Octeractidiminished demiocteract
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Octeractidiminished demiocteract | |
---|---|
Rank | 8 |
Type | Scaliform |
Notation | |
Bowers style acronym | Odhocto |
Elements | |
Zetta | 16 rectified octaexa, 16 octadiminished demihepteracts |
Exa | 128 heptapeta, 128 rectified heptapeta, 112 tetradiminished demihexeracts |
Peta | 896 hexatera, 448 rectified hexatera, 448 bidiminished demipenteracts |
Tera | 2688 pentachora, 896 octahedral pyramids, 896 rectified pentachora, 112 hexadecachora |
Cells | 896+896+3584 tetrahedra, 112+896 octahedra |
Faces | 896+3584 triangles |
Edges | 1344 |
Vertices | 112 |
Vertex figure | Tetradiminished rectified octaexon, edge length 1 |
Measures (edge length 1) | |
Circumradius | 1 |
Height | |
Central density | 1 |
Number of external pieces | 32 |
Related polytopes | |
Army | Odhocto |
Regiment | Odhocto |
Conjugate | None |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | order 21504 |
Convex | Yes |
Nature | Tame |
The octeractidiminished demiocteract, or odhocto, is a convex scaliform polyzetton. It has 16 rectified octaexa and 16 octadiminished demihepteracts as facets; 4 rectified octaexa and 8 octadiminished demihepteracts meet at each vertex. As its name suggests, it is formed by removing 16 vertices (corresponding to a scaled diacosipentacontahexazetton) from a demiocteract.
It is also a segmentozetton, as octadiminished demihepteract atop alternate octadiminished demihepteract.
External links[edit | edit source]
- Klitzing, Richard. "hocto".
- Wikipedia contributors. "8-demicube".