R15.5

Statistics

genus c	15, orientable
Schläfli formula c	{4,18}
V / F / E c	8 / 36 / 72
notes
vertex, face multiplicity c	6, 1
Petrie polygons	8, each with 18 edges
rotational symmetry group	144 elements.
full symmetry group	288 elements.
its presentation c	< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, (rs‑2)2, s18  >
C&D number c	R15.5
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R15.5′.

Its Petrie dual is R29.26.

It can be 3-split to give R79.12.

List of regular maps in orientable genus 15.

Underlying Graph

Its skeleton is 6 . cubic graph.

Other Regular Maps

General Index