Hexagonal-triakis icosahedral duotegum

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Hexagonal-triakis icosahedral duotegum
Rank5
TypeUniform dual
Notation
Coxeter diagramm6o2m5m3o
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 triakis icosahedral tegums, 12 hexagonal-decagonal duotegums, 20 triangular-hexagonal duotegums
Measures (edge length 1)
Central density1
Related polytopes
DualHexagonal-truncated dodecahedral duoprism
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryH3×G2, order 1440
ConvexYes
NatureTame

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