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Honeycombs, we all know, store honey. Honey is obviously valuable to bees. It feeds their young. It sustains the hive. It makes the wax that holds the honeycomb together. It takes thousands and thousands of bee hours, tens of thousands of flights across the meadow, to gather nectar from flower after flower after flower, so it's reasonable to suppose that back at the hive, bees want a tight, secure storage structure that is as simple to build as possible.
So how to build it? Well, suppose you start your honeycomb with a cell like a totally random shape, no equal sides, just a squiggle. If you start this way, what will your next cell look like? Well, you don't want big gaps between cells. You want the structure tight. So the next cell will have to be customized to cling to the first. And the third cell, once again, will have to be designed to fit the first two. Each cell would be a little different. For More illustration, you can see the picture here.
So a "squiggle cell plan" creates idle bees. It wastes time. For bees to assemble a honeycomb the way bees actually do it, it's simpler for each cell to be exactly the same. If the sides are all equal — "perfectly" hexagonal — every cell fits tight with every other cell. Everybody can pitch in. That way, a honeycomb is basically an easy jigsaw puzzle. All the parts fit. OK, that explains why honeycomb cells are same-sized.
source : http://www.npr.org/blogs/krulwich/2013/05/13/183704091/what-is-it-about-bees-and-hexagons
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