R55.18

Statistics

genus c	55, orientable
Schläfli formula c	{6,6}
V / F / E c	108 / 108 / 324
notes
vertex, face multiplicity c	1, 1
Petrie polygons	54, each with 12 edges
rotational symmetry group	648 elements.
full symmetry group	1296 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, r6, (s‑1r)3, s6, s‑1r‑2srs‑2r3s2r‑1s‑1r2s‑2  >
C&D number c	R55.18
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

List of regular maps in orientable genus 55.

Other Regular Maps

General Index