{6,3}(1,1)

Statistics

genus c1, orientable
Schläfli formula c{6,3}
V / F / E c 2 / 1 / 3
notesFaces share vertices with themselves Faces share edges with themselves trivial is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c3, 6
Petrie polygons
3, each with 2 edges
rotational symmetry groupC6, with 6 elements
full symmetry groupD12, with 12 elements
C&D number cR1.t1-1′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is {3,6}(1,1).

Its Petrie dual is the 3-hosohedron.

It can be 3-fold covered to give {6,3}(0,2).

It can be rectified to give rectification of {6,3}(1,1).

It can be diagonalised to give {4,4}(1,1).

It can be stellated (with path <1,-1;-1,1>) to give S2:{6,6} . The density of the stellation is 4.

It is a member of series α'.
It is a member of series δ.

List of regular maps in orientable genus 1.

Underlying Graph

Its skeleton is 3 . K2.

Other Regular Maps

General Index

Orientable
sphere | torus | 2 | 3 | 4 | 5 | 6 |
Non-orientable
projective plane | 4 | 5 | 6 | 7 |

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