Icosidodecadodecahedron

Icosidodecadodecahedron
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	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

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).

convex hull	Rhombidodecadodecahedron	Icosidodecadodecahedron
Rhombicosahedron	Compound of ten triangular prisms	Compound of twenty triangular prisms

See also

• List of uniform polyhedra
• Snub icosidodecadodecahedron

External links

• Weisstein, Eric W., "Icosidodecadodecahedron", MathWorld.