Pentapod

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Pentapod
Rank2
TypeSemi-uniform
Notation
Bowers style acronymPepod
Coxeter diagramx5/4y
Elements
Edges5+5
Vertices10
Vertex figureDyad
Measures (edge lengths a , b )
Circumradius
Angle36°
Related polytopes
ArmyDipeg
DualConcave pentambus
Abstract & topological properties
Flag count20
OrientableYes
Properties
SymmetryH2, order 10
ConvexNo
NatureTame

The pentapod is a semi-uniform polygon that has 10 sides of two different edge lengths. The angles of a pentapod are always 36 degrees. It is a faceting of the dipentagon.

A pentapod generally has the Coxeter diagram x5/4y, where the ratio between the two edge classes is greater than . If the ratio is less than this value, another semi-uniform polygon called the distellagon results. If the edge ratio is exactly , the degenerate complex dipentagon forms, which looks like a pentagon and pentagram sharing the same vertex set.

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