R61.14

Statistics

genus c61, orientable
Schläfli formula c{6,6}
V / F / E c 120 / 120 / 360
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
72, each with 10 edges
180, each with 4 edges
120, each with 6 edges
180, each with 4 edges
180, each with 4 edges
rotational symmetry groupS6, with 720 elements
full symmetry group1440 elements.
its presentation c< r, s, t | t2, (rs)2, (rt)2, (st)2, r6, s6, (rs‑1)4, (rs‑1r)4, (rs‑2)4, s2rs‑1r‑2sr‑3s3r‑1  >
C&D number cR61.14
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 61.


Other Regular Maps

General Index