R13.20

Statistics

genus c13, orientable
Schläfli formula c{27,54}
V / F / E c 1 / 2 / 27
notestrivial Faces share vertices with themselves Vertices share edges with themselves is not a polyhedral map
vertex, face multiplicity c54, 27
Petrie polygons
27, each with 2 edges
rotational symmetry group54 elements.
full symmetry group108 elements.
its presentation c< r, s, t | t2, sr2s, (r, s), (rt)2, (st)2, r‑1s4r‑2tr10s‑2tr‑8  >
C&D number cR13.20
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R13.20′.

It can be 2-split to give R26.15.

It is a member of series α.

List of regular maps in orientable genus 13.


Other Regular Maps

General Index