Dodecagonal duotruncatoalterprism

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Dodecagonal duotruncatoalterprism
Rank4
TypeIsogonal
Elements
Cells144 tetragonal disphenoids, 144 rectangular trapezoprisms, 24 dodecagonal prisms, 48 dodecagonal cupolas
Faces576 isosceles triangles, 576 isosceles trapezoids, 288 rectangles, 48 dodecagons, 24 didodecagons
Edges288+288+576+576
Vertices576
Vertex figureMonoaugmented isosceles trapezoidal pyramid
Measures (edge length 1)
Central density1
Related polytopes
DualDodecagonal duotruncatoaltertegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(12)≀S2, order 1152
ConvexYes
NatureTame

The dodecagonal duotruncatoalterprism is a convex isogonal polychoron and the eleventh member of the duotruncatoalterprism family. It consists of 24 dodecagonal prisms, 48 dodecagonal cupolas, 144 rectangular trapezoprisms, and 144 tetragonal disphenoids. 1 dodecagonal prism, 3 dodecagonal cupolas, 2 rectangular trapezoprisms, and 1 tetragonal disphenoid join at each vertex. It can be obtained as the convex hull of two orthogonal dodecagonal-didodecagonal duoprisms. However, it cannot be made scaliform.