{3,6}(3,5)

Statistics

genus c1, orientable
Schläfli formula c{3,6}
V / F / E c 21 / 42 / 63
notesChiral replete singular is a polyhedral map permutes its vertices evenly
vertex, face multiplicity c1, 1
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3, each with 42 edges
21, each with 6 edges
9, each with 14 edges
6, each with 21 edges
antipodal sets21 of ( v, h2 )
rotational symmetry groupC21⋊C6, with 126 elements
full symmetry groupC21⋊C6, 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 {6,3}(3,5).

It is a 3-fold cover of {3,6}(1,3).
It is a 7-fold cover of {3,6}(0,2).

It can be 2-split to give C22.3.

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

List of regular maps in orientable genus 1.


Other Regular Maps

General Index

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