Small ditrigonal dodecicosidodecahedron
In geometry, the small ditrigonal dodecicosidodecahedron (or small dodekified icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U43. It has 44 faces (20 triangles, 12 pentagrams and 12 decagons), 120 edges, and 60 vertices.[1] Its vertex figure is a crossed quadrilateral.
| Small ditrigonal dodecicosidodecahedron | |
|---|---|
 | |
| Type | Uniform star polyhedron |
| Elements | F = 44, E = 120 V = 60 (χ = −16) |
| Faces by sides | 20{3}+12{5/2}+12{10} |
| Coxeter diagram |     |
| Wythoff symbol | 5/3 3 | 5 5/2 3/2 | 5 |
| Symmetry group | Ih, [5,3], *532 |
| Index references | U43, C55, W82 |
| Dual polyhedron | Small ditrigonal dodecacronic hexecontahedron |
| Vertex figure |  3.10.5/3.10 |
| Bowers acronym | Sidditdid |
3D model of a small ditrigonal dodecicosidodecahedron
Related polyhedra
It shares its vertex arrangement with the great stellated truncated dodecahedron. It additionally shares its edges with the small icosicosidodecahedron (having the triangular and pentagrammic faces in common) and the small dodecicosahedron (having the decagonal faces in common).
 Great stellated truncated dodecahedron |
 Small icosicosidodecahedron |
Small ditrigonal dodecicosidodecahedron |
 Small dodecicosahedron |
See also
References
- Maeder, Roman. "43: small ditrigonal dodecicosidodecahedron". MathConsult.
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