Coxeter notation
Central inversion
A central inversion, order 2, is operationally differently by dimension. The group [ ]ⁿ = [2ⁿ⁻¹] represents n orthogonal mirrors in n-dimensional space, or an n-flat subspace of a higher dimensional space.

Coxeter notation

Section Title: Central inversion
Table Section Text: A central inversion, order 2, is operationally differently by dimension. The group [ ]ⁿ = [2ⁿ⁻¹] represents n orthogonal mirrors in n-dimensional space, or an n-flat subspace of a higher dimensional space.

Dimension	Coxeter notation	Order	Coxeter diagram	Operation	Generator

2	[2]+	2	180° rotation, C2	{01}

3	[2+,2+]	2	rotoreflection, Ci or S2	{012}

4	[2+,2+,2+]	2	double rotation	{0123}

5	[2+,2+,2+,2+]	2	double rotary reflection	{01234}

6	[2+,2+,2+,2+,2+]	2	triple rotation	{012345}

7	[2+,2+,2+,2+,2+,2+]	2	triple rotary reflection	{0123456}

Sentence(s)

From Coxeter notation, the generator of [2⁺,2⁺,2⁺], is {0123}.

final_sentence: From Coxeter notation, the generator of [2⁺,2⁺,2⁺], is {0123}.