R57.65′

Statistics

genus c	57, orientable
Schläfli formula c	{120,40}
V / F / E c	6 / 2 / 120
notes
vertex, face multiplicity c	20, 120
Petrie polygons	40, each with 6 edges
rotational symmetry group	240 elements.
full symmetry group	480 elements.
its presentation c	< r, s, t | t2, (sr)2, (st)2, (rt)2, rs3rs‑1, rsr‑2sr3, s‑1r6s‑5rs‑1r2s‑1rs‑10rs‑1r2s‑1rs‑6  >
C&D number c	R57.65′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R57.65.

Its Petrie dual is R38.3.

It is a member of series ε° .

List of regular maps in orientable genus 57.

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