Each of the hexagonal cells on the right shows an example of hexagonal pattern. Some are natural, some man-made. Keep reading and you will run into many surprises, as well as enlightening similarities and differences. As you know, each cell will harbor one larva on its way to become a bee. It is something similar to what happens to bubbles when they get together.
Isolated bubbles are spherical but look how they look like when they stick together.
We humans have also managed to figure out how to pack disks, cylinders or spheres efficiently. Again efficient hexagonal packing. We are able to close-pack disks in two dimensions and also spheres in three dimensions. Piles of fruit are a tasty example. Each layer of oranges in this pile is close-packed as the silicon disks above.