R56.4′

Statistics

genus c	56, orientable
Schläfli formula c	{114,4}
V / F / E c	114 / 4 / 228
notes
vertex, face multiplicity c	2, 57
Petrie polygons	2, each with 228 edges
rotational symmetry group	456 elements.
full symmetry group	912 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (sr‑1)2, (st)2, (rt)2, r114  >
C&D number c	R56.4′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R56.4.

Its Petrie dual is R57.13′.

It can be built by 3-splitting R18.2′.

It is a member of series l.

List of regular maps in orientable genus 56.

Other Regular Maps

General Index