Cantor dust

Cantor Dust

Cantor dust, also known as the Cantor set, is possibly the first pure fractal ever found – by Georg Cantor around 1872. To produce Cantor dust, start with a line segment, divide it in to three equal smaller segments, take out the middle one, and repeat this process indefinitely.


Although Cantor dust is riddled with infinitely many gaps, it still contains uncountably many points. It has a fractal dimension of log 2/log 3, or approximately 0.631.