    "tolerance_pct": 1
  }
}
3
step_roundtrip
pass
params + details
params: {
  "type": "step_roundtrip",
  "tolerance_pct": 1
}

details: {
  "per_solid": [
    {
      "bbox": {
        "max_abs_deviation_mm": 0,
        "original_max": [
          10,
          10,
          30
        ],
        "original_min": [
          -10,
          -10,
          0
        ],
        "pass": true,
        "roundtripped_max": [
          10,
          10,
          30
        ],
        "roundtripped_min": [
          -10,
          -10,
          0
        ],
        "tolerance_mm": 0.41231056256176607
      },
      "index": 0,
      "pass": true,
      "volume": {
        "deviation_pct": 0.4815275502573938,
        "original_mm3": 9409.645504377506,
        "pass": true,
        "roundtripped_mm3": 9364.335468892372
      }
    },
    {
      "bbox": {
        "max_abs_deviation_mm": 0,
        "original_max": [
          10,
          10,
          30
        ],
        "original_min": [
          -10,
          -10,
          0
        ],
        "pass": true,
        "roundtripped_max": [
          10,
          10,
          30
        ],
        "roundtripped_min": [
          -10,
          -10,
          0
        ],
        "tolerance_mm": 0.41231056256176607
      },
      "index": 1,
      "pass": true,
      "volume": {
        "deviation_pct": 0.4815275502573938,
        "original_mm3": 9409.645504377506,
        "pass": true,
        "roundtripped_mm3": 9364.335468892372
      }
    },
    {
      "bbox": {
        "max_abs_deviation_mm": 0,
        "original_max": [
          10,
          10,
          30
        ],
        "original_min": [
          -10,
          -10,
          0
        ],
        "pass": true,
        "roundtripped_max": [
          10,
          10,
          30
        ],
        "roundtripped_min": [
          -10,
          -10,
          0
        ],
        "tolerance_mm": 0.41231056256176607
      },
      "index": 2,
      "pass": true,
      "volume": {
        "deviation_pct": 0.4815275502573938,
        "original_mm3": 9409.645504377506,
        "pass": true,
        "roundtripped_mm3": 9364.335468892372
      }
    },
    {
      "bbox": {
        "max_abs_deviation_mm": 0,
        "original_max": [
          10,
          21.54700469970703,
          30
        ],
        "original_min": [
          -10,
          1.5470054149627686,
          0
        ],
        "pass": true,
        "roundtripped_max": [
          10,
          21.54700469970703,
          30
        ],
        "roundtripped_min": [
          -10,
          1.5470054149627686,
          0
        ],
        "tolerance_mm": 0.4123105590922661
      },
      "index": 3,
      "pass": true,
      "volume": {
        "deviation_pct": 0.4815273266071484,
        "original_mm3": 9409.645426991387,
        "pass": true,
        "roundtripped_mm3": 9364.335412923583
      }
    },
    {
      "bbox": {
        "max_abs_deviation_mm": 0,
        "original_max": [
          0,
          4.226497173309326,
          30
        ],
        "original_min": [
          -20,
          -15.773502349853516,
          0
        ],
        "pass": true,
        "roundtripped_max": [
          0,
          4.226497173309326,
          30
        ],
        "roundtripped_min": [
          -20,
          -15.773502349853516,
          0
        ],
        "tolerance_mm": 0.4123105602487661
      },
      "index": 4,
      "pass": true,
      "volume": {
        "deviation_pct": 0.4815267673693186,
        "original_mm3": 9409.645319155921,
        "pass": true,
        "roundtripped_mm3": 9364.335358229671
      }
    },
    {
      "bbox": {
        "max_abs_deviation_mm": 0,
        "original_max": [
          20,
          4.226497173309326,
          30
        ],
        "original_min": [
          0,
          -15.773502349853516,
          0
        ],
        "pass": true,
        "roundtripped_max": [
          20,
          4.226497173309326,
          30
        ],
        "roundtripped_min": [
          0,
          -15.773502349853516,
          0
        ],
        "tolerance_mm": 0.4123105602487661
      },
      "index": 5,
      "pass": true,
      "volume": {
        "deviation_pct": 0.4815267673693571,
        "original_mm3": 9409.645319155925,
        "pass": true,
        "roundtripped_mm3": 9364.335358229671
      }
    },
    {
      "bbox": {
        "max_abs_deviation_mm": 0,
        "original_max": [
          10,
          21.54700469970703,
          30
        ],
        "original_min": [
          -20,
          -15.773502349853516,
          0
        ],
        "pass": true,
        "roundtripped_max": [
          10,
          21.54700469970703,
          30
        ],
        "roundtripped_min": [
          -20,
          -15.773502349853516,
          0
        ],
        "tolerance_mm": 0.565050462032932
      },
      "index": 6,
      "pass": true,
      "volume": {
        "deviation_pct": 0.4815270469884085,
        "original_mm3": 18819.290746147333,
        "pass": true,
        "roundtripped_mm3": 18728.670771153247
      }
    },
    {
      "bbox": {
        "max_abs_deviation_mm": 0,
        "original_max": [
          20,
          21.54700469970703,
          30
        ],
        "original_min": [
          -20,
          -15.773502349853516,
          0
        ],
        "pass": true,
        "roundtripped_max": [
          20,
          21.54700469970703,
          30
        ],
        "roundtripped_min": [
          -20,
          -15.773502349853516,
          0
        ],
        "tolerance_mm": 0.6239246946896956
      },
      "index": 7,
      "pass": true,
      "volume": {
        "deviation_pct": 0.4815269537820328,
        "original_mm3": 28228.93606530325,
        "pass": true,
        "roundtripped_mm3": 28093.006129382917
      }
    }
  ],
  "tolerance_pct": 1
}

