R45.5′

Statistics

genus c	45, orientable
Schläfli formula c	{15,4}
V / F / E c	120 / 32 / 240
notes
vertex, face multiplicity c	1, 3
Petrie polygons	16, each with 30 edges
rotational symmetry group	480 elements.
full symmetry group	960 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (sr‑1)4, (sr‑4)2, r‑15  >
C&D number c	R45.5′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R45.5.

Its Petrie dual is N106.7′.

It can be built by 3-splitting S5:{5,4}.

List of regular maps in orientable genus 45.

Other Regular Maps

General Index