Pyritohedral antitegum
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Pyritohedral antitegum | |
---|---|
Rank | 4 |
Type | Isotopic |
Notation | |
Coxeter diagram | p2o4p3p |
Elements | |
Cells | 24 triangular-pentagonal antinotches |
Faces | 48 scalene triangles, 12 rhombi, 12+24 kites |
Edges | 16+24+24+48 |
Vertices | 2+6+8+24 |
Vertex figure | 24 sphenoids, 6 tetragonal disphenoids, 8 triangular gyrotegums, 2 pyritohedra |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Pyritohedral icosahedral antiprism |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | (B3/2×2×A1)/2, order 48 |
Convex | Yes |
Nature | Tame |
The pyritohedral antitegum is a convex isochoric polychoron with 24 triangular-pentagonal antinotches as cells. It is dual to the pyritohedral icosahedral antiprism.
Each cell of this polychoron has mirror symmetry, with 1 rhombus, 3 kites, and 4 scalene triangles for faces.
Isogonal derivatives[edit | edit source]
Substitution by vertices of these following elements will produce these convex isogonal polychora:
- Triangular-pentagonal gyronotch (24): Pyritohedral icosahedral antiprism
- Kite (12): Octahedral prism
- Kite (24): Pyritohedral icosahedral antiprism
- Scalene triangle (48): Pyritosnub alterprism
- Edge (16): Tesseract
- Edge (24): Pyritohedral icosahedral antiprism
- Edge (48): Pyritosnub alterprism
- Vertex (24): Pyritohedral icosahedral antiprism