genus c1, orientable
Schläfli formula c{6,3}
V / F / E c 42 / 21 / 63
notesChiral replete singular is a polyhedral map permutes its vertices oddly
vertex, face multiplicity c1, 1
Petrie polygons
3, each with 42 edges
rotational symmetry groupC21⋊C6 ≅ (C7⋊C6)×C3, with 126 elements
full symmetry groupC21⋊C6 ≅ (C7⋊C6)×C3, with 126 elements
C&D number cC1.t3-5′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is {3,6}(3,5).

It is a 3-fold cover of {6,3}(1,3).

It can be rectified to give rectification of {6,3}(3,5).

It can be obtained by truncating {3,6}(1,3).

List of regular maps in orientable genus 1.

Underlying Graph

Its skeleton is torus-h-3-5.


This regular map is connected with the Fano plane.

Other Regular Maps

General Index

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