{6,3}_(2,2)

Statistics

genus ^c	1, orientable
Schläfli formula ^c	{6,3}
V / F / E ^c	8 / 4 / 12
notes
vertex, face multiplicity ^c	1, 2
Petrie polygons	6, each with 4 edges
rotational symmetry group	A4×C2, with 24 elements
full symmetry group	S4×C2, with 48 elements
C&D number ^c	R1.t2-2′
The statistics marked ^c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is {3,6}_(2,2).

Its Petrie dual is the cube.

It can be 3-fold covered to give {6,3}_(0,4).

It can be built by 2-splitting the tetrahedron.

It can be rectified to give octahemioctahedron.

List of regular maps in orientable genus 1.

Underlying Graph

Its skeleton is cubic graph.

Cayley Graphs based in this Regular Map

Type II

Type IIa

Other Regular Maps

The image on this page is copyright © 2010 N. Wedd