{3,6}_(1,1)

Statistics

genus c	1, orientable
Schläfli formula c	{3,6}
V / F / E c	1 / 2 / 3
notes
vertex, face multiplicity c	6, 3
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons	3, each with 2 edges 1, with 6 edges 3, each with 2 edges 6, each with 1 edges 3, each with 2 edges
antipodal sets	1 of ( 2f ), 3 of ( 2, p1, p2; 2h3 )
rotational symmetry group	C6, with 6 elements
full symmetry group	D12, with 12 elements
C&D number c	R1.t1-1
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is {6,3}_(1,1).

Its Petrie dual is the hemi-6-hosohedron.

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

It can be 2-split to give S2:{6,6}.

It can be rectified to give rectification of {6,3}_(1,1).

It can be truncated to give {6,3}_(0,2).

It can be stellated (with path <2,3;3,2>) to give S3{12,12} . The density of the stellation is 6.

It is a member of series α.
It is a member of series δ'.

List of regular maps in orientable genus 1.

Underlying Graph

Its skeleton is 3 . 1-cycle.

Other Regular Maps

General Index

The images on this page are copyright © 2010 N. Wedd