genus c1, orientable
Schläfli formula c{6,3}
V / F / E c 24 / 12 / 36
notesreplete singular is a polyhedral map permutes its vertices evenly
vertex, face multiplicity c1, 1
Petrie polygons
6, each with 12 edges
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 {3,6}(0,4).

Its Petrie dual is S4:{12,3}.

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

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

It can be obtained by truncating {3,6}(2,2).

List of regular maps in orientable genus 1.

Underlying Graph

Its skeleton is Nauru graph.

Cayley Graphs based in this Regular Map

Type I


Other Regular Maps

General Index

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