Tuesday, June 20, 2017

Math Puzzle Time: surround three

So that's the puzzle.  I think this was mixed up in my mind with something called frustrated systems and maybe generally, can crystal growth come up with something arbitrarily complexity.  At first I found plenty of boring solutions:

Even radially symmetric ones

Even spirals!

but were there TRULY CREATIVE solutions possible?  Two weeks later, it came to me:

Now... can I write an algorithm to do that?  Better yet, a set of local cellular automata rules that force it?  Better yet... is there a mineral out there that does this?

Can anyone find other kinds of solutions?

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