Small ditrigonal icosidodecahedron

Small ditrigonal icosidodecahedron
Type	Uniform star polyhedron
Elements	F = 32, E = 60 V = 20 (χ = −8)
Faces by sides	20{3}+12{5/2}
Coxeter diagram
Wythoff symbol	3 | 5/2 3
Symmetry group	Ih, [5,3], *532
Index references	U30, C39, W70
Dual polyhedron	Small triambic icosahedron
Vertex figure	(3.5/2)3
Bowers acronym	Sidtid

In geometry, the small ditrigonal icosidodecahedron (or small ditrigonary icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U₃₀. It has 32 faces (20 triangles and 12 pentagrams), 60 edges, and 20 vertices.^[1] 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.