Pentagram Fractal with Python Turtle (Source Code)

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)