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Author Topic: You know, I hadn't expected this when I learned about fractals years ago...  (Read 1659 times)
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Max Sinister
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« on: May 03, 2016, 10:59:22 PM »

But it does make sense that you find fractals everywhere.
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Tglad
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« Reply #1 on: May 04, 2016, 08:21:07 AM »

... since fractal geometry generalises Euclidean geometry?
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Max Sinister
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« Reply #2 on: May 04, 2016, 07:30:57 PM »

... No, that's not what I meant.
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zebastian
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« Reply #3 on: May 04, 2016, 07:35:23 PM »

Well, then what is it you mean? smiley
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Max Sinister
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« Reply #4 on: May 06, 2016, 09:08:32 PM »

Which part of my first post wasn't clear?
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cKleinhuis
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« Reply #5 on: May 07, 2016, 08:40:52 AM »

max, this clearance comes when thinking about the fractals and the way they are formed, nevertheless the statement of tglad is the same with other (mathematical) words

chaos theory is a way to describe non smooth surfaces, smooth surfaces - like circles, spheres, cubes, triangles, pyramids - do not present fractal properties because of the straight lines, or for the circle for the clear definition, a circle circumference is exactly 2pi long.... so, since nature is not offering us smooth surfaces anywhere they must be fractal, and hence fractals generalize euclidean (geometric) worldview
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divide and conquer - iterate and rule - chaos is No random!
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