R76.18′

Statistics

genus c	76, orientable
Schläfli formula c	{18,9}
V / F / E c	50 / 25 / 225
notes
vertex, face multiplicity c	3, 3
Petrie polygons	45, each with 10 edges
rotational symmetry group	450 elements.
full symmetry group	900 elements.
its presentation c	< r, s, t | t2, (sr)2, (st)2, (rt)2, rs4rs‑2, s‑9, r2s‑3r4, sr‑1s‑1rs‑1r2s‑1rs‑1r‑1sr2s‑1r2  >
C&D number c	R76.18′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R76.18.

Its Petrie dual is R66.9′.

List of regular maps in orientable genus 76.

Underlying Graph

Its skeleton is 3 . torus-h-5-5.

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