Tetrahedral duoprism
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Tetrahedral duoprism | |
---|---|
Rank | 6 |
Type | Uniform |
Notation | |
Bowers style acronym | Tetdip |
Coxeter diagram | x3o3o x3o3o () |
Tapertopic notation | 1212 |
Elements | |
Peta | 8 triangular-tetrahedral duoprisms |
Tera | 12 tetrahedral prisms, 16 triangular duoprisms |
Cells | 8 tetrahedra, 48 triangular prisms |
Faces | 32 triangles, 36 squares |
Edges | 48 |
Vertices | 16 |
Vertex figure | Triangular disphenoid, edge lengths 1 (base) and √2 (sides) |
Measures (edge length 1) | |
Circumradius | |
Inradius | |
Hypervolume | |
Dipetal angles | Tratet–triddip–tratet: 90° |
Tratet–tepe–tratet: | |
Heights | Tet atop tratet: |
Tepe atop ortho tepe: | |
Central density | 1 |
Number of external pieces | 8 |
Level of complexity | 10 |
Related polytopes | |
Army | Tetdip |
Regiment | Tetdip |
Dual | Tetrahedral duotegum |
Conjugate | None |
Abstract & topological properties | |
Flag count | 11520 |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | A3≀S2, order 1152 |
Convex | Yes |
Nature | Tame |
The tetrahedral duoprism or tetdip is a convex uniform duoprism that consists of 8 triangular-tetrahedral duoprisms as facets. 6 facets join at each vertex. It is the prism product of two tetrahedra. It is also the 8-2-3 gyropeton.
The tetrahedral duoprism can be vertex-inscribed into a demihexeract.
Vertex coordinates[edit | edit source]
The vertices of a tetrahedral duoprism of edge length 1 are given by all even sign changes in the first and the last three coordinates of:
External links[edit | edit source]
- Klitzing, Richard. "tetdip".