Tool calls

0
open_document
ok
2ms
args
{}
1
create
err
3ms
args
{
  "document_id": "doc_1781215765551_1",
  "type": "cylinder",
  "name": "Cyl Top",
  "params": {
    "radius": 10,
    "height": 30,
    "position": {
      "x": 0,
      "y": 11.547005383792515,
      "z": 0
    }
  }
}
2
create_cad_loon
ok
12ms
args
{
  "source": "[union\n  [translate 0 11.547005383792515 0 [cylinder 10 30]]\n  [union\n    [translate -10 -5.773502691896258 0 [cylinder 10 30]]\n    [translate 10 -5.773502691896258 0 [cylinder 10 30]]]]"
}
3
create
ok
1ms
args
{
  "document_id": "doc_1781215765551_1",
  "type": "cylinder",
  "name": "Cyl Top",
  "params": {
    "radius": 10,
    "height": 30,
    "segments": 64
  }
}
4
create
err
5ms
args
{
  "document_id": "doc_1781215765551_1",
  "type": "translate",
  "name": "Move Top",
  "parent_part_id": "1",
  "params": {
    "x": 0,
    "y": 11.547005383792515,
    "z": 0
  }
}
5
create
ok
2ms
args
{
  "document_id": "doc_1781215765551_1",
  "type": "cylinder",
  "name": "Cyl BL",
  "params": {
    "radius": 10,
    "height": 30,
    "segments": 64
  }
}
6
create
ok
2ms
args
{
  "document_id": "doc_1781215765551_1",
  "type": "cylinder",
  "name": "Cyl BR",
  "params": {
    "radius": 10,
    "height": 30,
    "segments": 64
  }
}
7
read
ok
3ms
args
{
  "document_id": "doc_1781215765551_1"
}
8
create
err
6ms
args
{
  "document_id": "doc_1781215765551_1",
  "type": "translate",
  "name": "Move Top",
  "params": {
    "x": 0,
    "y": 11.547005383792515,
    "z": 0,
    "child": "1"
  }
}
9
create
err
1ms
args
{
  "document_id": "doc_1781215765551_1",
  "type": "translate",
  "name": "Move BL",
  "params": {
    "x": -10,
    "y": -5.773502691896258,
    "z": 0,
    "child": "2"
  }
}
10
create
err
1ms
args
{
  "document_id": "doc_1781215765551_1",
  "type": "translate",
  "name": "Move BR",
  "params": {
    "x": 10,
    "y": -5.773502691896258,
    "z": 0,
    "child": "3"
  }
}
11
create
err
2ms
args
{
  "document_id": "doc_1781215765551_1",
  "type": "translate",
  "name": "Move Top",
  "params": {
    "x": 0,
    "y": 11.547005383792515,
    "z": 0,
    "child": 1
  }
}
12
create
err
1ms
args
{
  "document_id": "doc_1781215765551_1",
  "type": "translate",
  "name": "Move BL",
  "params": {
    "x": -10,
    "y": -5.773502691896258,
    "z": 0,
    "child": 2
  }
}
13
create
err
1ms
args
{
  "document_id": "doc_1781215765551_1",
  "type": "translate",
  "name": "Move BR",
  "params": {
    "x": 10,
    "y": -5.773502691896258,
    "z": 0,
    "child": 3
  }
}
14
create
ok
6ms
args
{
  "document_id": "doc_1781215765551_1",
  "type": "translate",
  "name": "Move Top",
  "params": {
    "offset": {
      "x": 0,
      "y": 11.547005383792515,
      "z": 0
    },
    "child": 1
  }
}
15
create
ok
2ms
args
{
  "document_id": "doc_1781215765551_1",
  "type": "translate",
  "name": "Move BL",
  "params": {
    "offset": {
      "x": -10,
      "y": -5.773502691896258,
      "z": 0
    },
    "child": 2
