R55.1′

Statistics

genus c	55, orientable
Schläfli formula c	{12,3}
V / F / E c	432 / 108 / 648
notes
vertex, face multiplicity c	1, 2
Petrie polygons	18, each with 72 edges
rotational symmetry group	1296 elements.
full symmetry group	2592 elements.
its presentation c	< r, s, t | t2, s‑3, (sr)2, (st)2, (rt)2, (sr‑5)2, r‑1sr‑2s‑1r2s‑1r2sr‑2sr‑2sr‑1sr2s‑1r2s‑1r‑2sr‑2sr‑2sr‑2  >
C&D number c	R55.1′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R55.1.

Its Petrie dual is R100.1′.

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