Small ditrigonal icosidodecahedron

In geometry, the small ditrigonal icosidodecahedron is a nonconvex uniform polyhedron, indexed as U₃₀. It has extended Schläfli symbol a{5,3}, as an altered dodecahedron, and Coxeter diagram or .

It is constructed from Schwarz triangle (3 3 5/2) with Wythoff symbol 3 | 5/2 3. Its hexagonal vertex figure alternates equilateral triangle and pentagram faces.

Its convex hull is a regular dodecahedron. It additionally shares its edge arrangement with the great ditrigonal icosidodecahedron (having the triangular faces in common), the ditrigonal dodecadodecahedron (having the pentagrammic faces in common), and the regular compound of five cubes.

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