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. Its vertex figure is a crossed quadrilateral.
| 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 |
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