Hexagonal-pentakis dodecahedral duotegum

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Hexagonal-pentakis dodecahedral duotegum
Rank5
TypeUniform dual
Notation
Coxeter diagramm6o2o5m3m
Elements
Tera360 digonal disphenoidal pyramids
Cells180 digonal disphenoids, 360+360 sphenoids
Faces60+72+120+180 isosceles triangles, 360 scalene triangles
Edges6+30+60+72+120
Vertices6+12+20
Vertex figure6 pentakis dodecahedral tegums, 20 hexagonal-hexagonal duotegums, 12 pentagonal-hexagonal duotegums
Measures (edge length 1)
Central density1
Related polytopes
DualHexagonal-truncated icosahedral duoprism
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryH3×G2, order 1440
ConvexYes
NatureTame

The hexagonal-pentakis dodecahedral duotegum is an isoteric duotegum that consists of 360 digonal disphenoidal pyramids and 38 vertices.