{4,4}(5,5)

Statistics

genus c1, orientable
Schläfli formula c{4,4}
V / F / E c 50 / 50 / 100
notesreplete singular is a polyhedral map permutes its vertices oddly
vertex, face multiplicity c1, 1
Petrie polygons
holes
20, each with 10 edges
20, each with 10 edges
rotational symmetry group((C5×C5)⋊C4)×C2, with 200 elements
full symmetry group400 elements.
C&D number cR1.s5-5
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 R16.3′.

It is a 2-fold cover of {4,4}(5,0).

It can be 3-split to give R51.5′.

It is the result of rectifying {4,4}(5,0).

List of regular maps in orientable genus 1.


Other Regular Maps

General Index

The image on this page is copyright © 2010 N. Wedd