R91.31′

Statistics

genus c91, orientable
Schläfli formula c{12,6}
V / F / E c 120 / 60 / 360
notesreplete
vertex, face multiplicity c1, 3
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
72, each with 10 edges
120, each with 6 edges
180, each with 4 edges
120, each with 6 edges
120, each with 6 edges
rotational symmetry group720 elements.
full symmetry group1440 elements.
its presentation c< r, s, t | t2, (sr)2, (st)2, (rt)2, s6, rsr‑3sr4, rs2r‑1s3r‑1s2rs‑1, r‑1sr‑1sr‑1s2r‑1sr‑1sr‑1  >
C&D number cR91.31′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R91.31.

Its Petrie dual is R85.22′.

List of regular maps in orientable genus 91.


Other Regular Maps

General Index