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Drawing Julia sets for Newton mappings

Harry-icl edited this page Jun 15, 2021 · 1 revision

Drawing Julia sets for Newton mappings is again very similar to the other mappings. Here we need to instead import either QuadraticNewtonMapping or CubicNewtonMapping, depending on which function we would like to see the Newton mapping for, and then we draw the Julia set in a very similar way:

from julia import QuadraticNewtonMapping

qnm = QuadraticNewtonMapping(c=1)
im = qnm.draw_julia(res_x=1440, res_y=1440)

Again, we create an instance of a Map object and then we draw the Julia set for that object, we can then manipulate im using various methods on the Pillow.Image.Image object.