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Great Dirhombicosidodecahedron ("Miller's Monster")

8 hours ago
  • The Great Dirhombicosidodecahedron, known as 'Miller's Monster', is a uniform polyhedron with 124 faces, 240 edges, and 60 vertices.
  • It has 1280 external facelets to assemble, with all faces being regular and occurring in coplanar pairs, including squares passing through the center.
  • This model has eight faces meeting at each vertex: two purple pentagrams, two red triangles, and four yellow squares, making it the only uniform polyhedron with such a configuration.
  • The finished model has an edge length of about 21.6 cm and a diameter of 30.6 cm, requiring 42 A4 pages of nets (10 red, 9 purple, 23 yellow).
  • Assembly instructions describe a process starting with red triangle pairs, followed by five surrounding parts, and eventually connecting 12 main parts using tabs.
  • Purple triangle pairs are best added at the end after all other parts are connected, using small connector parts and free tabs for easier assembly.