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I almost read the title as about rendering it in a 4KB binary - realtime fractal rendering is a pretty common effect in the demoscene and definitely doable in that size category. Here are some examples:

https://www.youtube.com/watch?v=0w_xEUoK79o

https://www.youtube.com/watch?v=lvC8maVHh8Q

https://www.youtube.com/watch?v=aFCcneO5HIA




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