Hepteractidiminished hexadecaexon
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Hepteractidiminished hexadecaexon | |
---|---|
Rank | 7 |
Type | Scaliform |
Notation | |
Bowers style acronym | Sadhe |
Elements | |
Exa | 14 tetrahedral duoprisms, 16 heptadiminished birectified heptapeta |
Peta | 112 triangular-tetrahedral duoprisms, 56 tridiminished rectified hexatera, 56 tetradiminished dodecatera |
Tera | 168 tetrahedral prisms, 224 triangular duoprisms, 336 bidiminished rectified pentachora |
Cells | 112 tetrahedra, 336 square pyramids, 672 triangular prisms |
Faces | 448 triangles, 84+336 squares |
Edges | 336 |
Vertices | 56 |
Vertex figure | Tetrahedral duoprism, edge length 1 |
Measures (edge length 1) | |
Circumradius | 1 |
Height | |
Central density | 1 |
Number of external pieces | 30 |
Related polytopes | |
Army | Sadhe |
Regiment | Sadhe |
Conjugate | None |
Abstract & topological properties | |
Euler characteristic | 2 |
Orientable | Yes |
Properties | |
Symmetry | order 2688 |
Convex | Yes |
Nature | Tame |
The hepteractidiminished hexadecaexon, or sadhe, is a convex scaliform polyexon. It consists of 14 tetrahedral duoprisms and 16 heptadiminished birectified heptapeta. 4 tetrahedral duoprisms and 8 heptadiminished birectified heptapeta meet at each vertex. As the name suggests, it can be created by removing an inscribed hecatonicosoctaexon's vertices from a hexadecaexon.
It is also a convex segmentoexon, as heptadiminished birectified heptapeton atop inverted heptadiminished birectified heptapeton.
A hepteractidiminished hexadecaexon} can be vertex-inscribed into the pentacontahexapentacosiheptacontahexaexon (also known as the 231 polytope).
External links[edit | edit source]
- Klitzing, Richard. "he".
- Wikipedia contributors. "Trirectified 7-simplex".