# Programming Fractals in Python

## Learn how to create beautiful fractals through Python.

Mar 2 · 7 min read

# The Koch Snowflake

`import turtle`
`def koch_fract(turtle, divis, size):   if(divis == 0):      turtle.forward(size)   else:      for angle in [60, -120, 60, 0]:         koch_fract(turtle, divis - 1, size / 3)                        turtle.left(angle)`
`divis = 10 # any number of divisions, the larger the number, the more detailed the diagramsize = 2000 # any length`
`wn = turtle.Screen()wn.setup(width=1000, height=500)turtle.speed(100)turtle.pendown()`
`for i in range(0, 3):   koch_fract(turtle, divis, size)   turtle.left(-120)`

# The Barnsley Fern

`import matplotlib.pyplot as plt from random import randint`
`x = [0]y = [0]`
`for i in range(0, 50000):       p = randint(1, 100)           if p == 1:         x.append(0)         y.append(0.16*(y[i]))              if p >= 2 and p <= 86:         x.append(0.85*(x[i]) + 0.04*(y[i]))         y.append(-0.04*(x[i]) + 0.85*(y[i])+1.6)           if p >= 87 and p <= 93:         x.append(0.2*(x[i]) - 0.26*(y[i]))         y.append(0.23*(x[i]) + 0.22*(y[i])+1.6)               if p >= 94 and p <= 100:         x.append(-0.15*(x[i]) + 0.28*(y[i]))         y.append(0.26*(x[i]) + 0.24*(y[i])+0.44)`
`plt.scatter(x, y, s = 0.2, c ='#5dbb63') plt.axis("off")plt.show()`

# The Mandelbrot Set

`import numpy as npimport matplotlib.pyplot as plt`
`def mandelbrot(c, z):   global iterations   count = 0   for a in range(iterations):      z = z**2 + c      count += 1              if(abs(z) > 4):         break   return count`
`def mandelbrot_set(x, y):   m = np.zeros((len(x), len(y)))   for i in range(len(x)):      for j in range(len(y)):         c = complex(x[i], y[j])         z = complex(0, 0)         count = mandelbrot(c, z)         m[i, j] = count       return m`
`# creating our x and y arraysx = np.linspace(-2, 1, rows)y = np.linspace(-1, 1, cols)# create our mandelbrot setm = mandelbrot_set(x, y) # plot the set (best colors: binary, hot, bone, magma)plt.imshow(m.T, cmap = "magma")plt.axis("off")plt.show()`

## Nerd For Tech

From Confusion to Clarification

## Nerd For Tech

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Written by

## Monique Cheng

A Filipino high-schooler studing in Singapore who likes to code. I literally just code whatever I want. Sometimes I also post random opinions :)

## Nerd For Tech

An Educational Media House

## Cassandra TTL intricacies and usage by examples

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