Truncated Möbius-Kantor polygon

Truncated Möbius-Kantor polygon
Rank	2
Type	Regular
Space	Complex
Notation
Coxeter diagram
Schläfli symbol	$_{3}\{6\}_{2}$
Elements
Edges	16 3-edges
Vertices	24
Vertex figure	Dyad
Related polytopes
Dual	2{6}3
Abstract & topological properties
Flag count	48
Configuration symbol	(163, 242)
Properties
Symmetry	2[6]3, order 48

The truncated Möbius-Kantor polygon is a regular complex polygon.

Coxeter diagrams

A truncated Möbius-Kantor polygon can be represented by the following Coxeter diagrams:

• (full symmetry)
• (₃[3]₃ symmetry)

Related polytopes

If the vertices of the truncated Möbius-Kantor polygon are treated as vertices in $\mathbb {R} ^{4}$ rather than $\mathbb {C} ^{2}$, they are identical to those of the 24-cell. And if its 3-edges are replaced with triangles in the Euclidean space they form a symmetric subset of the faces of the 24-cell.

External links

• Klitzing, Richard. x₃-3-x₃
• Klitzing, Richard. x_p-2q-o₂