R55.54′

Statistics

genus c55, orientable
Schläfli formula c{222,111}
V / F / E c 2 / 1 / 111
notesFaces share vertices with themselves Faces share edges with themselves trivial
vertex, face multiplicity c111, 222
Petrie polygons
111, each with 2 edges
rotational symmetry group222 elements.
full symmetry group444 elements.
its presentation c< r, s, t | t2, rs2r, (s, r), (st)2, (rt)2, s‑1r48tr‑1sr‑1ts‑59  >
C&D number cR55.54′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R55.54.

It is a member of series α' .

List of regular maps in orientable genus 55.


Other Regular Maps

General Index

Orientable
sphere | torus | 2 | 3 | 4 | 5 | 6 |
Non-orientable
projective plane | 4 | 5 | 6 | 7 |


Groups of order 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 27 28 30 48 60 120 168 336 360 720