R20.4′

Statistics

genus c	20, orientable
Schläfli formula c	{60,6}
V / F / E c	20 / 2 / 60
notes
vertex, face multiplicity c	3, 60
Petrie polygons	6, each with 20 edges
rotational symmetry group	120 elements.
full symmetry group	240 elements.
its presentation c	< r, s, t | t2, (sr)2, (st)2, (rt)2, s6, r‑1s3r‑1s, r10s2r10  >
C&D number c	R20.4′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R20.4.

Its Petrie dual is R18.4′.

It can be built by 5-splitting S4:{12,6}.

It is a member of series ε' .

List of regular maps in orientable genus 20.

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