R55.8′

Statistics

genus c	55, orientable
Schläfli formula c	{10,4}
V / F / E c	180 / 72 / 360
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons	72, each with 10 edges 90, each with 8 edges 90, each with 8 edges
rotational symmetry group	A6 ⋊ C2, with 720 elements
full symmetry group	1440 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (rs‑1r)3, r10, r‑1s‑1r2sr‑1sr2s‑1r‑2  >
C&D number c	R55.8′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R55.8.

It is self-Petrie dual.

List of regular maps in orientable genus 55.

Other Regular Maps

General Index