R40.1′

Statistics

genus c	40, orientable
Schläfli formula c	{30,4}
V / F / E c	90 / 12 / 180
notes
vertex, face multiplicity c	1, 5
Petrie polygons	18, each with 20 edges
rotational symmetry group	360 elements.
full symmetry group	720 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, rsr‑1sr‑1sr2s‑1r, (sr‑1)6, r‑2s‑1rsr‑1s‑2r‑6  >
C&D number c	R40.1′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R40.1.

Its Petrie dual is R37.18′.

It can be built by 5-splitting S4:{6,4}.

List of regular maps in orientable genus 40.

Other Regular Maps

General Index