Antitruncated tetrahedron
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| Antitruncated tetrahedron | |
|---|---|
 | |
| Rank | 3 |
| Space | Spherical |
| Elements | |
| Faces | 4 triangles, 4 propeller tripods |
| Edges | 12+6 |
| Vertices | 12 |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Army | Semiuniform ratet |
| Dual | Antiapiculated tetrahedron |
| Convex core | Tetrahedron |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Orientable | Yes |
| Genus | 0 |
| Properties | |
| Nature | Tame |
The antitruncated tetrahedron or inflected truncated tetrahedron is a semi-uniform polyhedron. It consists of 4 triangles and 4 propeller tripods. It has 1 triangle and 2 propeller tripods at a vertex, and an isosceles triangle vertex figure. It is the antitruncation of the tetrahedron and a faceting of a nonuniform rhombitetratetrahedron.
Variations[edit | edit source]
Adjusting the size of the triangles in an antitruncated tetrahedron but keeping the distance between them forms a teepee.
Related polyhedra[edit | edit source]
The antitruncated tetrahedron is topologically equivalent to the truncated tetrahedron