R55.25′

Statistics

genus c	55, orientable
Schläfli formula c	{12,6}
V / F / E c	72 / 36 / 216
notes
vertex, face multiplicity c	2, 2
Petrie polygons	18, each with 24 edges
rotational symmetry group	432 elements.
full symmetry group	864 elements.
its presentation c	< r, s, t | t2, (sr)2, (st)2, (rt)2, s6, (sr‑1s)2, r‑2s‑3r‑4, rsr‑1s‑1rs‑1r2sr‑1s‑2r‑1sr2s‑1r2s‑1r  >
C&D number c	R55.25′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R55.25.

Its Petrie dual is R64.18′.

List of regular maps in orientable genus 55.

Underlying Graph

Its skeleton is 2 . torus-h-6-6.

Other Regular Maps

General Index