View source for Γ 2,3

{{DISPLAYTITLE:{{mgreek|gamma}} 2,3}}
{{Infobox polytope
| name =
  {{mgreek|gamma|2|3}}
| smore =
  Yes
| img =
  3-generalized-2-cube_skew.svg
| rank =
  2
| dim =
  2
| type =
  [[Regular]]
| space =
  Complex
| cox =
  {{CDD|3node 1|4|node}}
| schlafli =
  {{sub|3}}{4}{{sub|2}}
| edges =
  6 [[3-edge]]s
| vertices =
  9
| flags =
  18
| verf =
  [[Dyad]]
| dual =
  [[β 2,3|{{mgreek|beta|2|3}}]]
| real analog =
  [[Triangular duoprism]]
| symmetry =
  {{sub|3}}[4]{{sub|2}}, order 18
}}
{{Correct title|{{mgreek|gamma|2|3}}}}
'''{{mgreek|gamma|2|3}}''' is a [[regular]] [[complex polygon]]. It is the simplest [[generalized square]] other than the real [[square]].

== Vertex coordinates ==
Vertex coordinates for the generalized square {{mgreek|gamma|2|3}} can be given as:
* <math>\left(\frac{\sqrt3}{3},\,\frac{\sqrt3}{3}\right)</math>,
* <math>\left(-\frac{\sqrt3}{6}\pm\frac{i}2,\,-\frac{\sqrt3}{6}\pm\frac{i}2\right)</math>,
and both permuations of:
* <math>\left(\frac{\sqrt3}{3},\,-\frac{\sqrt3}{6}\pm\frac{i}2\right)</math>,

== Gallery ==
<gallery mode=packed heights=250px>
File:Complex polygon 3-4-2-stereographic3.png|A stereographic projection of {{mgreek|gamma|2|3}}
</gallery>

== Coxeter diagrams ==
A generalized square {{mgreek|gamma|2|3}} can be represented by the following [[Coxeter diagrams]]: 
* {{CDD|3node 1|4|node}} (full symmetry)
* {{CDD|3node 1|2|3node 1}} ({{sub|3}}[2]{{sub|3}} symmetry. [[Prism product]] of two 3-edges.)


{{Hypercube}}
{{Regular polygon}}

[[Category:Regular complex polygons]]