Tetracontoctadiminished birectified hexeract

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Tetracontoctadiminished birectified hexeract
Rank6
TypeScaliform
Notation
Bowers style acronymCodibrox
Elements
Peta12 hexadecadiminished penteractitriacontaditera, 48 square-tetrahedral duoprisms, 64 tridiminished rectified hexatera
Tera192 tetrahedral prisms, 384 bidiminished rectified pentachora, 192 triangular-square duoprisms, 12 tesseracts, 48 cyclotetraaugmented tesseracts
Cells192 tetrahedra, 768 square pyramids, 768 triangular prisms, 96+192 cubes, 64 octahedra
Faces512+768 triangles, 96+192+768 squares
Edges384+768
Vertices192
Measures (edge length 1)
Circumradius
Diexal anglestedrix–bidrap–hidnit:
 hidnit-tes-hidnit: 90°
 hidnit-cytau tes-hidnit: 90°
Central density1
Number of external pieces124
Related polytopes
ArmyCodibrox
RegimentCodibrox
ConjugateNone
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryB2≀S3, order 3072
ConvexYes
NatureTame

The tetracontoctadiminished birectified hexeract, or codibrox, is a convex scaliform polypeton. It has 12 hexadecadiminished penteractitriacontaditera, 48 square-tetrahedral duoprisms, and 64 tridiminished rectified hexatera as facets; four of each facet type meet at each vertex.

Vertex coordinates[edit | edit source]

The unit tetracontoctadiminished birectified hexeract's vertex coordinates are given by the following, with all permutations of the respective first, second, and third (1,0) pairs:

External links[edit | edit source]