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Star fractal printing using Turtle in Python

  • Last Updated : 01 Oct, 2020
Geek Week

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

  1. Import turtle.
  2. Initialise the turtle.
  3. Change the background color.
  4. Make a function to draw a star.
  5. 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:



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