Triangular antitegum
(Redirected from Triangular trapezohedron)
| Triangular antitegum | |
|---|---|
 | |
| Rank | 3 |
| Type | Isotopic |
| Notation | |
| Bowers style acronym | Trate |
| Coxeter diagram | p2p6o (    ) |
| Elements | |
| Faces | 6 rhombi |
| Edges | 6+6 |
| Vertices | 2+6 |
| Vertex figure | 6 isosceles triangles, 2 triangles |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Army | Trate |
| Regiment | Trate |
| Dual | Triangular antiprism |
| Conjugate | Triangular antitegum |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Surface | Sphere |
| Orientable | Yes |
| Genus | 0 |
| Properties | |
| Symmetry | (G2×A1)/2, order 12 |
| Convex | Yes |
| Nature | Tame |
The triangular antitegum, also known as the trigonal trapezohedron, is an antitegum based on a triangle. If all angles are equal, the result is the regular cube. The general triangular antitegum has 6 identical rhombic faces.
Variants of the triangular antitegum exist that are dual to the triangular antipodium as well, using 2 different sets of 3 kites for faces.