صور النمطي هندسي متكرر في بيثون. تجول

الفركتل هو شيء أو كمية تُظهر التشابه الذاتي (بالمعنى الرسمي) على أي نطاق. لا يعرض الكائن هياكل متطابقة بمقاييس مختلفة ، ولكن يجب أن تظهر الهياكل من "النوع" نفسه على جميع مستويات الفراكتل. في هذه الحالة ، يتم رسم الرسم البياني في نظام إحداثيات بمقياس لوغاريتمي ، حيث يتم حساب الحجم والمقياس على طول المحاور ، ثم الرسم البياني هو خط مستقيم مع منحدر يعكس أبعاد الفراكتل. - عالم الرياضيات

• الزحف إلى الأمام
• تدوير الزاوية اليسرى
• تدوير الزاوية اليمنى

• سجل كتم الصوت
• تمكين التسجيل

نظام Lindenmeyer ، المعروف أيضًا باسم L-system ، هو عبارة عن آلية لإعادة كتابة الخط يمكن استخدامها لتوليد فركتلات بأبعاد من 1 إلى 2 - عالم الرياضيات

• : , L-.
• : .
• : , .

• F: الزحف إلى الأمام
• +: إستدر لليمين
• -: انعطف لليسار

axiom = "F--F--F"
rules = {"F":"F+F--F+F"}
iterations = 4 # TOP: 7
angle = 60

axiom = "F+F+F+F"
rules = {"F":"F-F+F+FFF-F-F+F"}
iterations = 2 # TOP: 4
angle = 90

axiom = "F+F+F+F"
rules = {"F":"FF+F++F+F"}
iterations = 3 # TOP: 6
angle = 90

axiom = "F--F"
rules = {"F":"F-F+F+F-F"}
iterations = 4 # TOP: 6
angle = 90

axiom = "F-F-F-F"
rules = {"F":"F-F+F+F-F"}
iterations = 4 # TOP: 6
angle = 90

axiom = "F"
rules = {"F":"+F--F+"}
iterations = 10 # TOP: 16
angle = 45

axiom = "YF"
rules = {"X":"YF+XF+Y", "Y":"XF-YF-X"}
iterations = 1 # TOP: 10
angle = 60

axiom = "FXF--FF--FF"
rules = {"F":"FF", "X":"--FXF++FXF++FXF--"}
iterations = 7 # TOP: 8
angle = 60

axiom = "F+F+F+F"
rules = {"F":"FF+F+F+F+FF"}
iterations = 3 # TOP: 5
angle = 90

axiom = "F+F+F+F"
rules = {"F":"FF+F-F+F+FF"}
iterations = 3 # TOP: 4
angle = 90

axiom = "F+F+F+F"
rules = {"F":"FF+F+F+F+F+F-F"}
iterations = 2 # TOP: 4
angle = 90

axiom = "F+F+F+F"
rules = {"F":"F+F-F+F+F"}
iterations = 3 # TOP: 6
angle = 90

axiom = "F++F++F++F++F"
rules = {"F":"F++F++F+++++F-F++F"}
iterations = 1 # TOP: 5
angle = 36

axiom = "F+F+F+F"
rules = {"F":"-F+F-F-F+F+FF-F+F+FF+F-F-FF+FF-FF+F+F-FF-F-F+FF-F-F+F+F-F+"}
iterations = 3 # TOP: 3
angle = 90

axiom = "FX"
rules = {"X":"X+YF++YF-FX--FXFX-YF+", "Y":"-FX+YFYF++YF+FX--FX-Y"}
iterations = 4 # TOP: 6
angle = 60

axiom = "F+XF+F+XF"
rules = {"X":"XF-F+F-XF+F+XF-F+F-X"}
iterations = 4 # TOP: 8
angle = 90

axiom = " -X--X"
rules = {"X":"XFX--XFX"}
iterations = 3 # TOP: 9
angle = 45

axiom = "YF"
rules = {"X": "XFX-YF-YF+FX+FX-YF-YFFX+YF+FXFXYF-FX+YF+FXFX+YF-FXYF-YF-FX+FX+YFYF-", 
        "Y": "+FXFX-YF-YF+FX+FXYF+FX-YFYF-FX-YF+FXYFYF-FX-YFFX+FX+YF-YF-FX+FX+YFY"}
iterations = 2 # TOP: 3
angle = 90

axiom = "LFL-F-LFL"
rules = {"L":"+RF-LFL-FR+", "R":"-LF+RFR+FL-"}
iterations = 0 # TOP: 8
angle = 90

axiom = "L"
rules = {"L":"+RF-LFL-FR+", "R":"-LF+RFR+FL-"}
iterations = 8 # TOP: 9
angle = 90

axiom = "X"
rules = {"X":"XFYFX+F+YFXFY-F-XFYFX", "Y":"YFXFY-F-XFYFX+F+YFXFY"}
iterations = 4 # TOP: 6
angle = 90

axiom = "F"
rules = {"F":"F+F-F-F-F+F+F+F-F"}
iterations = 2 # TOP: 5
angle = 90

axiom = "F+F+F+F"
rules = {"F":"F+FF++F+F"}
iterations = 3 # TOP: 6
angle = 90

axiom = "F+F+F"
rules = {"F":"F-F+F"}
iterations = 2 # TOP: 9
angle = 120

axiom = "FX"
rules = {"X":"X+YF+", "Y":"-FX-Y"}
iterations = 8 # TOP: 16
angle = 90

axiom = "F"
rules = {"F":"F-F+F"}
iterations = 5 # TOP: 10
angle = 120

axiom = "FX+FX"
rules = {"X":"X+YF+", "Y":"-FX-Y"}
iterations = 6 # TOP: 16
angle = 90

axiom = "FX+FX+FX"
rules = {"X":"X+YF+", "Y":"-FX-Y"}
iterations = 7 # TOP: 15
angle = 90

import turtle

def create_l_system(iters, axiom, rules):
    start_string = axiom
    if iters == 0:
        return axiom
    end_string = ""
    for _ in range(iters):
        end_string = "".join(rules[i] if i in rules else i for i in start_string)
        start_string = end_string

    return end_string


def draw_l_system(t, instructions, angle, distance):
    for cmd in instructions:
        if cmd == 'F':
            t.forward(distance)
        elif cmd == '+':
            t.right(angle)
        elif cmd == '-':
            t.left(angle)


def main(iterations, axiom, rules, angle, length=8, size=2, y_offset=0,
        x_offset=0, offset_angle=0, width=450, height=450):

    inst = create_l_system(iterations, axiom, rules)

    t = turtle.Turtle()
    wn = turtle.Screen()
    wn.setup(width, height)

    t.up()
    t.backward(-x_offset)
    t.left(90)
    t.backward(-y_offset)
    t.left(offset_angle)
    t.down()
    t.speed(0)
    t.pensize(size)
    draw_l_system(t, inst, angle, length)
    t.hideturtle()

    wn.exitonclick()

import turtle

def create_l_system(iters, axiom, rules):
    start_string = axiom
    if iters == 0:
        return axiom
    end_string = ""
    for _ in range(iters):
        end_string = "".join(rules[i] if i in rules else i for i in start_string)
        start_string = end_string

    return end_string

def draw_l_system(t, instructions, angle, distance):
    for cmd in instructions:
        if cmd == 'F':
            t.forward(distance)
        elif cmd == '+':
            t.right(angle)
        elif cmd == '-':
            t.left(angle)

def main(iterations, axiom, rules, angle, length=8, size=2, y_offset=0,
        x_offset=0, offset_angle=0, width=450, height=450):

    inst = create_l_system(iterations, axiom, rules)

    t = turtle.Turtle()
    wn = turtle.Screen()
    wn.setup(width, height)

    t.up()
    t.backward(-x_offset)
    t.left(90)
    t.backward(-y_offset)
    t.left(offset_angle)
    t.down()
    t.speed(0)
    t.pensize(size)
    draw_l_system(t, inst, angle, length)
    t.hideturtle()

    wn.exitonclick()