Fractal Labs

Explore the art and beauty of mathematical fractals — zoom into the Mandelbrot and Julia sets, watch a tree grow through seasons with falling leaves, trace Koch curves and Gosper islands, and create your own tiling patterns from a variety of starting geometries. Interactive parameter setting so you can control the art that is generated... and also see the impact of the what you change on the fractal dimension! Features: • Integrated Mandelbrot & Julia sets with smooth coloring and pinch-to-zoom • Animated tree fractal with editable parameters, weather, seasons, and daily messages • Line fractals: Koch, Gosper, Heighway Dragon, Sierpiński, Lévy C, and more • Tiling fractal with interactive pattern editing • Save images to your gallery • Custom daily messages so you can send bespoke birthday and anniversary messages to your friends and relatives • About pages covering the math behind fractals and fractional dimensions