Icosidodecadodecahedron

Icosidodecadodecahedron
TypeUniform star polyhedron
ElementsF = 44, E = 120
V = 60 (χ = 16)
Faces by sides12{5}+12{5/2}+20{6}
Wythoff symbol5/3 5 | 3
5/2 5/4 | 3
Symmetry groupIh, [5,3], *532
Index referencesU44, C56, W83
Dual polyhedronMedial icosacronic hexecontahedron
Vertex figure
5.6.5/3.6
Bowers acronymIded

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

External links