← mecheval / run / a3-three-tangent-cylinders-01 / claude-mcp-claude-opus-4-7 / 20260611T220929Z-2eb7

run 20260611T220929Z-2eb7

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

Summary

statusPASS
score1.00 (4/4)
submissionself-run
modelclaude-mcp-claude-opus-4-7 (anthropic)
started2026-06-11T22:09:29.586Z
ended2026-06-11T22:10:51.028Z
tokens432,413 in · 4,299 out · 436,712 total
wallclock81.4s
tool calls30
task hash4bf52e7ac1c38ed5…
vcad hash014a562b6f0451d3…

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": 1,
  "solids_produced": 1
}
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
pass
params + details 
params: {
  "type": "mass_props",
  "volume_mm3": 28274.33,
  "tolerance_pct": 1
}

details: {
  "volume": {
    "actual_mm3": 28228.93606530325,
    "deviation_pct": 0.16054822411973224,
    "pass": true,
    "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": [
          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": 0,
      "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
1ms
args
{}
1
create
err
7ms
args
{
  "document_id": "doc_1781215769762_1",
  "type": "union",
  "name": "Three Tangent Cylinders",
  "params": {
    "children": [
      {
        "type": "translate",
        "params": {
          "x": 0,
          "y": 11.547005383792515,
          "z": 0,
          "child": {
            "type": "cylinder",
            "params": {
              "radius": 10,
              "height": 30
            }
          }
        }
      },
      {
        "type": "translate",
        "params": {
          "x": -10,
          "y": -5.773502691896258,
          "z": 0,
          "child": {
            "type": "cylinder",
            "params": {
              "radius": 10,
              "height": 30
            }
          }
        }
      },
      {
        "type": "translate",
        "params": {
          "x": 10,
          "y": -5.773502691896258,
          "z": 0,
          "child": {
            "type": "cylinder",
            "params": {
              "radius": 10,
              "height": 30
            }
          }
        }
      }
    ]
  }
}
2
create_cad_loon
ok
13ms
args
{
  "source": "[root\n  [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]]]]\n  \"steel\"]",
  "format": "json"
}
3
create
err
4ms
args
{
  "document_id": "doc_1781215769762_1",
  "type": "union",
  "name": "Three Tangent Cylinders",
  "params": {
    "left": {
      "type": "translate",
      "params": {
        "x": 0,
        "y": 11.547005383792515,
        "z": 0,
        "child": {
          "type": "cylinder",
          "params": {
            "radius": 10,
            "height": 30
          }
        }
      }
    },
    "right": {
      "type": "union",
      "params": {
        "left": {
          "type": "translate",
          "params": {
            "x": -10,
            "y": -5.773502691896258,
            "z": 0,
            "child": {
              "type": "cylinder",
              "params": {
                "radius": 10,
                "height": 30
              }
            }
          }
        },
        "right": {
          "type": "translate",
          "params": {
            "x": 10,
            "y": -5.773502691896258,
            "z": 0,
            "child": {
              "type": "cylinder",
              "params": {
                "radius": 10,
                "height": 30
              }
            }
          }
        }
      }
    }
  }
}
4
create
err
3ms
args
{
  "document_id": "doc_1781215769762_1",
  "type": "cylinder",
  "name": "cyl_base",
  "params": {
    "radius": 10,
    "height": 30
  }
}
5
create
ok
2ms
args
{
  "document_id": "doc_1781215769762_1",
  "type": "cylinder",
  "name": "cyl_base",
  "params": {
    "radius": 10,
    "height": 30,
    "segments": 64
  }
}
6
read
ok
3ms
args
{
  "document_id": "doc_1781215769762_1"
}
7
delete
ok
5ms
args
{
  "document_id": "doc_1781215769762_1",
  "part_id": "1"
}
8
create
err
4ms
args
{
  "document_id": "doc_1781215769762_1",
  "type": "translate",
  "name": "cyl_top",
  "params": {
    "x": 0,
    "y": 11.547005383792515,
    "z": 0,
    "child": {
      "type": "cylinder",
      "params": {
        "radius": 10,
        "height": 30,
        "segments": 64
      }
    }
  }
}
9
create
ok
3ms
args
{
  "document_id": "doc_1781215769762_1",
  "type": "cylinder",
  "params": {
    "radius": 10,
    "height": 30,
    "segments": 64
  }
}
10
create
err
4ms
args
{
  "document_id": "doc_1781215769762_1",
  "type": "translate",
  "params": {
    "x": 0,
    "y": 11.547005383792515,
    "z": 0,
    "child": 1
  }
}
11
create
ok
2ms
args
{
  "document_id": "doc_1781215769762_1",
  "type": "translate",
  "params": {
    "offset": {
      "x": 0,
      "y": 11.547005383792515,
      "z": 0
    },
    "child": 1
  }
}
12
create
ok
4ms
args
{
  "document_id": "doc_1781215769762_1",
  "type": "cylinder",
  "params": {
    "radius": 10,
    "height": 30,
    "segments": 64
  }
}
13
create
ok
4ms
args
{
  "document_id": "doc_1781215769762_1",
  "type": "translate",
  "params": {
    "offset": {
      "x": -10,
      "y": -5.773502691896258,
      "z": 0
    },
    "child": 3
  }
}
14
create
ok
2ms
args
{
  "document_id": "doc_1781215769762_1",
  "type": "cylinder",
  "params": {
    "radius": 10,
    "height": 30,
    "segments": 64
  }
}
15
create
ok
2ms
args
{
  "document_id": "doc_1781215769762_1",
  "type": "translate",
  "params": {
    "offset": {
      "x": 10,
      "y": -5.773502691896258,
      "z": 0
    },
    "child": 5
  }
}
16
create
ok
2ms
args
{
  "document_id": "doc_1781215769762_1",
  "type": "union",
  "params": {
    "left": 4,
    "right": 6
  }
}
17
create
ok
3ms
args
{
  "document_id": "doc_1781215769762_1",
  "type": "union",
  "name": "Three Tangent Cylinders",
  "params": {
    "left": 2,
    "right": 7
  }
}
18
read
ok
3ms
args
{
  "document_id": "doc_1781215769762_1"
}
19
get_document
ok
2ms
args
{
  "document_id": "doc_1781215769762_1"
}
20
delete
ok
3ms
args
{
  "document_id": "doc_1781215769762_1",
  "part_id": "1"
}
21
delete
ok
1ms
args
{
  "document_id": "doc_1781215769762_1",
  "part_id": "2"
}
22
delete
ok
1ms
args
{
  "document_id": "doc_1781215769762_1",
  "part_id": "3"
}
23
delete
ok
1ms
args
{
  "document_id": "doc_1781215769762_1",
  "part_id": "4"
}
24
delete
ok
1ms
args
{
  "document_id": "doc_1781215769762_1",
  "part_id": "5"
}
25
delete
ok
1ms
args
{
  "document_id": "doc_1781215769762_1",
  "part_id": "6"
}
26
delete
ok
1ms
args
{
  "document_id": "doc_1781215769762_1",
  "part_id": "7"
}
27
get_document
ok
1ms
args
{
  "document_id": "doc_1781215769762_1"
}
28
render_view
ok
111ms
args
{
  "document_id": "doc_1781215769762_1"
}
29
get_document
ok
2ms
args
{
  "document_id": "doc_1781215769762_1"
}

What the model built

isometric render via vcad-render · the model's actual .vcad output, faceted at 28 segments per cylinder · download 20260611T220929Z-2eb7.vcad

.vcad source

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