Small ditrigonal icosidodecahedron

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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}
Wythoff symbol(s) 3 | 5/2 3
Symmetry group Ih, [5,3], *532
Index references U30, C39, W70
Bowers acronym Sidtid
Small ditrigonal icosidodecahedron
(3.5/2)3
(Vertex figure)
DU30 small triambic icosahedron.png
Small triambic icosahedron
(dual polyhedron)

In geometry, the small ditrigonal icosidodecahedron is a nonconvex uniform polyhedron, indexed as U30. It is constructed from Schwarz triangle (3 3 5/2) with Wythoff symbol 3 | 5/2 3, and Coxeter diagram Small ditrigonal icosidodecahedron cd.png. Its hexagonal vertex figure alternates equilateral triangle and pentagram faces.

Related polyhedra[edit]

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.

Small ditrigonal icosidodecahedron.png
Small ditrigonal icosidodecahedron
Great ditrigonal icosidodecahedron.png
Great ditrigonal icosidodecahedron
Ditrigonal dodecadodecahedron.png
Ditrigonal dodecadodecahedron
Dodecahedron.png
Dodecahedron (convex hull)
Compound of five cubes.png
Compound of five cubes

See also[edit]

External links[edit]