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Tip revision: a7bf78d3eb3523572f7f306f0108e2c1b81e6a93 authored by Georg Brandl on 09 February 2014, 07:57:59 UTC
news entry
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Tip revision: a7bf78d
lindenmayer.py
#!/usr/bin/env python3
""" turtle-example-suite:
xtx_lindenmayer_indian.py
Each morning women in Tamil Nadu, in southern
India, place designs, created by using rice
flour and known as kolam on the thresholds of
their homes.
These can be described by Lindenmayer systems,
which can easily be implemented with turtle
graphics and Python.
Two examples are shown here:
(1) the snake kolam
(2) anklets of Krishna
Taken from Marcia Ascher: Mathematics
Elsewhere, An Exploration of Ideas Across
Cultures
"""
################################
# Mini Lindenmayer tool
###############################
from turtle import *
def replace( seq, replacementRules, n ):
for i in range(n):
newseq = ""
for element in seq:
newseq = newseq + replacementRules.get(element,element)
seq = newseq
return seq
def draw( commands, rules ):
for b in commands:
try:
rules[b]()
except TypeError:
try:
draw(rules[b], rules)
except:
pass
def main():
################################
# Example 1: Snake kolam
################################
def r():
right(45)
def l():
left(45)
def f():
forward(7.5)
snake_rules = {"-":r, "+":l, "f":f, "b":"f+f+f--f--f+f+f"}
snake_replacementRules = {"b": "b+f+b--f--b+f+b"}
snake_start = "b--f--b--f"
drawing = replace(snake_start, snake_replacementRules, 3)
reset()
speed(3)
tracer(1,0)
ht()
up()
backward(195)
down()
draw(drawing, snake_rules)
from time import sleep
sleep(3)
################################
# Example 2: Anklets of Krishna
################################
def A():
color("red")
circle(10,90)
def B():
from math import sqrt
color("black")
l = 5/sqrt(2)
forward(l)
circle(l, 270)
forward(l)
def F():
color("green")
forward(10)
krishna_rules = {"a":A, "b":B, "f":F}
krishna_replacementRules = {"a" : "afbfa", "b" : "afbfbfbfa" }
krishna_start = "fbfbfbfb"
reset()
speed(0)
tracer(3,0)
ht()
left(45)
drawing = replace(krishna_start, krishna_replacementRules, 3)
draw(drawing, krishna_rules)
tracer(1)
return "Done!"
if __name__=='__main__':
msg = main()
print(msg)
mainloop()