📰 Source: upgoat.net | Upgoat

✍️ Original author: shitface9000

⬆️ score: 24

v/mathematics · by u/shitface9000

📝 Original content:

https://www.natehiggers.top/u/2026-10/49eqyn.jpg

https://x.com/mathemetica/status/2115459455823527946

Why do bees always build hexagonal cells instead of squares or triangles?

Among every way to partition the plane into equal-area regions, the regular hexagon minimizes total perimeter. For inradius r, area A = 2√3 r² and perimeter P = 4√3 r, so wax used is proportional to 4√3 r t. Thomas C. Hales proved the honeycomb theorem in 1999: this tiling stores the most honey with the least wax.

The same principle drives efficient packing in materials science, architecture, and computer graphics.

Nature solved an optimization problem long before the proof existed.

Where have you seen hexagonal efficiency outside biology?

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