# Fractal Tree

By Monty, 17th April 2015

This program draws a ‘tree’ by drawing a trunk (initially; later it’s a branch) and appending a tree, recursively. Uses Pillow.

# Adapted from http://rosettacode.org/wiki/Fractal_tree#Python
# to parameterise, and add colour.
# http://pillow.readthedocs.org/
# Author: Alan Richmond, Python3.codes, and others (Rosettacode)
import math, colorsys
from PIL import Image, ImageDraw
spread = 17 # how much branches spread apart
width, height = 1000, 800 # window size
maxd = 12 # maximum recursion depth
len = 8.0 # branch length factor
# http://pillow.readthedocs.org/en/latest/reference/Image.html
img = Image.new('RGB', (width, height))
# http://pillow.readthedocs.org/en/latest/reference/ImageDraw.html
d = ImageDraw.Draw(img)
# This function calls itself to add sub-trees
def drawTree(x1, y1, angle, depth):
if depth > 0:
# compute this branch's next endpoint
x2 = x1 + int(math.cos(math.radians(angle)) * depth * len)
y2 = y1 + int(math.sin(math.radians(angle)) * depth * len)
# https://docs.python.org/2/library/colorsys.html
(r, g, b) = colorsys.hsv_to_rgb(float(depth) / maxd, 1.0, 1.0)
R, G, B = int(255 * r), int(255 * g), int(255 * b)
# draw the branch
d.line([x1, y1, x2, y2], (R, G, B), depth)
# and append 2 trees by recursion
drawTree(x2, y2, angle - spread, depth - 1)
drawTree(x2, y2, angle + spread, depth - 1)
# Start drawing!
drawTree(width / 2, height * 0.9, -90, maxd)
img.show()
img.save("Tree.png", "PNG")

**Wikipedia**:

**Python Imaging Library** (abbreviated as **PIL**) (in newer versions known as Pillow) is a free library for the Python programming language that adds support for opening, manipulating, and saving many different image file formats. It is available for Windows, Mac OS X and Linux. The latest version of PIL is 1.1.7, was released in September 2009 and supports Python 1.5.2–2.7, with Python 3 support to be released "later".

Development appears to be discontinued with the last commit to the PIL repository coming in 2011. Consequently, a successor project called **Pillow** has forked the PIL repository and added Python 3.x support. This fork has been adopted as a replacement for the original PIL in Linux distributions including Debian and Ubuntu (since 13.04).

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Tags:

color,

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cos,

events,

fractal,

HSV,

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recursion,

RGB,

sin
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