Fractals are great fun. They're self similar at all levels. They're often built from very simple rules. And, they pay dividends for tedious persistence. But, if you ever try to navigate one on foot, it's extremely easy to get turned around.
I wholly intended to work in the studio on New Years day. Then, Ian said he wanted to play with me...I couldn't refuse. We settled on Minecraft, and I went straight for the Menger Sponge. Ian didn't last long, but Max was excited. He poured himself into applying the pattern, through tedium and prolific copy errors. Before we knew it, an hour had passed, and we stood at the foot of a third-level sponge. Max introduced me to structure blocks, which copy parts of the Minecraft world, and that gave us the imposing level four seen above. The fifth level took the better part of half a day. The limitations of our medium relieved us of the desire to see level six. Anyway, a good time was had by all.
The most visually recognizable fractal is probably the Mandelbrot Set. However, Mandelbrot requires calculation of complex valued functions, and a lot of it. This makes it inaccessible to pencil wielding hobbyists. Thing is, there are a host of geometric fractals completely within the purview of the layman. The dragon curve, Koch snowflake, Sierpinski triangle, Apollonian gasket, tetrix, and Menger sponge can all be made by school children; Janet did so with preteens. They are a mind absorbing, satisfying, time sink...not unlike Chuzzle.