To review some basics in Algebra in SL Math, we played with Voronoi Diagrams. Here is the problem that was asked and the solution using Geogebra. There are many fascinating sites about these diagrams. Explore these sites: Voronoi Game 1, Voronoi Game 2 (and an introduction to the idea behind the game), A paper on Ornamental Design using these diagrams with a web gallery, a very brief explanation on how to generate fractals using these diagrams, an art installation that I would love to build about the idea of personal space, another fractal site, finally some images and explanations (also on wikipedia). I apparently went a little crazy looking up some of these things.
