beehives
... every angels identical without any tools to measure them. However, what is even more impressive is the reason for those angles. It has been scientifically proven that those angles are the best ones to build hives with biggest volume with minimum materials. A mathematician form Scotland named Maclaurin calculated the ideal angles to make largest hexagonal shaped container using least materials possible. Amazingly, the mathematical answers Maclaurin obtained were 109.25 and 70.32 degrees. Also, the reason why bees choose hexagonal shapes for their houses is should be noted as well. First of all. if you calculate areas of various polygons with same parameters, one with the largest areas is circle. The area gets larger as the shape of the polygon gets closer to the circle. Thus, a triangle has smallest areas, and a pentagon has bigger area than the triangle because its shape is closer to the circle. The problem is, if you build hives with circles, there will be many holes, and not every area of the hive will be used. As it turns out, hexagon is the most circular-shaped polygon that can be fitted together without gaps. Therefore, hexagon is most efficient of al...