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Small ditrigonal icosidodecahedron information


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
3D model of a small ditrigonal icosidodecahedron

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 52) with Wythoff symbol 3 | 52 3. Its hexagonal vertex figure alternates equilateral triangle and pentagram faces.

  1. ^ Maeder, Roman. "30: small ditrigonal icosidodecahedron". MathConsult.

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