S6:{9,4}

Statistics

genus c	6, orientable
Schläfli formula c	{9,4}
V / F / E c	18 / 8 / 36
notes
vertex, face multiplicity c	1, 3
Petrie polygons holes 2nd-order Petrie polygons	4, each with 18 edges 18, each with 4 edges 9 double, each with 8 edges
rotational symmetry group	72 elements.
full symmetry group	144 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (sr‑2)2, r‑9  >
C&D number c	R6.3′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S6:{4,9}.

Its Petrie dual is N16.3′.

It is a 2-fold cover of C7:{9,4}.

It can be 2-split to give R15.5′.
It can be 4-split to give R33.26′.
It can be 5-split to give R42.1′.
It can be 7-split to give R60.1′.
It can be 10-split to give R87.1′.
It can be 11-split to give R96.4′.

List of regular maps in orientable genus 6.

Other Regular Maps

General Index

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