Great Dirhombicosidodecahedron ("Miller's Monster")
A detailed technical breakdown of constructing a Great Dirhombicosidodecahedron, also known as 'Miller's Monster,' using paper-craft nets. The author provides specific instructions on assembly, geometry, and the challenges of building this complex uniform polyhedron.
Why it matters
It provides niche educational value for hobbyists interested in geometry and 3D modeling.
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Great Dirhombicosidodecahedron ("Miller's Monster")
Vertex description: (5/2.4.3.4.5/3.4.3/2.4)/2
Faces: 124 (24 pentagrams, 40 triangles, 60 squares)
This model has 1280 external facelets to put together! The polyhedron is uniform, so all the faces are regular although it's hard to make them all out. It is the only uniform polyhedron with as many as 8 faces meeting at each vertex (two purple pentagrams, two red triangles, and four yellow squares). It is also the only uniform polyhedron with snub faces other than triangles. Here they are squares. All faces occur in coplanar pairs, with the squares passing through the centre of the polyhedron.
This model has an edge length of about 21.6 centimetres, and a diameter of 30.6 centimetres. The nets filled up 42 A4 pages! 10 red, 9 purple and 23 yellow.
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