LESSON 5 · Patterns in Nature
The Hexagon Solution
Bees build honeycombs from regular hexagons — and this isn't random. Among all shapes that tile a flat surface without gaps, the hexagon encloses the most area for the least perimeter. In other words, hexagons use the minimum wax to store the maximum honey.

This was first recorded by the Roman scholar Marcus Terentius Varro around 36 BC, and the Greek mathematician Pappus of Alexandria later gave a famous but incomplete argument in the 4th century AD. It was finally proven by Thomas Hales in 1999. Bees solved an optimization problem that took human mathematicians nearly two millennia to confirm. Nature had the answer first.