since edges and vertices coincide, but it is included for completeness. Visually, it looks like a regular dodecahedron on the surface, but it has 24 faces in overlapping pairs. The spikes are truncated until they reach the plane of the pentagram beneath them. The 24 faces are 12 pentagons from the truncated vertices and 12 decagons taking the form of doubly-wound pentagons overlapping the first 12 pentagons. The latter faces are formed by truncating the original pentagrams. When an -gon is truncated, it becomes a -gon. For example, a truncated pentagon becomes a decagon , so truncating a pentagram becomes a doubly-wound pentagon (the common factor between 10 and 2 mean we visit each vertex twice to complete the polygon). See also Compound of small stellated dodecahedron and great dodecahedron References Further reading External links Polyhedral stellation Regular polyhedra Kepler–Poinsot polyhedra