R45.13

Statistics

genus c45, orientable
Schläfli formula c{5,6}
V / F / E c 110 / 132 / 330
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
110, each with 6 edges
132, each with 5 edges
66, each with 10 edges
110, each with 6 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, r‑5, s6, (s‑1r)5, srs‑1r‑1sr2sr‑1s‑1rs  >
C&D number cR45.13
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R45.13′.

List of regular maps in orientable genus 45.


Other Regular Maps

General Index