You guys might find this interesting.
sample download of The Self-Made Tapestry
The thing with
bees making honeycomb isn't quite as straightforward as this suggests though. If the hexagons really did form just by squooshing bubbles together then the sides would be at random angles, but they *always* form with vertical sides, and the cells on the 'back' of the comb form so that the corners of the cells on one side coincide with the centres of the cells on the other side. The
bees are probably following a very simple build-in algorithm along the lines of
'build down, build down again this far over, when it's this far apart join them so you can fit inside, build down from where they meet.'
I think with basalt it's down to the way cracks form fairly evenly over the whole area. Hexagons are definitely associated with 'space filling'. I love the way they form in pits of rising magma, too. Can't remember what they're called, and I've so far failed to find a good youtube
video. I'm working on it, but I suspect that the way they form is going to have similarities to whatever is creating the hexagonal vortex on Saturn!