A simple Mandelbrot set visualization with matplotlib

• python 3
• numpy
• matplotlib
• numba

NOTE: I have only used this with python 3.7, numpy 1.16.2, matplotlib 3.0.3 and numba 0.43.1.

Mandelbrot.__init__(width=9, height=6, dpi=72, extent=[-2,1,-1,1], maxIter=128, cmap="cubehelix", zoom=2):

Parameters:

• width - width of figure in inches
• height - height of figure in inches
• dpi - dot per inch i.e. a measurement for resolution
• extent - an array of the boundary coordinates: [real_min, real_max, imaginary_min, imaginary_max]
• maxIter - maximum iteration used in calculation, a larger value will render more detail
• cmap - the colormap, used for customizing the color of the image, see matplotlib.org/users/colormaps to find one that you prefer
• zoom - zoom parameter

import Mandelbrot as mb

extent = [-0.40, 0.15, 0.63, 1]
mandel = mb.Mandelbrot(extent=extent, cmap="magma")
mandel.plot()

This will create a matplotlib figure like this:

Clicking on the hyperbolic component in the middle updates the figure: