R55.50

Statistics

genus c	55, orientable
Schläfli formula c	{28,28}
V / F / E c	9 / 9 / 126
notes
vertex, face multiplicity c	7, 7
Petrie polygons	42, each with 6 edges
rotational symmetry group	252 elements.
full symmetry group	504 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, sr4s3, srs‑1rs‑1r2s2r‑1sr‑1, r9s‑1rs‑1rs‑1  >
C&D number c	R55.50
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

Its Petrie dual is N77.2.

It can be rectified to give R55.12′.

List of regular maps in orientable genus 55.

Other Regular Maps

General Index

Groups of order 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 27 28 30 48 60 120 168 336 360 720