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′.

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

It is the result of rectifying R19.26.

List of regular maps in orientable genus 19.

Other Regular Maps

General Index