Plane square tilings

Details Plane square tilings Plane square tilings

2010-12-31

arxiv.org/abs/1101.0223v1

Mathematics

Combinatorics

14 pages, 7 figures

Scientific paper

We consider here square tilings of the plane. By extending the formalism introduced in [3] we build a correspondence between plane maps endowed with an harmonic vector and square tilings satisfying a condition of regularity. In the case of periodic plane square tiling the relevant space of harmonic vectors is actually isomorphic to the first homology group of a torus. So, periodic plane square tilings are described by two parameters and the set of parameters is split into angular sectors. The correspondence between symmetry of the square tiling and symmetry of the plane maps and harmonic vectors is discussed and a method for enumerating the regular periodic plane square tilings having r orbits of squares is outlined.

Affiliated with

Also associated with

No associations

Rating

Plane square tilings does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Plane square tilings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Plane square tilings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-295778