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)

- Edges: 240

- Vertices: 60

- External facelets: 1280

- Dual: Great Dirhombicosidodecacron

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.