Pentagonal antipodium

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Pentagonal antipodium
Rank3
Notation
Bowers style acronymPapo
Coxeter diagramxo5oy&#z
Elements
Faces5+5 isosceles triangles, 1+1 pentagons
Edges5+5+10
Vertices5+5
Vertex figureIsosceles trapezoid (two types)
Measures (edge length 1)
Central density1
Related polytopes
DualPyramidal-symmetric pentagonal antitegum
Abstract & topological properties
Flag count80
Euler characteristic2
SurfaceSphere
OrientableYes
Genus0
Properties
SymmetryH2×I, order 10
ConvexYes
NatureTame

The pentagonal antipodium or papo is a variant of the pentagonal antiprism where the bases are different sized pentagons. It generally has 2 pentagons as bases connected by 5+5 isosceles triangles.

In vertex figures[edit | edit source]

The pentagonal antipodium appears as the vertex figure of the prismatodishecatonicosachoron, a nonconvex uniform polychoron.