#turtle

tord_dellsen@diasp.eu

#JustForFun i created these Sierpinski triangles using #Python's #turtle module | #maths #math #programming #fractals #recursion

import logging
import turtle
import time

SPEED_INT = 5  # 1-10 where 0 is as fast as possible
logging.basicConfig(level=logging.DEBUG)

DISPLAY_WIDTH = 1620
# Turtle setup
screen = turtle.getscreen()
t = turtle.getturtle()
turtle.title("Sierpinski Triangle (using turtle)")
t.shape("turtle")
t.speed(SPEED_INT)
turtle.setheading(0)
# ..set start position
t.penup()
turtle.setx(-DISPLAY_WIDTH // 2)
turtle.sety(-450)
t.pendown()
start_pos = t.pos()

time.sleep(1)


def draw_recursive(i_level: int, i_direction: int):
    """Level 1 is the starting i_starting_level (0 doesn't exist)"""
    logging.debug(f"{i_level * '-'} draw_recursive called with level {i_level}")
    if i_level == 1:
        t.forward(distance)
        return
    draw_recursive(i_level - 1, -i_direction)
    t.left(i_direction * 60)
    draw_recursive(i_level - 1, i_direction)
    t.left(i_direction * 60)
    draw_recursive(i_level - 1, -i_direction)


distance = 0


def draw_(i_starting_level: int, i_pen_color_channel: float = 0.0):
    logging.debug(f"==== draw_ called with starting level {i_starting_level} ====")
    t.penup()
    t.setpos(start_pos)
    t.setheading(0)
    t.pendown()

    global distance
    distance = 1024 / (2 ** (i_starting_level - 1))
    distance = min(100, distance)

    pen_size = distance // 2
    if pen_size < 1:
        raise Exception("Pen size is smaller than one")
    t.pensize(distance // 2)

    t.pencolor((i_pen_color_channel,) * 3)

    if i_starting_level % 2 == 0:
        direction = 1
    else:
        direction = -1
    draw_recursive(i_starting_level, direction)


# draw_(9)

pen_color_channel = 0.8
for i_starting_level in range(5, 8):
    if pen_color_channel < 0:
        raise Exception("Pen color channel smaller than zero")
    draw_(i_starting_level, pen_color_channel)
    pen_color_channel -= 0.2

t.hideturtle()
turtle.done()
tord_dellsen@diasp.eu

#JustForFun i created these #KochSnowflake/s using #Python's #turtle module | #maths #math #programming #fractals #recursion

import logging
import turtle
import time

SPEED_INT = 4  # 1-10 where 0 is as fast as possible
logging.basicConfig(level=logging.DEBUG)

DISPLAY_WIDTH = 1620
# Turtle setup
screen = turtle.getscreen()
t = turtle.getturtle()
turtle.title("Koch Snowflake")
t.shape("turtle")
t.speed(SPEED_INT)
turtle.setheading(0)
# ..set start position
t.penup()
turtle.setx(-DISPLAY_WIDTH // 2)
turtle.sety(-400)
t.pendown()
start_pos = t.pos()

time.sleep(1)


def draw_recursive(i_level: int):
    """Level 1 is the starting level (0 doesn't exist)
    , i_unit_distance: int
    """
    if i_level == 1:
        t.forward(distance)
        return
    draw_recursive(i_level - 1)
    t.left(60)
    draw_recursive(i_level - 1)
    t.right(120)
    draw_recursive(i_level - 1)
    t.left(60)
    draw_recursive(i_level - 1)


def get_distance(i_levels_to_draw):
    distance_ = DISPLAY_WIDTH / (3 ** (i_levels_to_draw - 1))
    return distance_


pen_color_channel = 0.9
pen_size = 16

for i in range(2, 7):
    t.penup()
    t.setpos(start_pos)
    t.pendown()

    levels_to_draw = i
    distance = get_distance(levels_to_draw)
    if pen_size < 1:
        raise Exception("Pen size smaller than one")
    t.pensize(pen_size)
    pen_size = pen_size // 2
    if pen_color_channel < 0:
        raise Exception("Pen color channel smaller than zero")
    t.pencolor((pen_color_channel,) * 3)
    pen_color_channel -= 0.2

    draw_recursive(levels_to_draw)

t.hideturtle()
turtle.done()

tord_dellsen@diasp.eu

#JustForFun i created this Hilbert space-filling curve using #Python's #turtle module | #maths #math #programming

import logging
import random
import turtle
import time

SPEED_INT = 5  # 1-10 where 0 is as fast as possible
UNIT_DISTANCE = 30
logging.basicConfig(level=logging.DEBUG)

# Turtle setup
screen = turtle.getscreen()
t = turtle.getturtle()
turtle.title("Hilbert Space-filling Curve")
t.shape("turtle")
t.speed(SPEED_INT)
t.pensize(5)
t.pencolor((0, 0, 0))
t.penup()
turtle.setx(-500)
turtle.sety(-450)
t.pendown()
start_pos = t.pos()

time.sleep(1)

CW = 1
CCW = -1


def get_angle():
    fuzzyness = random.choice(range(0, 2))
    # degrees = 90 + fuzzyness
    degrees = 90
    return degrees


color_ = (0, 0, 0)

