R82.57′

Statistics

genus c	82, orientable
Schläfli formula c	{18,9}
V / F / E c	54 / 27 / 243
notes
vertex, face multiplicity c	3, 3
Petrie polygons	27, each with 18 edges
rotational symmetry group	486 elements.
full symmetry group	972 elements.
its presentation c	< r, s, t | t2, (sr)2, (st)2, (rt)2, (sr‑1s)2, s‑9, rs‑1r2s2r2s‑1r, rsr‑5sr6  >
C&D number c	R82.57′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R82.57.

List of regular maps in orientable genus 82.

Underlying Graph

Its skeleton is 3 . torus-h-0-6.

Other Regular Maps

General Index