{6,3}_(3,5)

Statistics

genus c	1, orientable
Schläfli formula c	{6,3}
V / F / E c	42 / 21 / 63
notes
vertex, face multiplicity c	1, 1
Petrie polygons	3, each with 42 edges
rotational symmetry group	C21⋊C6 ≅ (C7⋊C6)×C3, with 126 elements
full symmetry group	C21⋊C6 ≅ (C7⋊C6)×C3, with 126 elements
C&D number c	C1.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 the Heawood map.

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

It can be obtained by truncating the dual Heawood map.

List of regular maps in orientable genus 1.

Underlying Graph

Its skeleton is torus-h-3-5.

Comments

This regular map is connected with the Fano plane.

Other Regular Maps

General Index

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