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Revision 8bc7e31529bd10dca2a139ecc0c8838e6021a5a2 authored by Georg Brandl on 06 April 2013, 07:36:20 UTC, committed by Georg Brandl on 06 April 2013, 07:36:20 UTC
1 parent 7684fa8
Tip revision: 8bc7e31529bd10dca2a139ecc0c8838e6021a5a2 authored by Georg Brandl on 06 April 2013, 07:36:20 UTC
Bump to 3.2.4.
Bump to 3.2.4.
Tip revision: 8bc7e31
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()
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