# Skew pentagon

Skew pentagon Rank2
TypeRegular
Space3D Euclidean space
Notation
Schläfli symbol$\{5\}\#\{\}$ $\{5\}\#\{2\}$ $\left\{\dfrac{10}{2,5}\right\}$ Elements
Edges10
Vertices10
Related polytopes
ArmyPip
Convex hullPentagonal prism
Abstract & topological properties
Euler characteristic0
Schläfli type{10}
OrientableYes
Properties
SymmetryH2×A1, order 20
ConvexNo
Dimension vector(2,1)

The skew pentagon is a regular skew polygon in 3D Euclidean space. Despite its name it has 10 sides and 10 vertices. It is the result of blending a pentagon with a digon. Since the pentagon is not 2-colorable the result has twice as many vertices and edges as the pentagon. It consists of the 10 lateral edges of a pentagrammic antiprism.
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