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}
Coxeter diagram
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
3D model of an icosidodecadodecahedron

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.

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