R55.5′

Statistics

genus c	55, orientable
Schläfli formula c	{6,4}
V / F / E c	324 / 216 / 648
notes
vertex, face multiplicity c	1, 1
Petrie polygons	216, each with 6 edges
rotational symmetry group	1296 elements.
full symmetry group	2592 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, r6, r‑1s‑1rsr‑1s2r‑1srs‑1r‑1, (sr‑2)6  >
C&D number c	R55.5′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R55.5.

It is self-Petrie dual.

List of regular maps in orientable genus 55.

Other Regular Maps

General Index