A couple days ago I wrote about Donald Knuth’s expression for the twindragon fractal as a sum of powers of b = 1 − i.

Simone Conradi made a nice animation replacing (1 − i) with exp(2πit) (1 − i). The animation loops over values of t.

Here’s what you get when t = 0.3.

And here’s what you get when t = 0.4.

The post Variations on Knuth’s Twindragon first appeared on John D. Cook.