genus c1, orientable
Schläfli formula c{3,6}
V / F / E c 3 / 6 / 9
notesreplete is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c3, 1
Petrie polygons
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
3, each with 6 edges
3, each with 6 edges
9, each with 2 edges
3, each with 6 edges
3, each with 6 edges
antipodal sets3 of ( v, h2 ), 3 of ( p, h3 ), 9 of ( e, p2 )
rotational symmetry groupD6×C3, with 18 elements
full symmetry group36 elements.
C&D number cR1.t0-2
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is {6,3}(0,2).

Its Petrie dual is C5:{6,6}.

It can be 3-fold covered to give {3,6}(3,3).
It can be 7-fold covered to give {3,6}(3,5).
It is a 3-fold cover of {3,6}(1,1).

It can be 2-split to give S4:{6,6}3,2.

It can be rectified to give rectification of {6,3}(0,2).

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

List of regular maps in orientable genus 1.

Underlying Graph

Its skeleton is 3 . K3.

Other Regular Maps

General Index

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