  }
}
16
create
ok
2ms
args
{
  "document_id": "doc_1781215765551_1",
  "type": "translate",
  "name": "Move BR",
  "params": {
    "offset": {
      "x": 10,
      "y": -5.773502691896258,
      "z": 0
    },
    "child": 3
  }
}
17
create
err
3ms
args
{
  "document_id": "doc_1781215765551_1",
  "type": "union",
  "name": "Union12",
  "params": {
    "a": 4,
    "b": 5
  }
}
18
create
ok
2ms
args
{
  "document_id": "doc_1781215765551_1",
  "type": "union",
  "name": "Union12",
  "params": {
    "left": 4,
    "right": 5
  }
}
19
create
ok
3ms
args
{
  "document_id": "doc_1781215765551_1",
  "type": "union",
  "name": "Union All",
  "params": {
    "left": 7,
    "right": 6
  }
}
20
read
ok
2ms
args
{
  "document_id": "doc_1781215765551_1"
}
21
inspect_cad
ok
31ms
args
{
  "document_id": "doc_1781215765551_1"
}
22
render_view
ok
123ms
args
{
  "document_id": "doc_1781215765551_1"
}
23
delete
ok
2ms
args
{
  "document_id": "doc_1781215765551_1",
  "part_id": "8"
}
24
delete
ok
1ms
args
{
  "document_id": "doc_1781215765551_1",
  "part_id": "7"
}
25
delete
ok
1ms
args
{
  "document_id": "doc_1781215765551_1",
  "part_id": "6"
}
26
delete
ok
1ms
args
{
  "document_id": "doc_1781215765551_1",
  "part_id": "5"
}
27
delete
ok
2ms
args
{
  "document_id": "doc_1781215765551_1",
  "part_id": "4"
}
28
delete
ok
2ms
args
{
  "document_id": "doc_1781215765551_1",
  "part_id": "3"
}
29
delete
ok
1ms
args
{
  "document_id": "doc_1781215765551_1",
  "part_id": "2"
}
30
inspect_cad
ok
3ms
args
{
  "document_id": "doc_1781215765551_1"
}
31
create
ok
2ms
args
{
  "document_id": "doc_1781215765551_1",
  "type": "cylinder",
  "name": "Cyl BL",
  "params": {
    "radius": 10,
    "height": 30,
    "segments": 64
  }
}
32
create
ok
1ms
args
{
  "document_id": "doc_1781215765551_1",
  "type": "cylinder",
  "name": "Cyl BR",
  "params": {
    "radius": 10,
    "height": 30,
    "segments": 64
  }
}
33
create
ok
2ms
args
{
  "document_id": "doc_1781215765551_1",
  "type": "translate",
  "name": "Move Top",
  "params": {
    "offset": {
      "x": 0,
      "y": 11.547005383792515,
      "z": 0
    },
    "child": 1
  }
}
34
create
ok
2ms
args
{
  "document_id": "doc_1781215765551_1",
  "type": "translate",
  "name": "Move BL",
  "params": {
    "offset": {
      "x": -10,
      "y": -5.773502691896258,
      "z": 0
    },
    "child": 2
  }
}
35
create
ok
1ms
args
{
  "document_id": "doc_1781215765551_1",
  "type": "translate",
  "name": "Move BR",
  "params": {
    "offset": {
      "x": 10,
      "y": -5.773502691896258,
      "z": 0
    },
    "child": 3
  }
}
36
create
ok
1ms
args
{
  "document_id": "doc_1781215765551_1",
  "type": "union",
  "name": "Union12",
  "params": {
    "left": 4,
    "right": 5
  }
}
37
create
ok
2ms
args
{
  "document_id": "doc_1781215765551_1",
  "type": "union",
  "name": "Three Cyl Union",
  "params": {
    "left": 7,
    "right": 6
  }
}
38
get_document
ok
1ms
args
{
  "document_id": "doc_1781215765551_1"
}

