R56.18

Statistics

genus c	56, orientable
Schläfli formula c	{25,50}
V / F / E c	5 / 10 / 125
notes
vertex, face multiplicity c	25, 5
Petrie polygons	25, each with 10 edges
rotational symmetry group	250 elements.
full symmetry group	500 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, srs‑1rs2, sr6sr‑4, s‑1r4s‑1r12s‑1r4s‑1r  >
C&D number c	R56.18
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R56.18′.

Its Petrie dual is N97.6.

List of regular maps in orientable genus 56.

Other Regular Maps

General Index

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