The angle a sunflower keeps
Count the spirals on a sunflower head and you will almost always land on two neighbouring Fibonacci numbers: 34 curling one way and 55 the other, or 55 and 89 on a big bloom. The plant isn’t counting. It is repeating one turn, over and over.
Because φ is the number that fractions approximate worst, no seed ever settles directly behind an earlier one. Nearly any other angle leaves spokes and empty wedges. This one fills the disc evenly, which is how a head fits the most seeds.