Newton Basin Project

egoughnour

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Next: Colored By Iterations

Welcome!

This Python template lets you get started quickly with a simple working example. If it is your first contribution then you should have a look at the Getting Started document.

The source code is on GitHub, please feel free to come up with proposals to improve it.

Hands-on Demo

Is 7 in the basin of attraction of any roots of the cubic z(z-1)(z+1)

from PIL import Image, ImageDraw
from basin import cubicbrot, MAX_ITER
# Image size (pixels)
WIDTH = 600
HEIGHT = 400
# Plot window
RE_START = -2
RE_END = 1
IM_START = -1
IM_END = 1
palette = []
im = Image.new('RGB', (WIDTH, HEIGHT), (0, 0, 0))
draw = ImageDraw.Draw(im)
for x in range(0, WIDTH):
    for y in range(0, HEIGHT):
        # Convert pixel coordinate to complex number
        c = complex(RE_START + (x / WIDTH) * (RE_END - RE_START),
                    IM_START + (y / HEIGHT) * (IM_END - IM_START))
        # Compute the number of iterations
        m = cubicbrot(c)
        # The color depends on the number of iterations
        color = 255 - int(m * 255 / MAX_ITER)
        # Plot the point
        draw.point([x, y], (color, color, color))
im.save('output.png', 'PNG')

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1/3 Newton Basin (Faint)

Welcome!

Hands-on Demo

Template Resources

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