Great disnub dirhombidodecahedron

The great disnub dirhombidodecahedron, or gidisdrid, also known as Skilling's figure, is a degenerate exotic uniform polyhedron. It consists of 120 snub triangles, 60 snub squares, and 24 pentagrams, the latter two of which fall into coinciding planes in pairs. Six triangles, four squares, and two pentagrams meet at each vertex.

It is usually considered to be degenerate because some of the edges coincide in pairs, leading to some edges where four faces can appear to connect. This makes it the most well-known example of an exotic polytope.

It can be constructed as a blend of the unifo rm great dirhombicosidodecahedron and the disnub icosahedron, the uniform compound of 20 octahedra with which it shares its edge skeleton.