Triangular symmetry

Triangular symmetry
Rank	2
Space	Spherical
Order	6
Info
Coxeter diagram
Elements
Axes	3 × A1×I
Related polytopes
Omnitruncate	Ditrigon

Triangular symmetry, also known as triggic symmetry and notated as A₂, is a 2D spherical Coxeter group. It is the symmetry group of the equilateral triangle, and has 3 rotation and 3 reflection elements.

Subgroups

• Chiral triangular symmetry (normal, maximal)
• Reflection symmetry (maximal)
• Identity symmetry (normal)

Convex polytopes with A₂ symmetry

• Triangle (regular)
• Ditrigon (isogonal)/Triambus (isotopic)