R55.35′

Statistics

genus c	55, orientable
Schläfli formula c	{24,12}
V / F / E c	24 / 12 / 144
notes
vertex, face multiplicity c	4, 6
Petrie polygons	48, each with 6 edges
rotational symmetry group	288 elements.
full symmetry group	576 elements.
its presentation c	< r, s, t | t2, (sr)2, (st)2, (rt)2, (sr‑1s)2, rsr‑3sr4, s12, sr‑2s4r‑2sr‑2  >
C&D number c	R55.35′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R55.35.

It can be built by 3-splitting R15.12.

List of regular maps in orientable genus 55.

Underlying Graph

Its skeleton is 4 . Nauru graph.

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