Decagonal symmetry

Decagonal symmetry, also known as deggic symmetry and notated as I₂(10), is a 2D spherical Coxeter group. It is the symmetry group of the decagon, with 10 rotation and 10 reflection elements.

Decagonal symmetry
Rank	2
Space	Spherical
Order	20
Info
Coxeter diagram
Elements
Axes	10 × A1
Related polytopes
Omnitruncate	Didecagon

Subgroups

• Chiral decagonal symmetry (maximal)
• Pentagonal symmetry (maximal)
• Chiral pentagonal symmetry
• Rectangular symmetry (maximal)
• Inversion symmetry
• Reflection symmetry
• Identity symmetry

Convex polytopes with I₂(10) symmetry

• Decagon (regular)
• Didecagon (isogonal)/Decambus (isotopic)