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

• Chiral square symmetry (normal, maximal)
• Rectangular symmetry x2 (normal, maximal)
• Inversion symmetry (normal)
• Reflection symmetry x2
• Identity symmetry (normal)

Convex polytopes with B₂ symmetry

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