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I make naive, visual exploration of 2D images, which can be described by simple functions, like:

  1. $ y = f(x)$
  2. $ y = f(x,y)$
  3. $f(z) = \begin{cases} k(x,y) \\ h(x,y) \end{cases}$

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I have read about algebraic and differential equations.

These images are used in :

Questions:

Is there some math theory behind such images/functions/transformations ?

What is the difference between above functions?

Adam
  • 1,776
  • Look up "iterated function systems", for example: https://en.m.wikipedia.org/wiki/Barnsley_fern – user619894 Nov 30 '22 at 05:36
  • See also https://en.wikipedia.org/wiki/Domain_coloring – lhf Jan 25 '23 at 11:07
  • See also https://math.stackexchange.com/questions/3236021/is-it-possible-to-graph-complex-zeros-of-a-polynomial – lhf Jan 25 '23 at 11:09
  • @lhf Thx. But my question is what is the relation between clacc of functions and math theories/ problems ? – Adam Jan 25 '23 at 12:58

0 Answers0