Pentacontahexadiminished birectified hecatonicosoctaexon

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Pentacontahexadiminished birectified hecatonicosoctaexon
Rank7
TypeScaliform
Notation
Bowers style acronymLidbarz
Elements
Exa14 hexeractidiminished rectified hexacontatetrapeta, 56 triangular-hexadecachoric duoprisms, 128 heptadiminished birectified heptapeta
Peta896 triangular-tetrahedral duoprisms, 896 tridiminished rectified hexatera, 448 tetradiminished dodecatera, 168 hexadecachoric prisms
Tera2688 tetrahedral prisms, 1792 triangular duoprisms, 672+2688 bidiminished rectified pentachora, 84 hexadecachora
Cells112+1344 tetrahedra, 2688 square pyramids, 1344+5376 triangular prisms
Faces448+448+2688 triangles, 672+2688 squares
Edges672+1344
Vertices224
Measures (edge length 1)
Circumradius
Central density1
Number of external pieces198
Related polytopes
ArmyLidbarz
RegimentLidbarz
ConjugateNone
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
Symmetryorder 21504
ConvexYes
NatureTame

The pentacontahexadiminished birectified hecatonicosoctaexon or lidbarz is a convex scaliform polyexon. It consists of 14 hexeractidiminished rectified hexacontatetrapeta, 56 triangular-hexadecachoric duoprisms, and 128 heptadiminished birectified heptapeta. 3 hexeractidiminished rectified hexacontatetrapeta, 6 triangular-hexadecachoric duoprisms, and 16 birectified heptapeta meet at each vertex.

One can create this polyexon by removing 56 vertices (corresponding to an inscribed hecatonicosihexapentacosiheptacontahexaexon) from a birectified hecatonicosoctaexon.

Vertex coordinates[edit | edit source]

The vertices of a pentacontahexadiminished birectified hecatonicosoctaexon of edge length 1, centered at the origin, are given by cyclic permutations of:

External links[edit | edit source]