Sphenoidal-pyramidal enneacosihexecontateron

From Polytope Wiki
Jump to navigation Jump to search
Sphenoidal-pyramidal enneacosihexecontateron
Rank5
TypeUniform dual
Notation
Coxeter diagramm3m3o *b3m3m
Elements
Tera960 sphenoidal pyramids
Cells480+480+480 sphenoids, 960 irregular tetrahedra
Faces160+240+240 isosceles triangles, 320+320+320+480 scalene triangles
Edges80+80+80+80+80+160+160
Vertices10+16+16+40
Vertex figure10 disphenoidal enneacontahexachora, 16 disphenoidal hecatonicosachora, 16 sphenoidal hexecontachora, 40 triakis tetrahedral tegum
Measures (edge length 1)
Diteral angle
Central density1
Related polytopes
DualGreat prismatodemipenteract
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryD5, order 1920
ConvexYes
NatureTame

The sphenoidal-pyramidal enneacosihexecontateron is a convex isoteric polyteron with 960 identical sphenoidal pyramids as tera. It can be obtained as the dual of the great prismatodemipenteract.