Pentagonal symmetry

Pentagonal symmetry
Rank	2
Space	Spherical
Order	10
Info
Coxeter diagram
Elements
Axes	5 × A1×I
Related polytopes
Omnitruncate	Dipentagon

Pentagonal symmetry, also known as peggic symmetry and notated as H₂, is a 2D spherical Coxeter group. It is the symmetry group of the pentagon, with 5 rotation and 5 reflection elements.

Subgroups

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

Convex polytopes with H₂ symmetry

• Pentagon (regular)
• Dipentagon (isogonal)/Pentambus (isotopic)