genus c1, orientable
Schläfli formula c{3,6}
V / F / E c 13 / 26 / 39
notesChiral replete singular is a polyhedral map permutes its vertices evenly
vertex, face multiplicity c1, 1
Petrie polygons
2nd-order Petrie polygons
3rd-order holes
3, each with 26 edges
13, each with 6 edges
3, each with 26 edges
6, each with 13 edges
antipodal sets13 of ( v, h2 )
rotational symmetry groupC13⋊C6, with 78 elements
full symmetry group78 elements.
C&D number cC1.t2-4
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is {6,3}(2,4).

It can be 3-fold covered to give {3,6}(3,7).

It can be 2-split to give C14.1′.

It can be rectified to give rectification of {6,3}(2,4).

It can be truncated to give {6,3}(3,7).

List of regular maps in orientable genus 1.

Underlying Graph

Its skeleton is Paley order-13 graph.

Other Regular Maps

General Index

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