Disdyakis hexahedron
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| Disdyakis hexahedron | |
|---|---|
 | |
| Rank | 3 |
| Type | Isotopic |
| Notation | |
| Coxeter diagram | m3m3m (  ) |
| Elements | |
| Faces | 24 scalene triangles |
| Edges | 12+12+12 |
| Vertices | 4+4+6 |
| Vertex figure | |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Great rhombitetratetrahedron |
| Conjugate | Disdyakis hexahedron |
| Abstract & topological properties | |
| Flag count | 144 |
| Euler characteristic | 2 |
| Surface | Sphere |
| Orientable | Yes |
| Genus | 0 |
| Properties | |
| Symmetry | A3, order 24 |
| Flag orbits | 6 |
| Convex | Yes |
| Nature | Tame |
The disdyakis hexahedron is a variant of the tetrakis hexahedron with tetrahedral symmetry, dual to the great rhombitetratetrahedron. It has 24 identical scalene triangles for faces.
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