R12.9

Statistics

genus c12, orientable
Schläfli formula c{25,50}
V / F / E c 1 / 2 / 25
notestrivial Faces share vertices with themselves Vertices share edges with themselves is not a polyhedral map
vertex, face multiplicity c50, 25
Petrie polygons
25, each with 2 edges
rotational symmetry group50 elements.
full symmetry group100 elements.
its presentation c< r, s, t | t2, sr2s, (r, s), (rt)2, (st)2, r‑1s5r‑2tr9tr‑7s  >
C&D number cR12.9
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R12.9′.

It can be 2-split to give R24.16.

It is a member of series α.

List of regular maps in orientable genus 12.


Other Regular Maps

General Index