Triangular-pentagonal icositetrahedral duotegum

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Triangular-pentagonal icositetrahedral duotegum
Rank5
TypeUniform dual
Notation
Coxeter diagramm3o2p4p3p ()
Elements
Tera72 mirror-symmetric pentagonal scalenes
Cells36 digonal disphenoids, 72+72 sphenoids, 72 irregular pentagonal pyramids
Faces18+24+36+72 isosceles triangles, 72+72 scalene triangles, 24 irregular pentagons
Edges3+12+18+24+24+24+72
Vertices3+6+8+24
Vertex figure3 pentagonal icositetrahedral tegums, 6 triangular-square duotegums, 8+24 triangular-triangular duotegums
Measures (edge length 1)
Central density1
Related polytopes
DualTriangular-snub cubic duoprism
Abstract & topological properties
Flag count14400
Euler characteristic2
OrientableYes
Properties
SymmetryB3+×A2, order 144
ConvexYes
NatureTame

The triangular-pentagonal icositetrahedral duotegum is an isoteric duotegum that consists of 72 mirror-symmetric pentagonal scalenes and 41 vertices.