Icosidodecadodecahedron

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 (or icosified dodecadodecahedron) is a nonconvex uniform polyhedron, indexed as U44. It has 44 faces (12 pentagons, 12 pentagrams and 20 hexagons), 120 edges and 60 vertices.[1] Its vertex figure is a crossed quadrilateral.

3D model of an icosidodecadodecahedron

Related polyhedraEdit

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 alsoEdit

ReferencesEdit

  1. ^ Maeder, Roman. "44: icosidodecadodecahedron". MathConsult.

External linksEdit