{3,6}(4,4)

Statistics

genus c1, orientable
Schläfli formula c{3,6}
V / F / E c 16 / 32 / 48
notesreplete singular is a polyhedral map permutes its vertices evenly
vertex, face multiplicity c1, 1
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
12, each with 8 edges
16, each with 6 edges
12, each with 8 edges
24, each with 4 edges
antipodal sets16 of ( v, h2 )
rotational symmetry group(C4×C4)⋊C6, with 96 elements
full symmetry group192 elements.
C&D number cR1.t4-4
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is {6,3}(4,4).

Its Petrie dual is N22.4′.

It can be 3-fold covered to give {3,6}(0,8).

It can be 2-split to give R17.19′.
It can be 5-split to give R65.61′.
It can be 7-split to give R97.85′.

It can be rectified to give rectification of {6,3}(4,4).

It can be truncated to give {6,3}(0,8).

List of regular maps in orientable genus 1.

Underlying Graph

Its skeleton is Shrikhande graph.

Other Regular Maps

General Index

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

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