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It's an interesting/challenging exercise to work through implementing some basic functions in BF, ie thinking only in loops.
I implemented an optimizing interpreter in Bash[1] on a plane ride, and it's still one of my favorite pet projects.
[1]: https://github.com/Gandalf-/BrainBash
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Brainfuck makes it very easy to benchmark various optimizations that you can do to its interpreter.[0] Rendering a Mandelbrot set goes from 28.57 to 6.49 seconds with basic preprocessing!
[0] https://github.com/siraben/bf
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Quine relay [1] is to this day the most "I will never understand this" brainfuck project I have ever seen.
[1] https://github.com/mame/quine-relay