R90.3′

Statistics

genus c	90, orientable
Schläfli formula c	{360,4}
V / F / E c	180 / 2 / 360
notes
vertex, face multiplicity c	2, 360
Petrie polygons	2, each with 360 edges
rotational symmetry group	720 elements.
full symmetry group	1440 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (sr‑1)2, (st)2, (rt)2, r90s2r90  >
C&D number c	R90.3′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R90.3.

It is self-Petrie dual.

It can be built by 5-splitting R18.3′.
It can be built by 9-splitting R10.12′.

It is a member of series η'.

List of regular maps in orientable genus 90.

Other Regular Maps

General Index