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I played with a similar approach a while ago. By changing the algorithm a bit it's possible to create various other beautiful images: https://drive.google.com/
by klntsky 5y ago
I played with a similar approach a while ago. By changing the algorithm a bit it's possible to create various other beautiful images:
https://drive.google.com/drive/folders/1TSgLRdO0tKIFUb6Oj8yNJgUeh2D_WA9-?usp=sharing https://drive.google.com/drive/folders/1TSgLRdO0tKIFUb6Oj8yN...
Here's a link to my post (unfortunately, in Russian) describing the process: https://t.me/little_pieces/822?single https://t.me/little_pieces/822?single
A quick translation:
1. We have a 2D space and a regular shape with N angles, where N is a parameter.
2. Choose a function f : R -> R (e.g. f(x) = x / 2 for Sierpinsky).
3. Choose a random "current" point
4. Choose a random angular point of the N-shape
5. Calculate the distance D between two points. Move the current point to the selected angle point by distance calculated as f(D).
6. Repeat steps 4-5, saving position of the current point on each step, until there is enough data to draw a density map
Another person from gen-club[0] (Russian telegram chat dedicated to generative art) made a 3D-version of it[1][2]:
[0] https://t.me/gen_c https://t.me/gen_c
[1] https://t.me/mathimages/156 https://t.me/mathimages/156
[2] https://codepen.io/strangerintheq/full/ZEKXamr https://codepen.io/strangerintheq/full/ZEKXamr (zoom out at startup)
- hardmath123 5y agoIndeed, you can "learn" (by gradient descent) new parameters to this algorithm, to generate fractals in any target shape that you want! https://hardmath123.github.io/chaos-game-fractal-foliage.html https://hardmath123.github.io/chaos-game-fractal-foliage.htm...