The Great Dirhombicosidodecahedron, known as 'Miller's Monster', is a uniform polyhedron with 124 faces (24 pentagrams, 40 triangles, 60 squares), 240 edges, and 60 vertices. It features 8 faces meeting at each vertex—two purple pentagrams, two red triangles, and four yellow squares—and is the only uniform polyhedron with snub faces that are squares rather than triangles. All faces occur in coplanar pairs, with squares passing through the polyhedron's center.
The model has an edge length of about 21.6 cm and a diameter of 30.6 cm. Its nets required 42 A4 pages for printing, using 10 red, 9 purple, and 23 yellow sheets. Assembly involves complex tab-and-slot construction, with internal green support parts created via Stella's faceting mode.
The builder used a phased approach: connecting core components first, adding purple triangle pairs last, and using pre-glued tabs for final assembly. The model's 1280 external facelets make it a significant paper modeling challenge.
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