R61.22′

Statistics

genus c61, orientable
Schläfli formula c{15,10}
V / F / E c 36 / 24 / 180
notesreplete
vertex, face multiplicity c1, 3
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
4th-order holes
4th-order Petrie polygons
5th-order holes
5th-order Petrie polygons
60, each with 6 edges
60, each with 6 edges
36, each with 10 edges
120, each with 3 edges
12, each with 30 edges
36, each with 10 edges
60, each with 6 edges
60, each with 6 edges
60, each with 6 edges
rotational symmetry group360 elements.
full symmetry group720 elements.
its presentation c< r, s, t | t2, (sr)2, (st)2, (rt)2, (s‑2r)3, s10, r‑1s‑1rs3rs‑1r‑1s  >
C&D number cR61.22′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R61.22.

Its Petrie dual is N86.9.

Its 3-hole derivative is R13.1.

List of regular maps in orientable genus 61.


Other Regular Maps

General Index