Draw Colourful Star Pattern in Turtle – Python

In this article we will use Python’s turtle library to draw a spiral of stars, filled with randomly generated colours. We can generate different patterns by varying some parameters. modules required:

turtle:

turtle library enables users to draw picture or shapes using commands, providing them with a virtual canvas. 
turtle comes with Python’s Standard Library. It needs a version of Python with Tk support, as it uses tkinter for the graphics. 

Explanation:
First we set each of the parameters for the spiral: number of stars, exterior angle of the stars and angle of rotation for the spiral. The colours are chosen randomly by choosing three random integers for rgb values, and so each time we get a different colour combination. 
In the implementation below, we will draw a pattern of 30 stars, with exterior angle 144 degrees and angle of rotation 18 degrees. 

Python3

from turtle import *

import random

speed(speed ='fastest')

def draw(n, x, angle):
    # loop for number of stars
    for i in range(n):

        colormode(255)

        # choosing random integers
        # between 0 and 255
        # to generate random rgb values
        a = random.randint(0, 255)
        b = random.randint(0, 255)
        c = random.randint(0, 255)

        # setting the outline
        # and fill colour
        pencolor(a, b, c)
        fillcolor(a, b, c)

        # begins filling the star
        begin_fill()

        # loop for drawing each star
        for j in range(5):

            forward(5 * n-5 * i)
            right(x)
            forward(5 * n-5 * i)
            right(72 - x)

        # colour filling complete
        end_fill()

        # rotating for
        # the next star
        rt(angle)


# setting the parameters
n = 30    # number of stars
x = 144   # exterior angle of each star
angle = 18    # angle of rotation for the spiral

draw(n, x, angle)

Output:

By changing the exterior angle to 72, we can get a pattern of pentagons as such:

20 pentagons, 18 degree spiral