Enneagonal-disdyakis dodecahedral duotegum

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Enneagonal-disdyakis dodecahedral duotegum
Rank5
TypeUniform dual
Elements
Tera432 mirror-symmetric pentachora
Cells216+216+216 sphenoids, 432 irregular tetrahedra
Faces54+72+108 isosceles triangles, 48+216+216+216 scalene triangles
Edges9+24+24+24+54+72+108
Vertices6+8+9+12
Vertex figure9 disdyakis dodecahedral tegums, 6 octagonal-enneagonal duotegums, 8 hexagonal-enneagonal duotegums, 12 square-enneagonal duotegums
Measures (edge length 1)
Central density1
Related polytopes
DualEnneagonal-great rhombicuboctahedral duoprism
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryB3×I2(9), order 864
ConvexYes
NatureTame

The enneagonal-disdyakis dodecahedral duotegum is an isoteric duotegum that consists of 432 mirror-symmetric pentachora and 35 vertices.