Experimenting with Mathematical Art

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Avatar for stevea68
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3 years ago

I've been enjoying noise.cash and decided to try read.cash, so this is my first post here.

I've been doing some experiments with computer graphics (i.e. the lead image was a variant of the Mandelbrot set) and trying observe what sort of visual qualities different mathematical structures might appear as and have found quite a few interesting discoveries.

Here are a few samples.

Here's an image generated by using some properties extracted from simulations of the 3-body chaotic orbitals "problem" in physics https://en.wikipedia.org/wiki/Three-body_problem

Here is an image generated by a modified version of the Greatest Common Divisor algorithm (GCD https://en.wikipedia.org/wiki/Greatest_common_divisor )

and this is a more recent experiment using a few techniques simultaneously. The left/right symmetry was intentional because it tends to generate pleasant looking images and a function used for color selection was derived from the chaotic characteristic of a recursive logistic mapping https://en.wikipedia.org/wiki/Logistic_map

It's an adventure and "work in progress. Hopefully, I'll have some more interesting finds to share here.

Enjoy

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Avatar for stevea68
Written by
3 years ago

Comments

Good job sir Steve mathematical art is the most difficult one, solving or making a conclusion or even creating art with it. Mathematics is the most common hatred subject by student and really appreciate you sir you make an art with it.

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User's avatar Cris22
3 years ago

Thank you much for the reply. It was hidden and I had to click to specifically view it ... too bad :/

Yes, sometimes people feel intimidated by the subject but at the same time I believe most everyone instinctively and intuitively understand these things but it's the terminology and potential complexity in the details that is the challenge. As a quick example, a child learning to walk is inherently doing complex dynamic non-linear calculus to just mention a part of it. Something like being able to play baseball is super complex, if you were to try to pay attention to all the details but people can learn to do it almost instinctively.

Part of what I enjoy with generating these images is trying to find ways of taking relatively simple things like that and trying to extract / project those properties as an image (I've also generated sound and music using some ideas like these as well ... interesting sounds with sometimes surprising results but only had one semi-success at creating some questionably musical - I ended up manually piecing segments of it together to get an interesting little song out of it)

Don't want to ramble too much but a suggestion I have for anyone interested in getting into it is to start simple, just to get some results and enjoy those simple experiments and, at least in my case, those progressive successes keep growing into something that can get very large and complex over time - if I try to get things all lined up from the start, it almost never gets off the ground hehe :)

Glad you enjoyed it Cris and best wishes in your pursuits :)

Oh, as a sidenote, if you're interested, there's a collection of more of these images here: https://www.shutterstock.com/g/CreativeCollab

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User's avatar stevea68
3 years ago

I want to have a brain like you ,your so smart sir Steve. Thank you for this response I'm glad to read your response sir. Thank you so much for this ideas from your. I will visit this link you've shared thank you again.

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User's avatar Cris22
3 years ago

Great artwork Steve. I love all of them. Make the next one more descriptive, like your long comments on noise :)

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User's avatar fantagira
3 years ago

Hiya again, Fanta. Yes, maybe if it was longer but ... sighs exhaustedly ... I've been "working" most the day and will need to chillax a bit. Thanks for commenting :)

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User's avatar stevea68
3 years ago

I love listening to all the crickets, Steve. Nice camping spot, Sir. Thank you :)

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User's avatar stevea68
3 years ago
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