R51.14

Statistics

genus c	51, orientable
Schläfli formula c	{6,8}
V / F / E c	60 / 80 / 240
notes
vertex, face multiplicity c	2, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons 4th-order holes 4th-order Petrie polygons	48, each with 10 edges 80, each with 6 edges 80, each with 6 edges 40, each with 12 edges 48, each with 10 edges 240, each with 2 edges 240, each with 2 edges
rotational symmetry group	480 elements.
full symmetry group	960 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, r6, (rs‑3)2, s8, s‑1rs‑1rs‑1r2s‑1rs‑1rs‑1  >
C&D number c	R51.14
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R51.14′.

Its Petrie dual is R67.9′.

Its 3-hole derivative is R71.11′.

List of regular maps in orientable genus 51.

Other Regular Maps

General Index