#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()