👼🏼 🛌🏻 🆕 How to Create Generative Art with L-Systems in Python 😼 👨‍🔧 👈🏿

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# define L-system
AXIOM = 'A'
RULES = {'A': 'AB',
         'B': 'A'}


# initialize 
productions = [AXIOM]
iterations = 7


def generate_d0l(axiom, productions, iterations):
    def rewrite_l(word):
        productions.append(''.join([RULES.get(c) or c for c in word]))
        return productions[-1]


    if iterations == 0:
        return axiom
    else:
        return rewrite_l(generate_d0l(axiom, productions, iterations - 1))


# main
generate_d0l(AXIOM, productions, iterations)
print(''.join([f"{i}: {p}\n" for i,p in enumerate(productions)]))

0: A
1: AB
2: ABA
3: ABAAB
4: ABAABABA
5: ABAABABAABAAB
6: ABAABABAABAABABAABABA
7: ABAABABAABAABABAABABAABAABABAABAAB

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AXIOM = "X"
RULES = {"X": "F+[[X]-X]-F[-FX]+X",
         "F": "FF"}
productions = [AXIOM]
generate_d0l(AXIOM, productions, iterations)
print(''.join([f"{i}: {p}\n" for i,p in enumerate(productions)]))

0: X
1: F+[[X]-X]-F[-FX]+X
2: FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X
3: FFFF+[[FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FFFF[-FFFFFF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]+FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X
4: FFFFFFFF+[[FFFF+[[FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FFFF[-FFFFFF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]+FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FFFF+[[FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FFFF[-FFFFFF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]+FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FFFFFFFF[-FFFFFFFFFFFF+[[FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FFFF[-FFFFFF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]+FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]+FFFF+[[FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FFFF[-FFFFFF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]+FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X
5: FFFFFFFFFFFFFFFF+[[FFFFFFFF+[[FFFF+[[FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FFFF[-FFFFFF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]+FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FFFF+[[FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FFFF[-FFFFFF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]+FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FFFFFFFF[-FFFFFFFFFFFF+[[FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FFFF[-FFFFFF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]+FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]+FFFF+[[FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FFFF[-FFFFFF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]+FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FFFFFFFF+[[FFFF+[[FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FFFF[-FFFFFF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]+FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FFFF+[[FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FFFF[-FFFFFF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]+FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FFFFFFFF[-FFFFFFFFFFFF+[[FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FFFF[-FFFFFF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]+FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]+FFFF+[[FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FFFF[-FFFFFF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]+FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FFFFFFFFFFFFFFFF[-FFFFFFFFFFFFFFFFFFFFFFFF+[[FFFF+[[FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FFFF[-FFFFFF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]+FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FFFF+[[FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FFFF[-FFFFFF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]+FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FFFFFFFF[-FFFFFFFFFFFF+[[FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FFFF[-FFFFFF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]+FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]+FFFF+[[FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FFFF[-FFFFFF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]+FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]+FFFFFFFF+[[FFFF+[[FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-X]-F[-FX]+X]-FFFF[-FFFFFF+[[F+[[X]-X]-F[-FX]+X]-F+[[X]-X]-F[-FX]+X]-FF[-FFF+[[X]-X]-F[-FX]+X]+F+[[X]-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6: 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, . - , :

«F» « [ ] »;
«-» « », , 30°;
«+» « 30°»;
«X» - .

«[» , «]», . , , .

D0L , . : . , L- . , F :

p1: F(0.33) → F[+F]F[−F]F
p2: F(0.33) → F[+F]F
p3: F(0.34) → F[−F]F

Python :

from numpy.random import default_rng

AXIOM = "F"
RULES = {"F": ["F[+F]F[−F]F", "F[+F]F", "F[−F]F"]}
productions = [AXIOM]
iterations = 3


rng = default_rng()
def generate_stochastic(axiom, productions, iterations):
    def get_stochastic_rule(letter):
        if letter not in RULES.keys():
            return letter
        else:
            return RULES.get(letter)[rng.choice(3,1)[0]]


    def rewrite_l(word):
        productions.append(''.join([get_stochastic_rule(c) for c in word]))
        return productions[-1]


    if iterations == 0:
        return axiom
    else:
        return rewrite_l(generate_stochastic(axiom, productions, iterations - 1))


generate_stochastic(AXIOM, productions, iterations)
print(''.join([f"{i}: {p}\n" for i,p in enumerate(productions)]))

0: F
1: F[−F]F
2: F[−F]F[−F[−F]F]F[−F]F
3: F[−F]F[−F[−F]F]F[−F]F[−F[−F]F[−F[+F]F]F[+F]F[−F]F]F[+F]F[−F[+F]F[−F]F]F[+F]F[−F]F

0: F
1: F[+F]F[−F]F
2: F[+F]F[−F]F[+F[+F]F]F[−F]F[−F[+F]F[−F]F]F[+F]F[−F]F
3: F[−F]F[+F[+F]F]F[+F]F[−F[+F]F]F[+F]F[−F]F[+F[−F]F[+F[+F]F]F[−F]F]F[+F]F[−F[+F]F[−F]F]F[+F]F[−F]F[−F[−F]F[+F[−F]F]F[−F]F[−F[+F]F]F[+F]F[−F]F]F[+F]F[−F]F[+F[+F]F[−F]F]F[−F]F[−F[+F]F[−F]F]F[+F]F[−F]F

