Bulbs Know Fractions
Every bulb on the Mandelbrot set repeats with a period equal to the denominator of where it is attached, and between any two bulbs sits their Farey mediant.
fractals
3 projects
- 48
- 38
Every Boundary Is All Three
Newton's method on z³ − 1 has three basins. Pick any point on any boundary between them and all three are arbitrarily close.
- 12
Slow Lightning
Particles wandering at random until they stick, growing frost, and two ways of measuring it that disagree by a quarter.