S5:{3,10}

Statistics

genus c5, orientable
Schläfli formula c{3,10}
V / F / E c 12 / 40 / 60
notesreplete
vertex, face multiplicity c2, 1
Petrie polygons
12, each with 10 edges
rotational symmetry group120 elements.
full symmetry group240 elements.
its presentation c< r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, (rs‑4)2  >
C&D number cR5.2
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S5:{10,3}.

It is a 2-fold cover of C6:{3,10}10.
It is a 2-fold cover of C6:{3,10}5.

It can be 2-split to give R29.10.
It can be 4-split to give R77.14′.
It can be 5-split to give R101.38′.

List of regular maps in orientable genus 5.


Other Regular Maps

General Index