"No computer graphics tricks were used in this video," writes Jiri Zemanek of Czech Technical University in Prague.
Various patterns are generated in MATLAB using mathematical equations similar to ones describing Spirograph (or harmonograph) and Phyllotaxis. The patterns are calculated in such a way that when rotated under a stroboscopic light of suitable frequency or when recorded by a camera, they start to animate. It is kind of zoetrope—early device for animation. Eggs were painted using EggBot (designed by Bruce Shapiro as open hardware and available as a kit from http://www.evilmadscientist.com/). To draw on eggs, we used standard permanent markers and an electro kistka with bee wax followed by dying. Eggs are rotated at a constant speed, special for each pattern, by a brushless motor.
Here's more: "This apparatus creates stroboscopic patterns on an egg covered in photochromic paint"