Retropenteractihexadecateron

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Retropenteractihexadecateron
File:Retropenteractihexadecateron.png
Rank5
TypeUniform
Notation
Bowers style acronymRinah
Elements
Tera10 hexadecachora, 16 faceted rectified pentachora
Cells40+80 tetrahedra, 80 triangular prisms
Faces160 triangles, 60 squares
Edges80
Vertices16
Vertex figureFaceted prismatointercepted pentachoron
Measures (edge length 1)
Circumradius10/4 ≈ 0.79057
Related polytopes
ArmyHin
RegimentHin
Properties
SymmetryD5, order 1920
ConvexNo

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]