Colored Square Spiral in a Square (Source Code)

In a previous project, we draw a 5 degree square spiral in a square. Use the colosys library to fill the square with gradually changing hues. Also, reduce the tilting degree from 5 degrees to 0.1 degree to see smooth change in color. If you use recursion make sure you increase the maximum recursion depth with sys.setrecursionlimit() function.

Source Code:

import turtle
import math
import colorsys
import sys

screen = turtle.Screen()
screen.title('5 Degree Square Spiral in a Square - PythonTurtle.Academy')
screen.setup(1000,1000)
screen.setworldcoordinates(-1000,-1000,1000,1000)
screen.tracer(0,0)
turtle.speed(0)
turtle.hideturtle()
sys.setrecursionlimit(10000)

def draw_square(x,y,direction,length):
    turtle.up()
    turtle.goto(x,y)
    turtle.seth(direction)
    turtle.back(length/2)
    turtle.left(90)
    turtle.back(length/2)
    turtle.seth(direction)
    turtle.down()
    c = colorsys.hsv_to_rgb(0.9*length/L,1,1)
    turtle.fillcolor(c)
    c = colorsys.hsv_to_rgb(0.9*length/L,1,1)
    turtle.pencolor(c)
    turtle.begin_fill()
    for _ in range(4):
        turtle.fd(length)
        turtle.left(90)
    turtle.end_fill()

def square_spiral(x,y,direction,length):
    if length < 5: return
    
    draw_square(x,y,direction,length)
    square_spiral(x,y,direction+alpha,length/(math.sin(math.radians(alpha)) + math.cos(math.radians(alpha))))


alpha=0.1
L=1600
square_spiral(0,0,0,L)
screen.update()