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by scotty79 556 days ago
You can read section Chaos Game here:

https://en.m.wikipedia.org/wiki/Sierpi%C5%84ski_triangle

It basically using the fact that fractal is self similar. So picking one function (that scales whole triangle to one of the one thirds) and transforming single point on a fractal into a new point also gets you a point on the fractal.

If you repeat this process many times you get a lot of points of the fractal.

You can even start the process at any point and it will "get attracted" to the fractal.

That's why fractals are called strange attractors.