Retropenteractihexadecateron
(Redirected from Retrointercepted hexadecateron)
Retropenteractihexadecateron | |
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File:Retropenteractihexadecateron.png | |
Rank | 5 |
Type | Uniform |
Notation | |
Bowers style acronym | Rinah |
Elements | |
Tera | 10 hexadecachora, 16 faceted rectified pentachora |
Cells | 40+80 tetrahedra, 80 triangular prisms |
Faces | 160 triangles, 60 squares |
Edges | 80 |
Vertices | 16 |
Vertex figure | Faceted prismatointercepted pentachoron |
Measures (edge length 1) | |
Circumradius | √10/4 ≈ 0.79057 |
Related polytopes | |
Army | Hin |
Regiment | Hin |
Properties | |
Symmetry | D5, order 1920 |
Convex | No |
The retropenteractihexadecateron or rinah is a uniform polyteron consisting of 10 hexadecachora and 16 faceted rectified pentachora. 5 hexadecachora and 10 faceted rectified pentachora meet each of its vertices.
Because the faceted rectified pentachora contain tetrahedra and their octahedral pseudo-cells are buried under its hexadecachora, the retropenteractihexadecateron is superficially identical to the hexadecapenteract.
Vertex coordinates[edit | edit source]
The vertex coordinates of a retropenteractihexadecateron are given by all even sign changes of:
External links[edit | edit source]
- Bowers, Jonathan. "Primary Polytera"
- Klitzing, Richard. "Rinah"
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