>>12589996>patterns on galvanised steellarge polycrystalline grains (since they usually cool slowly)
>sea spray at the edge of the seanot sure what you mean, the bubbles? in which case it is sort of similar to the steel grains
>plasma on the sunlook up convection cells, eg.
https://en.wikipedia.org/wiki/Rayleigh%E2%80%93B%C3%A9nard_convection>cracked mudread this paper, it's really interesting
https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2012.0353Sorry for "not deep" response, but generally speaking these structures look similar but arise by very different causes/mechanisms. The uniting theme is geometry of course, generally to with dividing up a 2D surface (or at least, the surface visible to us as a cross-section of something else) and usually in a way that minimizes energy.
Maybe study up on constructs eg. lattices, Voronoi cells... maybe more examples like biological cells, bee honeycombs...
Have fun OP.
If by "what to study" you mean, "what field", materials science or physics in general is perhaps the "answer" but of course these sort of structures may show up in many fields (eg. biology, geology). And of course, you need math to make sense of them.