Interestingly, we can apply orbit traps to newton fractals.

Welcome back Ada ! (she looks quite unamused on the right picture)

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@lhp22 Yes, so here it's a newton fractal,

I started with Wikipedia algorithm:
It works fine but you need to provide the derivative function as input

Then I found this, which varies slightly the input of the function and make the difference (basically it's a very simple numerical differentiator). For regular functions it works well:

@lhp22 For the "orbit trap" technique, it's a bit more experimental given there is very few good resources on it.

The idea is that for any complex function you iterate, you create a trajectory for every starting point. The behavior of this trajectory is then used to color the pixel corresponding to the starting point

With bitmap traps, the behavior is: when the trajectory goes into a square of a given size centered to zero, we color the starting point using the pixel in the bitmap that corresponds to the point in the square (not sure I'm 100% clear)

Basically, you have points in your trajectory. If one point is into the square, then you color according to the bitmap mapped on this square (here I'm using Ada)

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