Editing 16-cell (section)

== Related complex polygons ==
The [[Möbius–Kantor polygon]] is a [[regular complex polytope|regular complex polygon]] <sub>3</sub>{3}<sub>3</sub>, {{CDD|3node_1|3|3node}}, in <math>\mathbb{C}^2</math> shares the same vertices as the 16-cell. It has 8 vertices, and 8 3-edges.{{Sfn|Coxeter|1991|pp=30,47}}{{Sfn|Coxeter|Shephard|1992}}

The regular complex polygon, <sub>2</sub>{4}<sub>4</sub>, {{CDD|node_1|4|4node}}, in <math>\mathbb{C}^2</math> has a real representation as a 16-cell in 4-dimensional space with 8 vertices, 16 2-edges, only half of the edges of the 16-cell.  Its symmetry is <sub>4</sub>[4]<sub>2</sub>, order 32.{{Sfn|Coxeter|1991|p=108}}

{| class=wikitable width=320
|+ [[Orthographic projection]]s of <sub>2</sub>{4}<sub>4</sub> polygon
|- valign=top
|[[File:Complex polygon 2-4-4.png|160px]]<br />In B<sub>4</sub> [[Coxeter plane]], <sub>2</sub>{4}<sub>4</sub> has 8 vertices and 16 2-edges, shown here with 4 sets of colors.
|[[File:Complex polygon 2-4-4 bipartite graph.png|160px]]<br />The 8 vertices are grouped in 2 sets (shown red and blue), each only connected with edges to vertices in the other set, making this polygon a [[complete bipartite graph]], K<sub>4,4</sub>.{{Sfn|Coxeter|1991|p=114}}
|}