Heptagonal-pentagonal icositetrahedral duotegum

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Heptagonal-pentagonal icositetrahedral duotegum
Rank5
TypeUniform dual
Notation
Coxeter diagramm7o2p4p3p ()
Elements
Tera168 mirror-symmetric pentagonal scalenes
Cells84 digonal disphenoids, 168+168 sphenoids, 168 irregular pentagonal pyramids
Faces42+56+84+168 isosceles triangles, 168+168 scalene triangles, 24 irregular pentagons
Edges7+12+24+24+42+56+168
Vertices6+7+8+24
Vertex figure7 pentagonal icositetrahedral tegums, 6 square-heptagonal duotegums, 8+24 triangular-heptagonal duotegums
Measures (edge length 1)
Central density1
Related polytopes
DualHeptagonal-snub cubic duoprism
Abstract & topological properties
Flag count33600
Euler characteristic2
OrientableYes
Properties
SymmetryB3+×I2(7), order 336
ConvexYes
NatureTame

The heptagonal-pentagonal icositetrahedral duotegum is an isoteric duotegum that consists of 168 mirror-symmetric pentagonal scalenes and 45 vertices.