{3,6}_(2,2)

Statistics

genus c	1, orientable
Schläfli formula c	{3,6}
V / F / E c	4 / 8 / 12
notes
vertex, face multiplicity c	2, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons	6, each with 4 edges 4, each with 6 edges 6, each with 4 edges 12, each with 2 edges 12, each with 2 edges
antipodal sets	4 of ( v, h2 )
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 {6,3}_(2,2).

Its Petrie dual is C4:{4,6}₃.

It can be 3-fold covered to give {3,6}_(0,4).
It can be 7-fold covered to give {3,6}_(2,6).

It can be 2-split to give S5:{6,6}.

It can be rectified to give octahemioctahedron.

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

List of regular maps in orientable genus 1.

Underlying Graph

Its skeleton is 2 . K₄.

Other Regular Maps

General Index

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