R15.18

Statistics

genus c	15, orientable
Schläfli formula c	{18,18}
V / F / E c	4 / 4 / 36
notes
vertex, face multiplicity c	6, 6
Petrie polygons	18, each with 4 edges
rotational symmetry group	72 elements.
full symmetry group	144 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, sr3s2, r‑2s4r‑1sr‑8s2  >
C&D number c	R15.18
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

Its Petrie dual is N16.4.

List of regular maps in orientable genus 15.

Underlying Graph

Its skeleton is 6 . K₄.

Other Regular Maps

General Index