Icosidodecadodecahedron

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Icosidodecadodecahedron
Icosidodecadodecahedron.png
Type Uniform star polyhedron
Elements F = 44, E = 120
V = 60 (χ = −16)
Faces by sides 12{5}+12{5/2}+20{6}
Wythoff symbol 5/3 5 | 3
5/2 5/4 | 3
Symmetry group Ih, [5,3], *532
Index references U44, C56, W83
Dual polyhedron Medial icosacronic hexecontahedron
Vertex figure Icosidodecadodecahedron vertfig.png
5.6.5/3.6
Bowers acronym Ided

In geometry, the icosidodecadodecahedron is a nonconvex uniform polyhedron, indexed as U44. Its vertex figure is a crossed quadrilateral.

Related polyhedra[edit]

It shares its vertex arrangement with the uniform compounds of 10 or 20 triangular prisms. It additionally shares its edges with the rhombidodecadodecahedron (having the pentagonal and pentagrammic faces in common) and the rhombicosahedron (having the hexagonal faces in common).

Rhombidodecadodecahedron convex hull.png
convex hull
Rhombidodecadodecahedron.png
Rhombidodecadodecahedron
Icosidodecadodecahedron.png
Icosidodecadodecahedron
Rhombicosahedron.png
Rhombicosahedron
UC32-10 triangular prisms.png
Compound of ten triangular prisms
UC33-20 triangular prisms.png
Compound of twenty triangular prisms

See also[edit]

External links[edit]