starting with [3^1,1,1] or [3,3^1,1] = or as D₄. Coxeter allowed for zeros as special cases to fit the A_n family, like A₃ = [3,3,3,3] = [3^4,0,0] = [3^4,0] = [3^3,1] = [3^2,2], like = = .

Coxeter groups formed by cyclic diagrams are represented by parentheses inside of brackets, like [(p,q,r)] = for the triangle group (p q r). If the branch orders are equal, they can be grouped as an exponent as the