Pentacontahexadiminished birectified hecatonicosoctaexon
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Pentacontahexadiminished birectified hecatonicosoctaexon | |
---|---|
Rank | 7 |
Type | Scaliform |
Notation | |
Bowers style acronym | Lidbarz |
Elements | |
Exa | 14 hexeractidiminished rectified hexacontatetrapeta, 56 triangular-hexadecachoric duoprisms, 128 heptadiminished birectified heptapeta |
Peta | 896 triangular-tetrahedral duoprisms, 896 tridiminished rectified hexatera, 448 tetradiminished dodecatera, 168 hexadecachoric prisms |
Tera | 2688 tetrahedral prisms, 1792 triangular duoprisms, 672+2688 bidiminished rectified pentachora, 84 hexadecachora |
Cells | 112+1344 tetrahedra, 2688 square pyramids, 1344+5376 triangular prisms |
Faces | 448+448+2688 triangles, 672+2688 squares |
Edges | 672+1344 |
Vertices | 224 |
Measures (edge length 1) | |
Circumradius | |
Central density | 1 |
Number of external pieces | 198 |
Related polytopes | |
Army | Lidbarz |
Regiment | Lidbarz |
Conjugate | None |
Abstract & topological properties | |
Euler characteristic | 2 |
Orientable | Yes |
Properties | |
Symmetry | order 21504 |
Convex | Yes |
Nature | Tame |
The pentacontahexadiminished birectified hecatonicosoctaexon or lidbarz is a convex scaliform polyexon. It consists of 14 hexeractidiminished rectified hexacontatetrapeta, 56 triangular-hexadecachoric duoprisms, and 128 heptadiminished birectified heptapeta. 3 hexeractidiminished rectified hexacontatetrapeta, 6 triangular-hexadecachoric duoprisms, and 16 birectified heptapeta meet at each vertex.
One can create this polyexon by removing 56 vertices (corresponding to an inscribed hecatonicosihexapentacosiheptacontahexaexon) from a birectified hecatonicosoctaexon.
Vertex coordinates[edit | edit source]
The vertices of a pentacontahexadiminished birectified hecatonicosoctaexon of edge length 1, centered at the origin, are given by cyclic permutations of:
External links[edit | edit source]
- Klitzing, Richard. "barz".
- Wikipedia contributors. "Birectified 7-orthoplex".