Filling the Plane - from Squares to Rep-Tiles

Gunilla Borgefors
Center for Image Analysis
Uppsala University and
Swedish University of Agricultural Sciences


Abstract:

The start of the art of tessellating the plane occurred when pre-humans made pebble patterns on the plains. The old Greeks started the mathematical classification of patterns from pretty polygons while starry-eyed Kepler started stitching stellar segments together. Last century grand geometricians gradually graded them into groups. And once your eyes are open, you will see the Archimedean tessellations everywhere, from the floors of Pompeii to the walls of the new Oslo opera house.