Partially-expanded demihexeract
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Partially-expanded demihexeract | |
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File:Partially-expanded demihexeract.png | |
Rank | 6 |
Type | Scaliform |
Notation | |
Bowers style acronym | Pexhax |
Coxeter diagram | |
Elements | |
Peta | 6 partially-expanded demipenteracts, 6 demipenteracts, 8 triangular-tetrahedral duoprisms, 12 hexadecachoric prisms, 32 partially-expanded hexatera |
Tera | 12 truncated tetrahedral cupoliprisms, 24+72+96 tetrahedral prisms, 24+36 hexadecachora, 32 triangular duoprisms, 96 triangular cupofastegiums, 96 pentachora |
Cells | 8 truncated tetrahedra, 48+96+288 triangular prisms, 96 triangular cupolas, 24+72+144+192+288 tetrahedra |
Faces | 32 hexagons, 144+144 squares, 32+96+288+576 triangles |
Edges | 48+96+144+288 |
Vertices | 96 |
Measures (edge length 1) | |
Circumradius | |
Central density | 1 |
Related polytopes | |
Dual | Tetrahedral-triakis tetrahedral duoaltertegum |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | B3×B3/2, order 1152 |
Convex | Yes |
Nature | Tame |
The partially-expanded demihexeract or pexhax, also known as the tetrahedral-truncated tetrahedral duoalterprism, is a convex scaliform polypeton that consists of 6 partially-expanded demipenteracts, 6 demipenteracts, 8 triangular-tetrahedral duoprisms, 12 hexadecachoric prisms, and 32 partially-expanded hexatera formed by tetrahedrally alternating the cubic-small rhombicuboctahedral duoprism.
It can also be obtained as a Stott expansion of the demihexeract, or as the convex hull of 2 opposite tetrahedral-truncated tetrahedral duoprisms.
Vertex coordinates[edit | edit source]
The vertices of a partially-expanded demihexeract of edge length 1, are given by all permutations and even changes of sign of the first and last three coordinates of:
Representations[edit | edit source]
- - xo3xx3ox xo3oo3ox&#zx
External links[edit | edit source]
- Klitzing, Richard. "pexhax".