Winter’s Haven

The Koch Snowflake is a fractal, and, as you can see, two sizes of Koch Snowflakes in a 1:3 ratio of areas tile the plane. (Kudos to Eric Weisstein’s Mathworld for bringing the latter fact to my attention.)

For those of you now wondering, “what are fractals, anyway?” or “what does it even mean for a set of points to have fractional dimension?” I recommend Kenneth Falconer’s excellent book Fractal Geometry. It is engaging and quite accessible for anyone with a basic knowledge of Analysis.

This entry was posted 2007-Feb-25 and is filed under Aesthetics, Mathematics. You can leave a response, or trackback from your own site.