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they are used by bees, its the only structure they use
Because hexagons are very strong and sturdy. AND they tile very well! Thats why Bees use the shape, and if anything needs to be sturdy they use that shape! Of course, triangles are more sturdy. Thats why every house or bridge etc. always uses triangles!
Just look around you...On your house, there are brick walls. These are examples of non-regular tessellations...Look at pictures of honeycombs that bees live in. Those are examples of regular tessellations...Go on google or whatever you use and look up the artwork of M.C. Escher.
Because a hexagon shape makes the honeycomb very strong, so less prone to damage, but how the bees know that is a mystery.It is the most efficient use of space and gives the greatest number of cells for a given amount of wax.Actually, if you look more closely at honeycomb the cell itself is more or less circular. It is just that they are arranged in a hexagonal pattern.
the angle that players kick in soccer the angle they swing the bat in baseball the angle they shoot in basketball soccer balls have pentagons and hexagons on them