I just started my investigations about tesselations and tilings for some very special kind of design Project. I came over that image:
It shows a part of the Giant Pufferfish's skin and I am very curious about to find out how this pattern could be generated, so that it can be continued infinite in x- and y-direction, without self-repeating.
However I am not a mathematician and quite new to this Topic, so I appreciate any Kind of Help or Hint that gives me some guidance.
Thanks in ahead!
The first mathematician I know to tackle the problem of pattern formation in chemical processes and biological morphogenesis was Alan Turing in his seminal paper "The Chemical Basis of Morphogenesis". As you'll notice, it is not quite what you had in mind. But if you delve into it more deeply you might find things analogous to tesselations. I just doubt that tesselations are really the way to go when describing this type of patterns.
Here's a nice video lecture by professor Philip Maini about that topic.