Pentagonal prismatic symmetry

Pentagonal prismatic symmetry
Rank	3
Space	Spherical
Order	20
Info
Coxeter diagram
Elements
Axes	1 × H2×A1, 5 × K2×I
Related polytopes
Omnitruncate	Dipentagonal prism

Pentagonal prismatic symmetry, also known as pippic symmetry and notated as H₂×A₁, is a 3D spherical Coxeter group. It is the symmetry group of the pentagonal prism.

Subgroups

• (H₂×A₁)+
• H₂×I
• H₂+×A₁
• H₂+×I
• K₂×I
• K₂+×I
• A₁×I×I
• I×I×I

Convex polytopes with H₂×A₁ symmetry

• Pentagonal prism (isogonal)/Pentagonal tegum (isotopic)
• Dipentagonal prism (isogonal)/Pentambic tegum (isotopic)