Hexagonal-disdyakis triacontahedral duotegum

From Polytope Wiki
Jump to navigation Jump to search
Hexagonal-disdyakis triacontahedral duotegum
Rank5
TypeUniform dual
Notation
Coxeter diagramm6o2m5m3m
Elements
Tera720 mirror-symmetric pentachora
Cells360+360+360 sphenoids, 720 irregular tetrahedra
Faces72+120+180 isosceles triangles, 120+360+360+360 scalene triangles
Edges6+60+60+60+72+120+180
Vertices6+12+20+30
Vertex figure6 disdyakis triacontahedral tegums, 12 hexagonal-decagonal duotegums, 20 hexagonal-hexagonal duotegums, 30 square-hexagonal duotegums
Measures (edge length 1)
Central density1
Related polytopes
DualHexagonal-great rhombicosidodecahedral duoprism
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryH3×G2, order 1440
ConvexYes
NatureTame

The hexagonal-disdyakis triacontahedral duotegum is an isoteric duotegum that consists of 720 mirror-symmetric pentachora and 68 vertices.