Pentagonal gyroprism

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Pentagonal gyroprism
Rank3
TypeIsogonal
Notation
Bowers style acronymPegyp
Coxeter diagrams2s5s
Elements
Faces10 scalene triangles, 2 pentagons
Edges5+5+10
Vertices10
Vertex figureIrregular tetragon
Measures (edge length 1)
Central density1
Related polytopes
ArmyPegyp
RegimentPegyp
DualPentagonal gyrotegum
Abstract & topological properties
Euler characteristic2
SurfaceSphere
OrientableYes
Genus0
Properties
Symmetry(H2×A1)+, order 10
ConvexYes
NatureTame

The pentagonal gyroprism, or pegyp is a pentagon-based gyroprism, a variant of the pentagonal antiprism where the bases are rotated by an angle other than 36°, and has 10 scalene triangles for its sides instead of isosceles triangles. It can be formed by alternating a dipentagonal prism.