# Cellintercepted dishexateron

Cellintercepted dishexateron
Rank5
TypeUniform
Notation
Bowers style acronymCindax
Elements
Tera6 pentachora, 15 tetrahedral prisms, 6 prismatointercepted pentachora
Cells30 tetrahedra, 60 triangular prisms, 15 octahedra
Faces20+60 triangles, 45 squares
Edges60
Vertices15
Measures (edge length 1)
Circumradius${\displaystyle {\frac {\sqrt {6}}{3}}\approx 0.81650}$
Hypervolume${\displaystyle {\frac {13{\sqrt {3}}}{120}}\approx 0.18764}$
Diteral anglesPinnip–oct–pinnip: ${\displaystyle \arccos \left({\frac {1}{5}}\right)\approx 78.46304^{\circ }}$
Pinnip–trip–tepe: ${\displaystyle \arccos \left({\frac {\sqrt {10}}{10}}\right)\approx 71.56505^{\circ }}$
Pen–tet–tepe: ${\displaystyle \arccos \left({\frac {\sqrt {10}}{5}}\right)\approx 50.76848^{\circ }}$
Related polytopes
ArmyRix
RegimentRix
ConjugateNone
Abstract & topological properties
Flag count7200
OrientableYes
Properties
SymmetryA5, order 720
ConvexNo
NatureWild

The cellintercepted dishexateron,or cindax, is a nonconvex uniform polyteron. It consists of 6 prismatointercepted pentachora, 6 pentachora, and 15 tetrahedral prisms. 2 pentachora, 4 prismatointercepted pentachora and 8 tetrahedral prisms join at each vertex.

## Vertex coordinates

Its vertices are the same as those of its regiment colonel, the rectified hexateron.