DIRECTION_UP = True
DIRECTION_DOWN = False

color_change_direction = (DIRECTION_UP, DIRECTION_UP, DIRECTION_UP)


def change_color():
    global color_
    global color_change_direction
    index_to_change = random.choice(range(0, 3))
    channel = color_[index_to_change]
    if color_change_direction:
        channel += 0.05
    else:
        channel -= 0.05
    if channel > 1.0:
        color_change_direction = not color_change_direction
        channel = 1.0
    elif channel < 0.0:
        color_change_direction = not color_change_direction
        channel = 0.0
    new_color = turtle.pencolor()
    new_color_list = list(new_color)
    new_color_list[index_to_change] = channel
    color_ = tuple(new_color_list)
    turtle.pencolor(color_)


def draw_recursive(i_direction: int, i_level: int):
    """Level 1 is the starting level (0 doesn't exist)"""
    if i_level == 1:
        change_color()

    def right_forward():
        t.right(i_direction * get_angle())
        t.forward(UNIT_DISTANCE)

    def forward_right():
        t.forward(UNIT_DISTANCE)
        t.right(i_direction * get_angle())

    if i_level > 1: draw_recursive(-i_direction, i_level - 1)
    if i_level % 2 == 0:
        right_forward()
    else:
        forward_right()
    if i_level > 1: draw_recursive(i_direction, i_level - 1)
    if i_level % 2 == 0:
        t.right(-i_direction * get_angle())
        t.forward(UNIT_DISTANCE)
        t.right(-i_direction * get_angle())
    else:
        t.forward(UNIT_DISTANCE)
    if i_level > 1: draw_recursive(i_direction, i_level - 1)
    if i_level % 2 == 0:
        forward_right()
    else:
        right_forward()
    if i_level > 1: draw_recursive(-i_direction, i_level - 1)


turtle.setheading(90)
draw_recursive(CW, 5)

t.hideturtle()
turtle.done()

tord_dellsen@diasp.eu

#JustForFun i created this #fibonacci spiral using #Python's #turtle module

import logging
import turtle
import time

SPEED_INT = 10  # 1-10 where 0 is as fast as possible
DEFAULT_HEADING = 180
DEFAULT_SCALE = 2.5
START_X = -480
START_Y = -230
logging.basicConfig(level=logging.DEBUG)

# Turtle setup
screen = turtle.getscreen()
# screen.screensize(1900, 1000)
t = turtle.getturtle()
turtle.title("Fibonacci spiral")
t.shape("turtle")
t.speed(SPEED_INT)
t.pensize(3)
center_pos = t.pos()

turtle.setheading(DEFAULT_HEADING)
t.penup()
turtle.setx(START_X)
turtle.sety(START_Y)
t.pendown()
start_pos = t.pos()

time.sleep(1)


def fibonacci(n):
    if n < 0:  Exception("Fibonacci function cannot take negative numbers")
    if n == 0: return 0
    if n == 1: return 1
    return fibonacci(n - 1) + fibonacci(n - 2)


def draw_fib_spiral(
        i_scale: float = DEFAULT_SCALE,
        i_color: str = "black",
        i_nr_of_circles: int = 5,
        i_write_fib_nr: bool = True):
    t.pencolor(i_color)
    t.penup()
    t.setpos(start_pos)
    turtle.setheading(DEFAULT_HEADING)
    t.pendown()
    for i in range(0, 4 * i_nr_of_circles):
        fibonacci_number = fibonacci(2 + i)
        radius = fibonacci_number * i_scale
        old_pos = t.pos()
        t.circle(radius, -90)
        new_pos = t.pos()

        old_pen_size = t.pensize()
        t.pensize(1)
        t.setpos(new_pos[0], old_pos[1])
        t.setpos(old_pos)
        t.setpos(old_pos[0], new_pos[1])
        t.setpos(new_pos)
        t.pensize(old_pen_size)
        delta_x = new_pos[0] - old_pos[0]
        delta_y = new_pos[1] - old_pos[1]

        if i_write_fib_nr:
            font_size = int(4 + i ** 1.7)
            font = ("Arial", font_size, "normal")
            t.pencolor((0, 0.7, 0))
            old_pos = t.pos()
            t.penup()
            t.setpos(old_pos[0] - delta_x / 2, old_pos[1] - delta_y / 2 - font_size / 2)
            t.write(fibonacci_number, font=font, align="center")
            t.setpos(old_pos)
            t.pendown()
            t.pencolor(i_color)


"""
COLOR_LIST = [
    (0, 0, 0),
    (1.0, 0, 0), (0, 1.0, 0), (0, 0, 1.0),
    (1.0, 0, 1.0), (1.0, 1.0, 0), (0, 1.0, 1.0),
    (0.5, 0, 0), (0, 0.5, 0), "pink"
]
for i in range(0, 9):
    ratio = 1 - 0.1 * i
    draw_fib_spiral(i_scale=ratio, i_color=COLOR_LIST[i])
"""
draw_fib_spiral(i_color="black", i_write_fib_nr=True)

t.hideturtle()
turtle.done()