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@jonaprieto jonaprieto/fractals.py
Last active Aug 13, 2019

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Use python to generate nice and famous fractals
import sys
import turtle
# -- Settings
sys.setrecursionlimit(100000)
wn = turtle.Screen()
wn.bgcolor('black')
cursor = turtle.Turtle()
cursor.color('white')
cursor.pensize(2)
cursor.speed(90000000)
cursor.pila = []
def fixPosition():
cursor.pila.append(list(cursor.position()) + [cursor.heading()])
def backToPosition():
if not len(cursor.pila) is 0:
toPosition(cursor.pila[-1][0], cursor.pila[-1][1])
cursor.setheading(cursor.pila[-1][2])
cursor.pila.pop()
return
def toPosition(x, y):
cursor.up()
cursor.goto(x, y)
cursor.down()
return
fractal = {
'koch': {
'constants': {
'F': 'cursor.forward(5)',
'+': 'cursor.left(90)',
'-': 'cursor.right(90)'
},
'initialState': 'F',
'rules': {
'F': 'F+F-F-F+F'
},
'steps': 4
},
'koch2': {
'constants': {
'F': 'cursor.forward(5)',
'+': 'cursor.left(90)',
'-': 'cursor.right(90)'
},
'initialState': 'F+F+F+F',
'rules': {
'F': 'F+F-F-FF+F+F-F'
},
'steps': 3
},
'cesaro': {
'constants': {
'F': 'cursor.forward(7)',
'+': 'cursor.right(85)',
'-': 'cursor.left(85)'
},
'initialState': 'F',
'rules': {
'F': 'F-F++F-F'
},
'steps': 6
},
'sierpinski': {
'constants': {
'A': 'cursor.forward(4)',
'B': 'cursor.forward(4)',
'+': 'cursor.left(60)',
'-': 'cursor.right(60)'
},
'initialState': 'A',
'rules': {
'A': 'B-A-B',
'B': 'A+B+A'
},
'steps': 6
},
'sierpinski2': {
'constants': {
'F': 'cursor.forward(7)',
'G': 'cursor.forward(7)',
'+': 'cursor.right(120)',
'-': 'cursor.left(120)'
},
'initialState': 'F-G-G',
'rules': {
'F': 'F-G+F+G-F',
'G': 'GG'
},
'steps': 5
},
'dragon': {
'constants': {
'X': 'cursor.color("white")',
'Y': 'cursor.color("white")',
'F': 'cursor.forward(5)',
'+': 'cursor.right(90)',
'-': 'cursor.left(90)'
},
'initialState': 'FX',
'rules': {
'X': 'X+YF',
'Y': 'FX-Y'
},
'steps': 15
},
'plant': {
'constants': {
'F': 'cursor.forward(5)',
'X': 'cursor.color("white")',
'+': 'cursor.right(25)',
'-': 'cursor.left(25)',
'[': 'fixPosition()',
']': 'backToPosition()'
},
'initialState': 'X',
'rules': {
'X': 'F-[[X]+X]+F[+FX]-X',
'F': 'FF'
},
'steps': 6
},
'plant2': {
'constants': {
'F': 'cursor.forward(2)',
'X': 'cursor.color("white")',
'+': 'cursor.right(25.7)',
'-': 'cursor.left(25.7)',
'[': 'fixPosition()',
']': 'backToPosition()'
},
'initialState': 'X',
'rules': {
'X': 'F[+X][-X]FX',
'F': 'FF'
},
'steps': 5
},
}
def chainGeneration(fractalName='koch', s='', step=0):
if s is '':
return chainGeneration(fractalName,
fractal[fractalName]['initialState'],
step - 1)
if step >= 0:
rules = fractal[fractalName]['rules']
L = [rules[c] if c in rules else c for c in s]
L = ''.join(L)
return chainGeneration(fractalName, L, step - 1)
return s
def paintChain(fractalName='koch', s=''):
print "steps: ", len(s)
for c in s:
eval(fractal[fractalName]["constants"][c])
return
drawFractal = 'koch'
toPosition(0, 0)
cursor.left(90)
for i in range(1):
c = chainGeneration(
fractalName = drawFractal,
step = fractal[drawFractal]['steps']
)
paintChain(fractalName=drawFractal, s=c)
toPosition(-50 * i, -50 * i)
print "Done", i
turtle.exitonclick()
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