R27.15

Statistics

genus c27, orientable
Schläfli formula c{55,110}
V / F / E c 1 / 2 / 55
notestrivial Faces share vertices with themselves Vertices share edges with themselves
vertex, face multiplicity c110, 55
Petrie polygons
55, each with 2 edges
rotational symmetry group110 elements.
full symmetry group220 elements.
its presentation c< r, s, t | t2, sr2s, (r, s), (rt)2, (st)2, r‑1s37tr13s‑1tr‑1s2  >
C&D number cR27.15
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R27.15′.

It can be 2-split to give R54.19.

It is a member of series z.

List of regular maps in orientable genus 27.


Other Regular Maps

General Index