def sierpinsky(fn, angle=60, step=6):
turtle = Turtle(fn, (50, 50))
turtle.left(90)
lsystem = LSystem('A', {'A': 'B-A-B', 'B': 'A+B+A'})
turtle.resetpos((400, 400), 180)
lsystem.run(turtle, depth=6, step=step, angle=angle)
turtle.save(fn, frame=(500, 550))
def koch(fn):
turtle = Turtle(fn, (50, 50))
turtle.left(90)
lsystem = LSystem('F--F--F', {'F': 'F+F--F+F'})
turtle.resetpos((100, 150), -90)
lsystem.run(turtle, depth=3, step=6, angle=60)
turtle.save(fn, frame=(200, 200))
def pentaplexity(fn):
"""By: Paul Bourke"""
turtle = Turtle(fn, (50, 50))
turtle.left(90)
lsystem = LSystem('F++F++F++F++F', {'F': 'F++F++F|F-F++F'})
turtle.resetpos((80, 0), 0)
lsystem.run(turtle, depth=4, step=8, angle=36)
turtle.save(fn, frame=(600, 600))
pass
def crystal(fn):
turtle = Turtle(fn, (2, 2))
lsystem = LSystem(
{
'F': lambda: turtle.forward(2),
'+': lambda: turtle.right(90)
}, {'F': 'FF+F++F+F'}, 'F+F+F+F')
lsystem.run(5)
turtle.save(fn, (490, 490))
def paprad(fn):
"""Attributed to Saupe"""
turtle = Turtle(fn, (50, 50))
turtle.left(90)
lsystem = LSystem(
'VZFFF', {
'V': '[+++W][---W]YV',
'W': '+X[-W]Z',
'X': '-W[+X]Z',
'Y': 'YZ',
'Z': '[-FFF][+FFF]F'
})
turtle.resetpos((200, 400), -90)
lsystem.run(turtle, depth=8, step=8, angle=20, thickness='sq')
turtle.save(fn, frame=(500, 550))
def cantor(fn, length=300):
turtle = Turtle(fn, (20, 10))
lsystem = LSystem(
{
'F': lambda: turtle.forward(length),
'f': lambda: turtle.forward(length, usepen=False)
}, {
'F': 'FfF',
'f': 'fff'
}, 'F')
for i in range(7):
turtle.resetpos((0, i * 20))
lsystem.run(i)
length /= 3
turtle.save(fn, (350, 100))
def square_sierpinsky(fn):
angle = 90
length = 3
turtle = Turtle(fn, (10, 100))
turtle.left(90)
lsystem = LSystem(
{
'F': lambda: turtle.forward(length),
'X': lambda: None,
'+': lambda: turtle.right(angle),
'-': lambda: turtle.left(angle)
}, {
'F': 'F',
'X': 'XF-F+F-XF+F+XF-F+F-X'
}, 'F+XF+F+XF')
lsystem.run(4)
turtle.save(fn, (200, 100))
def triangle(fn):
angle = 120
length = 10
turtle = Turtle(fn, (80, 250))
lsystem = LSystem(
{
'F': lambda: turtle.forward(length),
'f': lambda: turtle.forward(length, usepen=False),
'+': lambda: turtle.right(angle),
'-': lambda: turtle.left(angle)
}, {'F': 'F-F+F'}, 'F+F+F')
lsystem.run(0)
turtle.resetpos((50, 0))
lsystem.run(1)
turtle.resetpos((100, 0))
lsystem.run(2)
turtle.resetpos((160, 0))
lsystem.run(3)
turtle.resetpos((280, 0))
lsystem.run(4)
turtle.resetpos((400, 0))
lsystem.run(5)
turtle.save(frame=(500, 150))
def weed(fn):
turtle = Turtle(fn, (10, 500))
turtle.left(90)
lsystem = LSystem('X', {'X': 'F+[[X]-X]-F[-FX]+X', 'F': 'FF'})
turtle.resetpos((50, 0), -90)
lsystem.run(turtle, 1, 6, 25, thickness='sq')
turtle.resetpos((100, 0), -90)
lsystem.run(turtle, 2, 6, 25, thickness='sq')
turtle.resetpos((150, 0), -90)
lsystem.run(turtle, 3, 6, 25, thickness='sq')
turtle.resetpos((200, 0), -90)
lsystem.run(turtle, 4, 6, 25, thickness='sq')
turtle.resetpos((300, 0), -90)
lsystem.run(turtle, 5, 6, 25, thickness='sq')
turtle.save(fn, frame=(480, 20))