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Diffstat (limited to 'Demo/turtle/tdemo_lindenmayer_indian.py')
-rw-r--r-- | Demo/turtle/tdemo_lindenmayer_indian.py | 119 |
1 files changed, 119 insertions, 0 deletions
diff --git a/Demo/turtle/tdemo_lindenmayer_indian.py b/Demo/turtle/tdemo_lindenmayer_indian.py new file mode 100644 index 0000000..07dd936 --- /dev/null +++ b/Demo/turtle/tdemo_lindenmayer_indian.py @@ -0,0 +1,119 @@ +#!/usr/bin/python +""" 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 tkinter.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() |