ij.muse | Visual Science

40,000 points. Each one jumps halfway to a random corner.

Pick a corner of a pyramid at random and hop halfway toward it. Do it again and again. Every ball does this on its own, yet after a few hops they all land on a pyramid made of tiny pyramids. The color shows which corner a ball hopped toward last.
In daily life: random sampling in computer graphics, Monte Carlo simulations, and fractal antennas.

#algorithm #chaosgame #sierpinski #fractal #artandscience