R31.12

Statistics

genus c31, orientable
Schläfli formula c{6,6}
V / F / E c 60 / 60 / 180
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
60, each with 6 edges
24, each with 15 edges
36, each with 10 edges
90, each with 4 edges
90, each with 4 edges
rotational symmetry groupC3 x S5, with 360 elements
full symmetry group720 elements.
its presentation c< r, s, t | t2, (rs)2, (rt)2, (st)2, r6, s6, sr2s‑1r2s2r‑1s  >
C&D number cR31.12
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 31.


Other Regular Maps

General Index