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: tree.py

#! /usr/bin/python3.12
"""      turtle-example-suite:

tdemo_tree.py

Displays a 'breadth-first-tree' - in contrast
to the classical Logo tree drawing programs,
which use a depth-first-algorithm.

Uses:
(1) a tree-generator, where the drawing is
quasi the side-effect, whereas the generator
always yields None.
(2) Turtle-cloning: At each branching point
the current pen is cloned. So in the end
there are 1024 turtles.
"""
from turtle import Turtle, mainloop
from time import perf_counter as clock

def tree(plist, l, a, f):
    """ plist is list of pens
    l is length of branch
    a is half of the angle between 2 branches
    f is factor by which branch is shortened
    from level to level."""
    if l > 3:
        lst = []
        for p in plist:
            p.forward(l)
            q = p.clone()
            p.left(a)
            q.right(a)
            lst.append(p)
            lst.append(q)
        for x in tree(lst, l*f, a, f):
            yield None

def maketree():
    p = Turtle()
    p.setundobuffer(None)
    p.hideturtle()
    p.speed(0)
    p.getscreen().tracer(30,0)
    p.left(90)
    p.penup()
    p.forward(-210)
    p.pendown()
    t = tree([p], 200, 65, 0.6375)
    for x in t:
        pass

def main():
    a=clock()
    maketree()
    b=clock()
    return "done: %.2f sec." % (b-a)

if __name__ == "__main__":
    msg = main()
    print(msg)
    mainloop()

NAME	TYPE	LAST MODIFIED	SIZE	OWNER / GROUP	PERMISSIONS	ACTION
..
__init__.py	f!le	2026-08-12 13:57	314 B	root / root	-rw-r--r--
__main__.py	f!le	2026-08-12 13:57	15.02 KB	root / root	-rwxr-xr-x
bytedesign.py	f!le	2026-08-12 13:57	4.15 KB	root / root	-rwxr-xr-x
chaos.py	f!le	2026-08-12 13:57	951 B	root / root	-rw-r--r--
clock.py	f!le	2026-08-12 13:57	3.23 KB	root / root	-rwxr-xr-x
colormixer.py	f!le	2026-08-12 13:57	1.31 KB	root / root	-rw-r--r--
forest.py	f!le	2026-08-12 13:57	2.9 KB	root / root	-rwxr-xr-x
fractalcurves.py	f!le	2026-08-12 13:57	3.39 KB	root / root	-rwxr-xr-x
lindenmayer.py	f!le	2026-08-12 13:57	2.38 KB	root / root	-rwxr-xr-x
minimal_hanoi.py	f!le	2026-08-12 13:57	2 KB	root / root	-rwxr-xr-x
nim.py	f!le	2026-08-12 13:57	6.36 KB	root / root	-rw-r--r--
paint.py	f!le	2026-08-12 13:57	1.26 KB	root / root	-rwxr-xr-x
peace.py	f!le	2026-08-12 13:57	1.04 KB	root / root	-rwxr-xr-x
penrose.py	f!le	2026-08-12 13:57	3.3 KB	root / root	-rwxr-xr-x
planet_and_moon.py	f!le	2026-08-12 13:57	2.76 KB	root / root	-rwxr-xr-x
rosette.py	f!le	2026-08-12 13:57	1.33 KB	root / root	-rw-r--r--
round_dance.py	f!le	2026-08-12 13:57	1.76 KB	root / root	-rw-r--r--
sorting_animate.py	f!le	2026-08-12 13:57	4.93 KB	root / root	-rwxr-xr-x
tree.py	f!le	2026-08-12 13:57	1.37 KB	root / root	-rwxr-xr-x
turtle.cfg	f!le	2026-08-12 13:57	160 B	root / root	-rw-r--r--
two_canvases.py	f!le	2026-08-12 13:57	1.09 KB	root / root	-rw-r--r--
yinyang.py	f!le	2026-08-12 13:57	821 B	root / root	-rwxr-xr-x