R19.7′

Statistics

genus c	19, orientable
Schläfli formula c	{10,4}
V / F / E c	60 / 24 / 120
notes
vertex, face multiplicity c	1, 2
Petrie polygons holes 2nd-order Petrie polygons	40, each with 6 edges 40, each with 6 edges 40, each with 6 edges
rotational symmetry group	240 elements.
full symmetry group	480 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (sr‑2sr‑1)2, (sr‑4)2  >
C&D number c	R19.7′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R19.7.

Its Petrie dual is R11.1′.
Its Petrie dual is R11.1′.

It can be 3-split to give R79.1′.
It can be built by 2-splitting S4:{5,4}.

List of regular maps in orientable genus 19.

Other Regular Maps

General Index