Honeycomb conjecture
Encyclopedia
The honeycomb conjecture states that a regular hexagonal grid or honeycomb
Honeycomb
A honeycomb is a mass of hexagonal waxcells built by honey bees in their nests to contain their larvae and stores of honey and pollen.Beekeepers may remove the entire honeycomb to harvest honey...

 is the best way to divide a surface into regions of equal area with the least total perimeter.
The conjecture was proposed by Pappus of Alexandria
Pappus of Alexandria
Pappus of Alexandria was one of the last great Greek mathematicians of Antiquity, known for his Synagoge or Collection , and for Pappus's Theorem in projective geometry...

 (c. 290 – c. 350) and proved by mathematician Thomas C. Hales.
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