Hexadecadiminished birectified hexacontatetrapeton

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Hexadecadiminished birectified hexacontatetrapeton
Rank6
TypeScaliform
Notation
Bowers style acronymHidbrag
Coxeter diagramxo4ox3oo ox4xo3oo&#zx
Elements
Peta12 cyclotetradiminished rectified triacontaditera, 16 triangular-octahedral duoprisms, 64 triangular duoantifastegiaprisms
Tera128 triangular duoprisms, 192+384 triangular antifastegia, 36 hexadecachora, 48 octahedral prisms
Cells144+576 tetrahedra, 576 square pyramids, 192+384 triangular prisms, 24 octahedra
Faces96+192+576+1152 triangles, 576 squares
Edges288+288+576
Vertices144
Measures (edge length 1)
Circumradius
Central density1
Number of external pieces92
Related polytopes
ArmyHidbrag
RegimentHidbrag
ConjugateNone
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
Symmetryorder 4608
ConvexYes
NatureTame

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]