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@ebleuj
generative gif tests
Is this IFS generated? Either way, it’s neat.
The Sierpinski triangle, an example of a fractal with some interesting properties. It is named after mathematician Waclaw Sierpinski who formally introduced it in 1915; however, the design had cropped up in objets d’art for centuries before that. This particular Sierpinski triangle appears to be drunk; generally they do not move around so much.
Keep reading
From Falconer’s Fractal Geometry, for anyone interested:
Basically you can take any shape you want to start with, and then scale it and rotate it down according to a set of functions that map points in a bigger domain to other points in a more restricted domain, which you then plug back in and repeat until your fixed points make an interesting pattern, which Falconer points out is usually a fractal.
The reason I asked about IFS is because you can stretch, skew, and shrink shapes using affine transforms:
And you might be able to make it wiggle by varying those stretch and skew factors. Although I wouldn’t be shocked if the code for this was just wiggling the vertices manually.
Hey! So my community college is putting on a performance of Arcadia and this is one of the main mathematical themes! My community college professor asked me to come speak to the actors so they can understand what they’re talking about and it was SO FUN. 💖
That’s pretty neat!
Hey I’m the author of this gif (and the author of the reddit post), glad to see the attention about it ! I’m using this account to answer to avoid a large discussion post on my rather artistic blog @necessary-disorder. The most accurate thing I can give to explain how it’s made is to give its code (programmed in Processing) :
link to the code
(The first large part of the code (before “/////...///”) is simply something to render with motion blur.)
I don’t know much about IFS but this is implemented using recursivity. Each triangle has 3 children, and you start with one large triangle. To show one triangle you show its 3 children, excepted when you reached the maximum depth : in that case you just show one white triangle. The function “show” takes the positions of the 3 vertices of the triangle as input, and calls “show” on its 3 children (excepted when you reach max depth). The inputs for the new calls are computed with some interpolation between vertices with a random value (called “noise”) that loops through time.
If you have any question regarding the code, let me know.
Here’s an alternative version with other random values
And here’s a tweet when you can see it oscillate between no distortion and distortion !
Inspired by Hubble Deep Field
I didn’t post this version on my main blog @necessary-disorder because I thought it may be too fast, now I think it’s not that bad...
as requested, version without hands of this
Simulation tests
I’m not sure this is good enough for @necessary-disorder so I post those here (and with a colorful thing !)
Some new random gifs.
Double and triple spring trajectory plot
Spring simulation
I just reblogged my first posts from this blog. Those posts are important for me for many reasons : they made me discover tumblr and that’s how I began being interested in gif art/Processing, by looking at the recommended blogs.
Those meshes of perfect mazes were made just by writing all the triangle positions in a file with some code. Actually it was done in two steps : generating a rectangular mesh and then applying a distortion of space with maths only. It was coded with Objective Caml.
Then I generated some mazes on torus (the triangles look glitched without a good distortion of space, but after applying a nice distortion to the rectangular mesh it looks perfect).
I rendered the meshes using blender.