Hexadecadiminished birectified hexacontatetrapeton
Hexadecadiminished birectified hexacontatetrapeton | |
---|---|
Rank | 6 |
Type | Scaliform |
Notation | |
Bowers style acronym | Hidbrag |
Coxeter diagram | xo4ox3oo ox4xo3oo&#zx |
Elements | |
Peta | 12 cyclotetradiminished rectified triacontaditera, 16 triangular-octahedral duoprisms, 64 triangular duoantifastegiaprisms |
Tera | 128 triangular duoprisms, 192+384 triangular antifastegia, 36 hexadecachora, 48 octahedral prisms |
Cells | 144+576 tetrahedra, 576 square pyramids, 192+384 triangular prisms, 24 octahedra |
Faces | 96+192+576+1152 triangles, 576 squares |
Edges | 288+288+576 |
Vertices | 144 |
Measures (edge length 1) | |
Circumradius | |
Central density | 1 |
Number of external pieces | 92 |
Related polytopes | |
Army | Hidbrag |
Regiment | Hidbrag |
Conjugate | None |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | order 4608 |
Convex | Yes |
Nature | Tame |
The hexadecadiminished birectified hexacontatetrapeton, or hidbrag, is a convex scaliform polypeton. It consists of 12 cyclotetradiminished rectified triacontaditera, 16 triangular-octahedral duoprisms, and 64 triangular duoantifastegiaprisms. 3 cyclotetradiminished rats, 2 triangular-octahedral duoprisms, and 8 triangular duoantifastegiaprisms meet at each vertex.
This polypeton can be constructed by removing 16 vertices (corresponding to two mutually-perpendicular cubes) from a birectified hexacontatetrapeton, or by taking the convex hull of two octahedral-cuboctahedral duoprisms.
Vertex coordinates[edit | edit source]
The vertices of a unit hexadecadiminished birectified hexacontatetrapeton are given by the following, including all permutations of the first and/or second three values:
External links[edit | edit source]
- Klitzing, Richard. "hidbrag".