Hexagonal-disdyakis dodecahedral duotegum

From Polytope Wiki
Jump to navigation Jump to search
Hexagonal-disdyakis dodecahedral duotegum
Rank5
TypeUniform dual
Notation
Coxeter diagramm6o m4m3m ()
Elements
Tera288 mirror-symmetric pentachora
Cells144+144+144 sphenoids, 288 irregular tetrahedra
Faces36+48+72 isosceles triangles, 48+144+144+144 scalene triangles
Edges6+24+24+24+36+48+72
Vertices6+6+8+12
Vertex figure6 disdyakis dodecahedral tegums, 6 hexagonal-octagonal duotegums, 8 hexagonal duotegums, 12 square-hexagonal duotegums
Measures (edge length 1)
Central density1
Related polytopes
DualHexagonal-great rhombicuboctahedral duoprism
Abstract & topological properties
Flag count34560
Euler characteristic2
OrientableYes
Properties
SymmetryB3×G2, order 576
ConvexYes
NatureTame

The hexagonal-disdyakis dodecahedral duotegum is an isoteric duotegum that consists of 288 mirror-symmetric pentachora and 32 vertices.