A Mathematical Snowstorm, or How I Survived a Blizzard of Koch-like Snowflakes
When I hear about something like January's United States blizzard, I remember the day I was hit by the discovery of an infinitely large family of Koch-like snowflakes.
The Koch snowflake (shown below) is a popular mathematical curve and one of the earliest fractal curves to have been described. It's easy to understand because you can construct it by starting with a regular hexagon, removing the inner third of each side, building an equilateral triangle at the location where the side was removed, and then repeating the process indefinitely:
If you isolate the hexagon's lower side in the process above you'll get the Koch curve, described in a 1904 paper by Helge von Koch (1870--1924). It has a long history that goes back way before the age of computer graphics. See, for example, this handmade drawing by the French mathematician Paul Lévy (1886--1971):