Hexagonal duotruncatoalterprism

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Hexagonal duotruncatoalterprism
Rank4
TypeIsogonal
Elements
Cells36 tetragonal disphenoids, 36 rectangular trapezoprisms, 12 hexagonal prisms, 24 hexagonal cupolas
Faces144 isosceles triangles, 144 isosceles trapezoids, 72 rectangles, 24 hexagons, 12 dihexagons
Edges72+72+144+144
Vertices144
Vertex figureMonoaugmented isosceles trapezoidal pyramid
Measures (edge length 1)
Central density1
Related polytopes
DualHexagonal duotruncatoaltertegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryG2≀S2, order 288
ConvexYes
NatureTame

The hexagonal duotruncatoalterprism is a convex isogonal polychoron and the fifth member of the duotruncatoalterprism family. It consists of 12 hexagonal prisms, 24 hexagonal cupolas, 36 rectangular trapezoprisms, and 36 tetragonal disphenoids. 1 hexagonal prism, 3 hexagonal cupolas, 2 rectangular trapezoprisms, and 1 tetragonal disphenoid join at each vertex. It can be obtained as the convex hull of two orthogonal hexagonal-dihexagonal duoprisms. However, it cannot be made scaliform.