Square symmetry

Square symmetry
Rank	2
Space	Spherical
Order	8
Info
Coxeter diagram
Elements
Axes	4 × A1
Related polytopes
Omnitruncate	Ditetragon

Square symmetry, also notated as B₂ or BC₂, is a 2D spherical Coxeter group. It is the symmetry group of the square, with 4 rotation and 4 reflection elements.

Subgroups

• B₂+ (maximal)
• K₂ (maximal)
• K₂+
• A₁×I
• I×I

Convex polytopes with B₂ symmetry

• Square (regular)
• Ditetragon (isogonal)/Tetrambus (isotopic)