# Julia set example

An example showing the Julia set displayed as a z-warped surface.

The Julia set is a fractal (see http://en.wikipedia.org/wiki/Julia_set ). We display it here in a canyon-like view using mlab’s surf function: `mayavi.mlab.surf()`.

Python source code: `julia_set.py`

    # Author: Gael Varoquaux <gael.varoquaux@normalesup.org>
    # Copyright (c) 2008, Enthought, Inc.
    # License: BSD Style.

    from mayavi import mlab
    import numpy as np

    # Calculate the Julia set on a grid
    x, y = np.ogrid[-1.5:0.5:500j, -1:1:500j]
    z = x + 1j * y

    julia = np.zeros(z.shape)

    for i in range(50):
        z = z ** 2 - 0.70176 - 0.3842j
        julia += 1 / float(2 + i) * (z * np.conj(z) > 4)

    # Display it
    mlab.figure(size=(400, 300))
    mlab.surf(julia, colormap='gist_earth', warp_scale='auto', vmax=1.5)

    # A view into the "Canyon"
    mlab.view(65, 27, 322, [30., -13.7,  136])
    mlab.show()