Draw the following fractal made up of nesting pentagrams with either recursion or iteration.
Hint: Making a function that draws pentagram in any location, radius, and direction will help!
Source Code:
import turtle
import math
screen = turtle.Screen()
screen.title('Pentagram Fractal - PythonTurtle.Academy')
screen.setup(1000,1000)
screen.setworldcoordinates(-1000,-1000,1000,1000)
turtle.speed(0)
turtle.hideturtle()
def star(x,y,direction,r): #x,y is the center
turtle.up()
turtle.goto(x,y)
turtle.seth(direction)
turtle.fd(r)
turtle.right(180-18)
turtle.down()
length = 2*r*math.sin(math.pi*2/5)
for _ in range(5):
turtle.fd(length)
turtle.right(180-36)
def star_fractal(x,y,direction,r):
star(x,y,direction,r)
if r < 50: return
star_fractal(x,y,180+direction,r*math.sin(math.pi/10)/math.cos(math.pi/5))
star_fractal(0,0,90,1000)
