Pentisteritruncated 6-simplex
(Redirected from Tericellitruncatotetradecapeton)
| Pentisteritruncated 6-simplex | |
|---|---|
 | |
| Rank | 6 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Tactaf |
| Coxeter diagram | x3x3o3o3x3x (   ) |
| Elements | |
| Peta | 14 steritruncated 5-simplices 42 truncated pentachoric prisms 70 hexagonal-truncated tetrahedral duoprisms |
| Tera | 280 triangular-hexagonal duoprisms 210+210 truncated tetrahedral prisms 210 tetrahedral prisms 140 hexagonal duoprisms 84 truncated pentachora 42 small prismatodecachora |
| Cells | 840+840 triangular prisms 840+420 hexagonal prisms 420 tetrahedra 420 truncated tetrahedra |
| Faces | 1680 triangles 1260+1260+210 squares 840 hexagons |
| Edges | 2520+840 |
| Vertices | 840 |
| Vertex figure | Triangular antiprismatic scalene, edge lengths 1 (triangles), √2 (antiprism lacings and top edge), √3 (sides) |
| Measures (edge length 1) | |
| Circumradius | |
| Hypervolume | |
| Central density | 1 |
| Related polytopes | |
| Army | Tactaf |
| Regiment | Tactaf |
| Conjugate | None |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | A6×2, order 10080 |
| Convex | Yes |
| Nature | Tame |
The pentisteritruncated 6-simplex, also called the pentisteritruncated heptapeton, tericellitruncatotetradecapeton, or tactaf, is a convex uniform 6-polytope. It consists of 14 steritruncated 5-simplices, 42 truncated pentachoric prisms, and 70 hexagonal-truncated tetrahedral duoprisms. 2 steritruncated 5-simplices, 2 truncated pentachoric prisms, and 6 hexagonal-truncated tetrahedral duoprisms join at each vertex. As the name suggests, it is the pentisteritruncation of the 6-simplex.
Gallery[edit | edit source]
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A5 orthographic projection
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A4
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A3
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A2
External links[edit | edit source]
- Klitzing, Richard. "tactaf".
- Wikipedia contributors. "Pentisteritruncated 6-simplex".
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