R51.5′

Statistics

genus c	51, orientable
Schläfli formula c	{12,4}
V / F / E c	150 / 50 / 300
notes
vertex, face multiplicity c	1, 3
Petrie polygons	20, each with 30 edges
rotational symmetry group	600 elements.
full symmetry group	1200 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (sr‑3)2, r12, sr‑1s‑1rsr‑1sr‑1sr‑1s2r‑1sr‑1sr‑1sr2  >
C&D number c	R51.5′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R51.5.

Its Petrie dual is R66.2′.

It can be built by 3-splitting {4,4}_(5,5).

List of regular maps in orientable genus 51.

Other Regular Maps

General Index