Heptagonal-disdyakis triacontahedral duotegum

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Heptagonal-disdyakis triacontahedral duotegum
Rank5
TypeUniform dual
Notation
Coxeter diagramm7o2m5m3m
Elements
Tera840 mirror-symmetric pentachora
Cells420+420+420 sphenoids, 840 irregular tetrahedra
Faces84+140+210 isosceles triangles, 120+420+420+420 scalene triangles
Edges7+60+60+60+84+140+210
Vertices7+12+20+30
Vertex figure7 disdyakis triacontahedral tegums, 12 heptagonal-decagonal duotegums, 20 hexagonal-heptagonal duotegums, 30 square-heptagonal duotegums
Measures (edge length 1)
Central density1
Related polytopes
DualHeptagonal-great rhombicosidodecahedral duoprism
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryH3×I2(7), order 1680
ConvexYes
NatureTame

The heptagonal-disdyakis triacontahedral duotegum is an isoteric duotegum that consists of 840 mirror-symmetric pentachora and 69 vertices.