R40.6′

Statistics

genus c	40, orientable
Schläfli formula c	{42,6}
V / F / E c	42 / 6 / 126
notes
vertex, face multiplicity c	3, 21
Petrie polygons	6, each with 42 edges
rotational symmetry group	252 elements.
full symmetry group	504 elements.
its presentation c	< r, s, t | t2, (sr)2, (sr‑1)2, (st)2, (rt)2, s6, r42  >
C&D number c	R40.6′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R40.6.

It can be built by 3-splitting R12.4′.
It can be built by 7-splitting S4:{6,6}3,3.

List of regular maps in orientable genus 40.

Other Regular Maps

General Index