I had a wacky dream last night. It was about bees and their math. I dreamt that the reason that bees create combs with six sided hexagon shapes is because, as insects, they have six legs and hence count to the base six.
Computers count in binary, 1's and 0's. That's because each of place in memory can be either on or off. Humans count in decimal because we have 10 digits, 8 of which we call fingers and 2 thumbs.
It's obvious then that bees should use base 6 to count and that should make it equally obvious why the cells in honeycomb are hexagonal.