Small retrosnub icosicosidodecahedron
In geometry, the small retrosnub icosicosidodecahedron or small inverted retrosnub icosicosidodecahedron is a nonconvex uniform polyhedron, indexed as U72. It is also called a retroholosnub icosahedron, ß{3/2,5}. Unlike most snub polyhedra, it has reflection symmetries.
Its convex hull is a nonuniform truncated dodecahedron.
Cartesian coordinates for the vertices of a small retrosnub icosicosidodecahedron are all the even permutations of
where ϕ = (1+√5)/2 is the golden ratio and α = √(3ϕ−2).
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