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Great Dirhombicosidodecahedron ("Miller's Monster")

read article ↗ hn thread ↗

A detailed build log and papercraft guide for constructing the Great Dirhombicosidodecahedron, a complex uniform polyhedron with 124 faces and 1,280 external facelets.

summary is enough The page offers a fascinating photo-heavy build log for an exceptionally complex paper model, but provides little text or deep mathematical theory.

summary

The author shares a detailed build log and papercraft instructions for the Great Dirhombicosidodecahedron, also known as Miller's Monster. This uniform polyhedron features 124 faces, 240 edges, and 60 vertices, requiring 42 A4 pages of printed nets and 1,280 external facelets. The post outlines the assembly steps, challenges with gluing internal tabs, and practical sequencing for attaching the complex geometry. It serves as a visual showcase of constructing extreme geometric paper models.

key points

  1. The model requires 42 A4 pages of printed nets to assemble 1,280 external facelets across 124 total faces.
  2. It is the only uniform polyhedron with 8 faces meeting at each vertex and non-triangle snub faces.
  3. Strategic sequencing is required during construction, saving the purple pentagram arms for the final step.

who should read it

Papercraft enthusiasts and geometric model builders interested in extreme physical polyhedra.

Generated by an LLM from the article and thread. Check the sources before relying on it.