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 |
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.