Braid Group Visualizer

Compose generators σ₁, σ₂, σ₃ and their inverses — the fundamental algebraic objects behind knot theory and topology.

The braid group Bₙ has generators σ₁…σₙ₋₁ satisfying the Reidemeister relations: σᵢσⱼ=σⱼσᵢ (|i−j|>1), σᵢσᵢ₊₁σᵢ=σᵢ₊₁σᵢσᵢ₊₁.