{4,4}(1,1)

Statistics

genus c1, orientable
Schläfli formula c{4,4}
V / F / E c 2 / 2 / 4
notesFaces share vertices with themselves trivial is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c4, 4
Petrie polygons
holes
4, each with 2 edges
4, each with 2 edges
rotational symmetry groupC4×C2, with 8 elements
full symmetry groupD8×C2, with 16 elements
C&D number cR1.s1-1
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 the 4-hosohedron.

It can be 2-fold covered to give {4,4}(2,0).
It is a 2-fold cover of {4,4}(1,0).

It can be rectified to give {4,4}(2,0).
It is the result of rectifying {4,4}(1,0).

It is the diagonalisation of {6,3}(1,1).

It can be stellated (with path <2,1;1,2>) to give S3:{8,8}4 . The density of the stellation is 6.

It is a member of series h.
It is a member of series j.
It is a member of series k.

List of regular maps in orientable genus 1.

Underlying Graph

Its skeleton is 4 . K2.

Other Regular Maps

General Index

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