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Revision 4893861ab58544091feab2946648245ac1271e2f authored by Ned Deily on 13 October 2018, 07:01:32 UTC, committed by Ned Deily on 13 October 2018, 07:01:32 UTC
1 parent f55c3ae
Tip revision: 4893861ab58544091feab2946648245ac1271e2f authored by Ned Deily on 13 October 2018, 07:01:32 UTC
3.6.7rc2
3.6.7rc2
Tip revision: 4893861
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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