R55.15′

Statistics

genus c55, orientable
Schläfli formula c{220,4}
V / F / E c 110 / 2 / 220
notesFaces share vertices with themselves
vertex, face multiplicity c2, 220
Petrie polygons
4, each with 110 edges
rotational symmetry group440 elements.
full symmetry group880 elements.
its presentation c< r, s, t | t2, s4, (sr)2, (sr‑1)2, (st)2, (rt)2, r55s2r55  >
C&D number cR55.15′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R55.15.

Its Petrie dual is R54.2′.

It can be built by 5-splitting R11.4′.
It can be built by 11-splitting S5:{20,4}.

It is a member of series ζ'°.

List of regular maps in orientable genus 55.


Other Regular Maps

General Index