Great ditrigonal dodecicosidodecahedron
In geometry, the great ditrigonal dodecicosidodecahedron (or great dodekified icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U42. It has 44 faces (20 triangles, 12 pentagons, and 12 decagrams), 120 edges, and 60 vertices.[1] Its vertex figure is an isosceles trapezoid.
| Great ditrigonal dodecicosidodecahedron | |
|---|---|
 | |
| Type | Uniform star polyhedron |
| Elements | F = 44, E = 120 V = 60 (χ = −16) |
| Faces by sides | 20{3}+12{5}+12{10/3} |
| Wythoff symbol | 5/3 5/4 3/2 | 5/3 |
| Symmetry group | Ih, [5,3], *532 |
| Index references | U42, C54, W81 |
| Dual polyhedron | Great ditrigonal dodecacronic hexecontahedron |
| Vertex figure |  3.10/3.5.10/3 |
| Bowers acronym | Gidditdid |
3D model of a great ditrigonal dodecicosidodecahedron
Related polyhedra
It shares its vertex arrangement with the truncated dodecahedron. It additionally shares its edge arrangement with the great icosicosidodecahedron (having the triangular and pentagonal faces in common) and the great dodecicosahedron (having the decagrammic faces in common).
 Truncated dodecahedron |
 Great icosicosidodecahedron |
Great ditrigonal dodecicosidodecahedron |
 Great dodecicosahedron |
References
- Maeder, Roman. "42: great ditrigonal dodecicosidodecahedron". MathConsult.
See also
External links
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.