Rhombic disphenoid
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| Rhombic disphenoid | |
|---|---|
 | |
| Rank | 3 |
| Type | Noble |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Rhodow |
| Coxeter diagram | s2s2s (  ) |
| Elements | |
| Faces | 4 scalene triangles |
| Edges | 2+2+2 |
| Vertices | 4 |
| Vertex figure | Scalene triangle |
| Measures (edge lengths a, b, c) | |
| Circumradius | |
| Central density | 1 |
| Related polytopes | |
| Army | Rhodow |
| Regiment | Rhodow |
| Dual | Rhombic disphenoid |
| Conjugate | Rhombic disphenoid |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Surface | Sphere |
| Orientable | Yes |
| Genus | 0 |
| Properties | |
| Symmetry | K3+, order 4 |
| Convex | Yes |
| Nature | Tame |
A rhombic disphenoid is a type of tetrahedron with 4 identical scalene triangles as faces. Rhombic disphenoids are related to tetragonal disphenoids, and can be considered to be the digonal version of gyroprisms.
A rhombic disphenoid can generally be formed by alternating a cuboid.
Rhombic disphenoids occur as cells in any n-d step prism where both n and d are even, or if n is even and d2 is equivalent to 1 mod n and is a divisor of 2n.