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Ditrigonal dodecadodecahedron
Polyhedron with 24 faces / From Wikipedia, the free encyclopedia
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In geometry, the ditrigonal dodecadodecahedron (or ditrigonary dodecadodecahedron) is a nonconvex uniform polyhedron, indexed as U41. It has 24 faces (12 pentagons and 12 pentagrams), 60 edges, and 20 vertices.[1] It has extended Schläfli symbol b{5,5⁄2}, as a blended great dodecahedron, and Coxeter diagram . It has 4 Schwarz triangle equivalent constructions, for example Wythoff symbol 3 | 5⁄3 5, and Coxeter diagram
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Ditrigonal dodecadodecahedron | |
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Type | Uniform star polyhedron |
Elements | F = 24, E = 60 V = 20 (χ = −16) |
Faces by sides | 12{5}+12{5/2} |
Coxeter diagram | ![]() ![]() ![]() ![]() |
Wythoff symbol | 3 | 5/3 5 3/2 | 5 5/2 3/2 | 5/3 5/4 3 | 5/2 5/4 |
Symmetry group | Ih, [5,3], *532 |
Index references | U41, C53, W80 |
Dual polyhedron | Medial triambic icosahedron |
Vertex figure | ![]() (5.5/3)3 |
Bowers acronym | Ditdid |
![](http://upload.wikimedia.org/wikipedia/commons/thumb/2/24/Ditrigonal_dodecadodecahedron.stl/640px-Ditrigonal_dodecadodecahedron.stl.png)