Bad Newton FractalGraphics by Paul BourkeInspired by Karl Lee August 2024
The fractal images here are generated by exploring the behaviour of the following series where z_{0} is sampled within a rectangularly bounded region of the complex plane and z_{c} is a complex constant.
Some may recognise this as the Newton Raphson method for finding the roots of the following complex polynomial, except with a constant added term z_{c}.
