Heptadiminished birectified heptapeton
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Heptadiminished birectified heptapeton | |
---|---|
Rank | 6 |
Type | Scaliform |
Notation | |
Bowers style acronym | Ladbril |
Elements | |
Peta | 7 tridiminished rectified hexatera, 7 tetradiminished dodecatera, 7 triangular-tetrahedral duoprisms |
Tera | 21 tetrahedral prisms, 28 triangular duoprisms, 21+42 bidiminished rectified pentachora |
Cells | 7+21 tetrahedra, 84 square pyramids, 42+84 triangular prisms |
Faces | 28+28+84 triangles, 21+84 squares |
Edges | 42+84 |
Vertices | 28 |
Measures (edge length 1) | |
Circumradius | |
Height | |
Central density | 1 |
Number of external pieces | 21 |
Related polytopes | |
Army | Ladbril |
Regiment | Ladbril |
Conjugate | None |
Abstract & topological properties | |
Flag count | 48384 |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | order 168 |
Convex | Yes |
Nature | Tame |
The heptadiminished birectified heptapeton, or ladbril, is a convex scaliform 6-polytope. It consists of 7 tridiminished rectified hexatera, 7 tetradiminished dodecatera, and 7 triangular-tetrahedral duoprisms. 3 tridiminished rectified hexatera, 4 tetradiminished dodecatera, and 3 triangular-tetrahedral duoprisms meet at each vertex.
It is also a convex segmentopeton, as a tridiminished rectified hexateron atop tetradiminished dodecateron.
Vertex coordinates[edit | edit source]
The vertices of a heptadiminished birectified heptapeton of edge length 1 can be given in seven dimensions as cyclic permutations of:
- ,
- ,
- ,
- .
External links[edit | edit source]
- Klitzing, Richard. "ladbril".
- Wikipedia contributors. "Birectified 6-simplex".