R27.18

Statistics

genus c27, orientable
Schläfli formula c{108,108}
V / F / E c 1 / 1 / 54
notesFaces share vertices with themselves Faces share edges with themselves Vertices share edges with themselves trivial
vertex, face multiplicity c108, 108
Petrie polygons
54, each with 2 edges
rotational symmetry group108 elements.
full symmetry group216 elements.
its presentation c< r, s, t | t2, sr2s, (r, s), (rt)2, (st)2, r20tr‑12sts‑20r  >
C&D number cR27.18
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

It can be rectified to give R27.4′.

It is a member of series β° .

List of regular maps in orientable genus 27.


Other Regular Maps

General Index