{3,6}(6,6)

Statistics

genus c1, orientable
Schläfli formula c{3,6}
V / F / E c 36 / 72 / 108
notesreplete singular is a polyhedral map permutes its vertices evenly
vertex, face multiplicity c1, 1
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
18, each with 12 edges
36, each with 6 edges
18, each with 12 edges
36, each with 6 edges
antipodal sets36 of ( v, h2 )
rotational symmetry group216 elements.
full symmetry group432 elements.
C&D number cR1.t6-6
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

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

Its Petrie dual is N56.4′.

It can be 2-split to give R37.24′.

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

List of regular maps in orientable genus 1.


Other Regular Maps

General Index

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