If you look closely at crystal structures, you will see the familiar hexagon arising in the different ways to do Close-packing of equal spheres. By the way, there’s a hexagon on the north pole of the planet Saturn, known as Saturn's hexagon. read more
The hexagon is one of only three regular polygons that fit together to cover a flat surface without any gaps, the other two being the square and the equilateral triangle. Because a hexagon has more sides than a square or triangle, its area has a more compact fixed perimeter than either one. read more