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pattern and process

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A fractal elaboration of a frieze.

If we have a pattern what can we know the process that created it? If we have a process what can we know about its pattern, without running the process? Landscape ecologists, taxonomists and others who study dynamical systems worry about the relationships between pattern and process. I designed the algorithm to make this, but I'm not sure I know the process -- it might be an unconscious process.

"Basically, there are only a few possible forms that underlie the things that are happening in the world. And the feeling is that if I can sort of strip something like the weather down to its rawest mathematical form, I can then look at that form and I can find another system that actually shares the same pattern. Because if there's only a few little patterns and yet there's so many diverse things in the world — lots of things are actually going to have the same pattern. So a cup of tea can be a perfectly good model for a hurricane. And then, to predict what the hurricane's going to do, all you have to do is prepare your cup of tea so it's in the same state as the hurricane. Then you watch it for a minute and read out where the hurricane's going to be. So you begin to use nature as a kind of computing system." Rudy Rucker, describing the premise of his book "Mathematicians in Love", in a 10 Zen Monkeys interview.

"I produce seemingly extremely complex visual forms in an astoundingly simple manner. In my drawings I behave like someone who partakes in nature’s processes. I find an interesting abstract structure. I grasp its visual essence and its hidden logic. I add to it with its own laws of growth.
...
I am influenced by the concept of evo-devo evolutionary developmental biology which is concerned with the formation of organisms. Recent discoveries bring to the visual world totally new dimensions and relationships between the large and the small. I see the world as a universe of giant forms, constructed from an endless amount of repetitious identical particles, rebuilt with the same meticulousness as the large ones.
" Alenka Sottler

Based on Kinky frieze.

[Broken link: Frieze notes. Ripple notes and code.]

Download for 3600 x 3600 px. version.

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pattern and process

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Image size
3620x3760px 1.37 MB
Comments2
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Sesquicentennial's avatar
This is really beautiful