Dodecagonal-pentagonal icositetrahedral duotegum

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Dodecagonal-pentagonal icositetrahedral duotegum
Rank5
TypeUniform dual
Notation
Coxeter diagramm12o2p4p3p ()
Elements
Tera288 mirror-symmetric pentagonal scalenes
Cells144 digonal disphenoids, 288+288 sphenoids, 288 irregular pentagonal pyramids
Faces72+96+144+288 isosceles triangles, 288+288 scalene triangles, 24 irregular pentagons
Edges12+12+24+24+72+96+288
Vertices6+8+12+24
Vertex figure12 pentagonal icositetrahedral tegums, 6 square-dodecagonal duotegums, 8+24 triangular-dodecagonal duotegums
Measures (edge length 1)
Central density1
Related polytopes
DualDodecagonal-snub cubic duoprism
Abstract & topological properties
Flag count57600
Euler characteristic2
OrientableYes
Properties
SymmetryB3+×I2(12), order 576
ConvexYes
NatureTame

The dodecagonal-pentagonal icositetrahedral duotegum is an isoteric duotegum that consists of 288 mirror-symmetric pentagonal scalenes and 50 vertices.