Pentagonal duotruncatoalterprism

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Pentagonal duotruncatoalterprism
Rank4
TypeIsogonal
SpaceSpherical
Elements
Cells25 tetragonal disphenoids, 25 rectangular trapezoprisms, 10 pentagonal prisms, 20 pentagonal cupolas
Faces100 isosceles triangles, 50 rectangles, 100 isosceles trapezoids, 20 pentagons, 10 dipentagons
Edges50+50+100+100
Vertices100
Vertex figureMonoaugmented isosceles trapezoidal pyramid
Measures (edge length 1)
Central density1
Related polytopes
DualPentagonal duotruncatoaltertegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH2≀S2, order 200
ConvexYes
NatureTame

The pentagonal duotruncatoalterprism is a convex isogonal polychoron and the fourth member of the duotruncatoalterprism family. It consists of 10 pentagonal prisms, 20 pentagonal cupolas, 25 rectangular trapezoprisms, and 25 tetragonal disphenoids. 1 pentagonal prism, 3 pentagonal cupolas, 2 rectangular trapezoprisms, and 1 tetragonal disphenoid join at each vertex. obtained as the convex hull of two orthogonal pentagonal-decagonal duoprisms. However, it cannot be made scaliform.