Hepteractidiminished hexadecaexon

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Hepteractidiminished hexadecaexon
Rank7
TypeScaliform
Notation
Bowers style acronymSadhe
Elements
Exa14 tetrahedral duoprisms, 16 heptadiminished birectified heptapeta
Peta112 triangular-tetrahedral duoprisms, 56 tridiminished rectified hexatera, 56 tetradiminished dodecatera
Tera168 tetrahedral prisms, 224 triangular duoprisms, 336 bidiminished rectified pentachora
Cells112 tetrahedra, 336 square pyramids, 672 triangular prisms
Faces448 triangles, 84+336 squares
Edges336
Vertices56
Vertex figureTetrahedral duoprism, edge length 1
Measures (edge length 1)
Circumradius1
Height
Central density1
Number of external pieces30
Related polytopes
ArmySadhe
RegimentSadhe
ConjugateNone
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
Symmetryorder 2688
ConvexYes
NatureTame

The hepteractidiminished hexadecaexon, or sadhe, is a convex scaliform polyexon. It consists of 14 tetrahedral duoprisms and 16 heptadiminished birectified heptapeta. 4 tetrahedral duoprisms and 8 heptadiminished birectified heptapeta meet at each vertex. As the name suggests, it can be created by removing an inscribed hecatonicosoctaexon's vertices from a hexadecaexon.

It is also a convex segmentoexon, as heptadiminished birectified heptapeton atop inverted heptadiminished birectified heptapeton.

A hepteractidiminished hexadecaexon} can be vertex-inscribed into the pentacontahexapentacosiheptacontahexaexon (also known as the 231 polytope).

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