Script to plot a Barnsley fern using plot.ly. I feel this pushes the boundaries of what the site was made to do, but it works and I like it :)

barnsley.py

# Python 2.7.3 (default, Apr 20 2012, 23:04:22) [GCC 4.6.3]
# Use plot() to plot lists or arrays
# Use print to show results in the command line history

from numpy import matrix
import random


# Define probabilities, multiplication matrices, and transforms
p1 = 0.01
m1 = matrix('0.00, 0.00; 0.00, 0.16')
t1 = matrix('0.00; 0.00')

p2 = 0.85
m2 = matrix('0.85, 0.04; -0.04, 0.85')
t2 = matrix('0.00; 1.60')

p3 = 0.07
m3 = matrix('0.20, -0.26; 0.23, 0.22')
t3 = matrix('0.00; 1.60')

p4 = 0.07
m4 = matrix('-0.15, 0.28; 0.26, 0.24')
t4 = matrix('0.00; 0.44')

x = []
y = []

c = matrix('0; 0')
random.seed()

for i in xrange(20000):
    r = random.random()
	
	if r < p1:
		c = m1 * c + t1
	elif r < (p1 + p2):
		c = m2 * c + t2
	elif r < (p1 + p2 + p3):
		c = m3 * c + t3
	else:
		c = m4 * c + t4
	
	x.append(c[0, 0])
	y.append(c[1, 0])

plot(x, y, {'color': 'green'})