Möbius-Kantor polygon

The  is a regular complex polygon. It has 8 3-edges and 8 vertices.

Related polytopes
The is closely related to the Möbius–Kantor configuration, with the two having the same abstract structure.

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

The Hessian polyhedron, has the as its faces and vertex figure.