Disdyakis dodecahedral tegum
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| Disdyakis dodecahedral tegum | |
|---|---|
| Rank | 4 |
| Type | Uniform dual |
| Space | Spherical |
| Notation | |
| Coxeter diagram | m2m4m3m |
| Elements | |
| Cells | 96 irregular tetrahedra |
| Faces | 48+48+48+48 scalene triangles |
| Edges | 12+16+24+24+24+24 |
| Vertices | 2+6+8+12 |
| Vertex figure | 2 disdyakis dodecahedra, 6 octagonal tegums, 6 hexagonal tegums, 12 octahedra |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Great rhombicuboctahedral prism |
| Conjugate | Great disdyakis dodecahedral tegum |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | B3×A1, order 96 |
| Convex | Yes |
| Nature | Tame |
The disdyakis dodecahedral tegum, also called the disdyakis dodecahedral bipyramid, is a convex isochoric polychoron with 96 irregular tetrahedra as cells. As the name suggests, it can be constructed as a tegum based on the disdyakis dodecahedron.
In the variant obtained as the dual of the uniform great rhombicuboctahedral prism, if the shortest edges of the disdyakis dodecahedron have length 1, its height is .