genus c1, orientable
Schläfli formula c{4,4}
V / F / E c 25 / 25 / 50
notesreplete singular is a polyhedral map permutes its vertices evenly
vertex, face multiplicity c1, 1
Petrie polygons
10, each with 10 edges
20, each with 5 edges
rotational symmetry group(C5×C5)⋊C4, with 100 elements
full symmetry group200 elements.
C&D number cR1.s5-0
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

Its Petrie dual is N17.2′.

It can be 2-fold covered to give {4,4}(5,5).

It can be rectified to give {4,4}(5,5).

List of regular maps in orientable genus 1.

Cayley Graphs based in this Regular Map

Type I


Other Regular Maps

General Index

The images on this page are copyright © 2010 N. Wedd