Quantum Fibonacci
Golden-angle phyllotaxis blooming from a single seed, jittered by a probability wave.
About this piece
Quantum Fibonacci is built on one of nature’s favourite numbers: the golden angle, roughly 137.5°. Place a dot, turn by that angle, step a little further out, and repeat a few hundred times. What you get is phyllotaxis — the exact spiral packing a sunflower uses to fit the most seeds into the least space, and the same one you’ll find in pinecones, pineapples and daisy heads.
On top of that tidy lattice this piece adds a playful nod to quantum mechanics. Each point carries a probability that rises and falls on a sine wave, so dots fade in and out as if being observed, and a faint “uncertainty” wobble nudges them off the perfect spiral. A handful of entangled pairs draw a thin thread to their mirror point across the seed.
What to look for
Look for the parastichies — the clockwise and counter-clockwise spiral arms your eye traces through the dots. Count them and you’ll almost always land on consecutive Fibonacci numbers (8 one way, 13 the other), which is why the golden angle and the Fibonacci sequence are two views of the same thing.
Because the radius grows as the square root of the index, the bloom stays evenly dense from centre to rim instead of crowding or thinning out.
Curious how the loop and canvas fit together? Read how it works →