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Honeycomb hexagons: uses in research

Also: honeycomb conjecture, beeswax

Hexagons divide a plane into equal areas with the least total perimeter, and bees end up with nearly hexagonal cells.

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Timeline

  1. 2001 Honeycomb conjecture proved
  2. 2013 Bee cells start round

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biology

lab biology 2013

Bee cells start round

Karihaloo and colleagues found honeybee comb cells start circular and become rounded hexagons as warm wax flows near cell junctions.

As reported in: Karihaloo, Zhang, Wang (2013). Honeybee combs: how the circular cells transform into rounded hexagons. Journal of The Royal Society Interface. doi:10.1098/rsif.2013.0299

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physics

lab physics 2001

Honeycomb conjecture proved

Hales proved that any partition of the plane into equal-area regions has perimeter at least that of the regular hexagonal honeycomb.

As reported in: Hales (2001). The Honeycomb Conjecture. Discrete & Computational Geometry. doi:10.1007/s004540010071

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