R15.5′

Statistics

genus c15, orientable
Schläfli formula c{18,4}
V / F / E c 36 / 8 / 72
notesreplete
vertex, face multiplicity c1, 6
Petrie polygons
8, each with 18 edges
rotational symmetry group144 elements.
full symmetry group288 elements.
its presentation c< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (sr‑2)2, r18  >
C&D number cR15.5′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R15.5.

It is self-Petrie dual.

It can be 5-split to give R87.1′.
It can be built by 2-splitting S6:{9,4}.

List of regular maps in orientable genus 15.


Other Regular Maps

General Index