{6,3}(3,3)

Statistics

genus c1, orientable
Schläfli formula c{6,3}
V / F / E c 18 / 9 / 27
notesreplete singular is a polyhedral map permutes its vertices oddly
vertex, face multiplicity c1, 1
Petrie polygons
9, each with 6 edges
rotational symmetry group(C3×C3)⋊C6, with 54 elements
full symmetry group108 elements.
C&D number cR1.t3-3′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

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

It is self-Petrie dual.

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

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

It can be Eppstein tunnelled to give R10.4′.

It can be obtained by truncating {3,6}(0,2).

Its half shuriken is C11:{6,6}.

List of regular maps in orientable genus 1.

Underlying Graph

Its skeleton is Pappus graph.

Cayley Graphs based in this Regular Map


Type I

(C3×C3) ⋊ C2

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