R56.6

Statistics

genus c56, orientable
Schläfli formula c{6,6}
V / F / E c 110 / 110 / 330
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
66, each with 10 edges
132, each with 5 edges
66, each with 10 edges
220, each with 3 edges
110, each with 6 edges
rotational symmetry groupPSL(2,11), with 660 elements
full symmetry group1320 elements.
its presentation c< r, s, t | t2, (rs)2, (rt)2, (st)2, r6, s6, (r‑2s)3, (sr‑1s)3, (s‑1r)5  >
C&D number cR56.6
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

List of regular maps in orientable genus 56.


Other Regular Maps

General Index