Star fractal printing using Turtle in Python

Last Updated : 01 Oct, 2020

Prerequisite: Turtle Programming Basics

Fractals are objects that tend to have self-similar structures repeated a finite number of times. The objective of this article is to draw a star fractal where a star structure is drawn on each corner of the star and this process is repeated until the input size reduces to a value of 10. For achieving this star fractal pattern the turtle module is used.

Methods used

forward(value): It moves the turtle in forward direction.
speed(value): It changes the speed of the turtle.
penup(): Stop drawing.
pendown(): Start drawing.
left(value): It moves the turtle towards the left.

Approach

Import turtle.
Initialise the turtle.
Change the background color.
Make a function to draw a star.
Call the above function recursively inside the for loop to make the entire start pattern.

Below is the implementation of the above approach.

Python3

# import turtle 
import turtle 
  
# initialise turtle instance 
stars = turtle.Turtle() 
  
# increases the speed of turtle 
stars.speed(10) 
  
# to change the background color 
stars.getscreen().bgcolor("black") 
stars.color("red") 
  
# stop drawing 
stars.penup() 
  
# move the turtle 
stars.goto((-200, 50)) 
  
# start drawing 
stars.pendown() 
  
# function to draw stars 
def star(turtle, size): 
    if size <= 10: 
        return
    else: 
        for i in range(5): 
            
            # moving turtle forward 
            turtle.forward(size) 
            star(turtle, size/3) 
  
            # moving turtle left 
            turtle.left(216) 
  
  
# calling the star function 
star(stars, 360) 
turtle.done() 

Output:

Python | Plotting Fibonacci spiral fractal using Turtle

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