Phyllic disphenoid
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| Phyllic disphenoid | |
|---|---|
 | |
| Rank | 3 |
| Notation | |
| Bowers style acronym | Phydow |
| Coxeter diagram | oooo&#x |
| Elements | |
| Faces | 2+2 scalene triangles |
| Edges | 1+1+2+2 |
| Vertices | 2+2 |
| Vertex figure | 2+2 scalene triangles |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Army | Phydow |
| Regiment | Phydow |
| Dual | Phyllic disphenoid |
| Conjugate | Phyllic disphenoid |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Surface | Sphere |
| Orientable | Yes |
| Genus | 0 |
| Properties | |
| Symmetry | K2+×I, order 2 |
| Convex | Yes |
| Nature | Tame |
A phyllic disphenoid is a type of tetrahedron with two pairs of identical scalene triangles as faces. They commonly appear as cells in various step prisms along with some other isogonal polychora.
In vertex figures[edit | edit source]
Phyllic disphenoids appear as vertex figures in a total of 6 uniform polychora, which are omnitruncates with a doubled symmetry. These include the great prismatodecachoron, great prismatotetracontoctachoron, great quasiprismatotetracontoctachron, distetracontoctachoron, tetracontoctirhombated tetracontoctachoron, and tetracontoctiquasirhombated tetracontoctachoron.