genus c1, orientable
Schläfli formula c{3,6}
V / F / E c 12 / 24 / 36
notesreplete singular is a polyhedral map permutes its vertices oddly
vertex, face multiplicity c1, 1
Petrie polygons
2nd-order Petrie polygons
3rd-order holes
6, each with 12 edges
12, each with 6 edges
18, each with 4 edges
12, each with 6 edges
antipodal sets12 of ( v, h2 )
rotational symmetry groupA4×D6, with 72 elements
full symmetry group144 elements.
C&D number cR1.t0-4
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is {6,3}(0,4).

Its Petrie dual is N20.3′.

It is a 3-fold cover of {3,6}(2,2).

It can be 2-split to give R13.9′.
It can be 4-split to give R37.29′.
It can be 5-split to give R49.51′.
It can be 7-split to give R73.59′.
It can be 8-split to give R85.32′.

It can be rectified to give rectification of {6,3}(0,4).

It can be truncated to give {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