What the model built

isometric render via vcad-render · the model's actual .vcad output, faceted at 28 segments per cylinder · download 20260611T220925Z-d920.vcad

.vcad source

{
  "version": "0.1",
  "nodes": {
    "1": {
      "id": 1,
      "name": "Cyl Top",
      "op": {
        "type": "Cylinder",
        "radius": 10,
        "height": 30,
        "segments": 64
      }
    },
    "2": {
      "id": 2,
      "name": "Cyl BL",
      "op": {
        "type": "Cylinder",
        "radius": 10,
        "height": 30,
        "segments": 64
      }
    },
    "3": {
      "id": 3,
      "name": "Cyl BR",
      "op": {
        "type": "Cylinder",
        "radius": 10,
        "height": 30,
        "segments": 64
      }
    },
    "4": {
      "id": 4,
      "name": "Move Top",
      "op": {
        "type": "Translate",
        "child": 1,
        "offset": {
          "x": 0,
          "y": 11.547005383792516,
          "z": 0
        }
      }
    },
    "5": {
      "id": 5,
      "name": "Move BL",
      "op": {
        "type": "Translate",
        "child": 2,
        "offset": {
          "x": -10,
          "y": -5.773502691896258,
          "z": 0
        }
      }
    },
    "6": {
      "id": 6,
      "name": "Move BR",
      "op": {
        "type": "Translate",
        "child": 3,
        "offset": {
          "x": 10,
          "y": -5.773502691896258,
          "z": 0
        }
      }
    },
    "7": {
      "id": 7,
      "name": "Union12",
      "op": {
        "type": "Union",
        "left": 4,
        "right": 5
      }
    },
    "8": {
      "id": 8,
      "name": "Three Cyl Union",
      "op": {
        "type": "Union",
        "left": 7,
        "right": 6
      }
    }
  },
  "materials": {},
  "part_materials": {},
  "roots": [
    {
      "root": 1,
      "material": "default"
    },
    {
      "root": 2,
      "material": "default"
    },
    {
      "root": 3,
      "material": "default"
    },
    {
      "root": 4,
      "material": "default"
    },
    {
      "root": 5,
      "material": "default"
    },
    {
      "root": 6,
      "material": "default"
    },
    {
      "root": 7,
      "material": "default"
    },
    {
      "root": 8,
      "material": "default"
    }
  ]
}

generated 2026-06-19T01:47:55.987Z · static site, regenerate with npm run build -w @mecheval/leaderboard