L- , L- . Anabaena catenula ( ):

from collections import namedtuple


# parameters
F = namedtuple('F', ['s', 't', 'o'])  # parameterized cell
s = {2: "AS", 1: "BS"}  # cell size
t = {1: "A", 2: "B"}  # cell type
o = {1: "right", -1: "left"}  # cell orientation

AXIOM = [F(1, 2, 1)]
RULES = {F(2,1,1):  [F(2,1,-1), F(1,2,1)],
         F(2,1,-1): [F(1,2,-1), F(2,1,1)],
         F(1,2,1):  [F(2,1,1)],
         F(1,2,-1): [F(2,1,-1)],
        }
productions = [AXIOM]
iterations = 5


def unnest(list_, unnested_=None):
    """Utility function to unnest arbitrarily deep list of lists
    """
    if unnested_ is None:
        unnested_ = []
    for x in list_:
        if not isinstance(x, list):
            unnested_.append(x)
        if isinstance(x, list):
            unnest(x, unnested_)
    return unnested_


def generate_parametric(axiom, productions, iterations):
    def rewrite_l(word):
        productions.append(unnest([RULES.get(c) or c for c in unnest(word)]))
        return productions[-1]


    if iterations == 0:
        return [axiom]
    else:
        return rewrite_l(generate_parametric(axiom, productions, iterations - 1))


generate_parametric(AXIOM, productions, iterations)
print(''.join([f"{i}: {p}\n" for i,p in enumerate(productions)]))

0: [F(s=1, t=2, o=1)]
1: [F(s=2, t=1, o=1)]
2: [F(s=2, t=1, o=-1), F(s=1, t=2, o=1)]
3: [F(s=1, t=2, o=-1), F(s=2, t=1, o=1), F(s=2, t=1, o=1)]
4: [F(s=2, t=1, o=-1), F(s=2, t=1, o=-1), F(s=1, t=2, o=1), F(s=2, t=1, o=-1), F(s=1, t=2, o=1)]
5: [F(s=1, t=2, o=-1), F(s=2, t=1, o=1), F(s=1, t=2, o=-1), F(s=2, t=1, o=1), F(s=2, t=1, o=1), F(s=1, t=2, o=-1), F(s=2, t=1, o=1), F(s=2, t=1, o=1)]

, L- , +, −, ∗, /; ∧, <, >, =; !, &, | (, , ) . . , time, . .

pyp5js - Python

L-, Logo. , , , L- .

«The Nature of Code» Processing. , , , p5js, «... Processing ». , :

AXIOM = 'G'
RULES = {
    'F': 'FF',
    'G': 'F-[[G]+G]+F[+FG]-G'
}
productions = [AXIOM]
generate_d0l(AXIOM, productions, iterations=5)
print(''.join([f"{i}: {p}\n" for i,p in enumerate(productions)]))

0: G
1: F-[[G]+G]+F[+FG]-G
2: FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G
3: FFFF-[[FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFF[+FFFFFF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]-FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G
4: FFFFFFFF-[[FFFF-[[FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFF[+FFFFFF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]-FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFF-[[FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFF[+FFFFFF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]-FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFFFFFF[+FFFFFFFFFFFF-[[FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFF[+FFFFFF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]-FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]-FFFF-[[FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFF[+FFFFFF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]-FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G
5: FFFFFFFFFFFFFFFF-[[FFFFFFFF-[[FFFF-[[FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFF[+FFFFFF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]-FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFF-[[FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFF[+FFFFFF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]-FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFFFFFF[+FFFFFFFFFFFF-[[FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFF[+FFFFFF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]-FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]-FFFF-[[FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFF[+FFFFFF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]-FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFFFFFF-[[FFFF-[[FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFF[+FFFFFF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]-FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFF-[[FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFF[+FFFFFF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]-FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFFFFFF[+FFFFFFFFFFFF-[[FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFF[+FFFFFF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]-FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]-FFFF-[[FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFF[+FFFFFF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]-FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFFFFFFFFFFFFFF[+FFFFFFFFFFFFFFFFFFFFFFFF-[[FFFF-[[FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFF[+FFFFFF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]-FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFF-[[FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFF[+FFFFFF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]-FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFFFFFF[+FFFFFFFFFFFF-[[FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFF[+FFFFFF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]-FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]-FFFF-[[FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFF[+FFFFFF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]-FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]-FFFFFFFF-[[FFFF-[[FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFF[+FFFFFF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]-FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFF-[[FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFF[+FFFFFF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]-FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFFFFFF[+FFFFFFFFFFFF-[[FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFF[+FFFFFF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]-FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]-FFFF-[[FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]+FFFF[+FFFFFF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G]-FF-[[F-[[G]+G]+F[+FG]-G]+F-[[G]+G]+F[+FG]-G]+FF[+FFF-[[G]+G]+F[+FG]-G]-F-[[G]+G]+F[+FG]-G

L- p5js, thefractal.zone. , θ=30° . , 5 , ( ). Python : iterations=10 , Deepnote IOPub data rate exceeded. — Python.

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pyp5js, Processing Python p5.js Transcrypt.

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How to Create Generative Art with L-Systems in Python

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