β 2,3

β 3 2
Rank	2
Dimension	2
Space	Complex
Notation
Coxeter diagram
Schläfli symbol	2{4}3
Elements
Edges	9 2-edges
Vertices	6
Vertex figure	3-edge
Related polytopes
Real analog	Triangular duotegum
Dual	γ 3 2
Abstract & topological properties
Flag count	18
Properties
Flag orbits	1

β 3
2  is a regular complex polygon. It is the simplest generalized 2-orthoplex other than the real square.

Vertex coordinates

Vertex coordinates for β 3
2  of unit edge length can be given as all permutations of:

• $\left(-{\frac {\sqrt {3}}{6}}\pm i{\frac {1}{2}},\,0\right)$,
• $\left({\frac {\sqrt {3}}{3}},\,0,\right)$.