γ 2,∞

γ ∞ 2
Rank	2
Dimension	2
Type	Regular
Space	Complex
Notation
Coxeter diagram
Schläfli symbol	∞{4}2
Elements
Edges	∞ ∞-edges
Vertices	∞
Vertex figure	Dyad
Related polytopes
Real analog	Square tiling
Dual	β ∞ 2
Abstract & topological properties
Flag count	∞
Properties
Flag orbits	1

γ ∞
2  is a regular complex polygon. It is a generalized square.

Since its first generating mirror has infinite order, it does not meet some definitions of a complex polytope.

Coxeter diagrams

A generalized square γ ∞
2  can be represented by the following Coxeter diagrams:

• (full symmetry)
• (prism product of two ∞-edges)

Bibliography

• Orlik, Peter; Reiner, Victor; Shepler, Anne (2002). "The sign representation for Shephard groups" (PDF). Mathematische Annalen. 322 (3): 477–492. arXiv:math/0011105. doi:10.1007/s002080200001.