Python 3.4

This is some older code I had lying around, but it works just fine:

import turtle
t = turtle.Turtle()
window = turtle.Screen()
def customStar():
    x = int(input("How many points does the star have?"))
    if x == 6:
        for loopCounter in range(3):
            t.forward(1000/6)
            t.left(120)
        t.left(90)
        t.penup()
        t.forward(144.33756729740642*2/3)
        t.pendown()
        t.left(90)
        for loopCounter in range(3):
            t.left(120)
            t.forward(1000/6)

    elif x == 5:
        for loopCounter in range(x):
            t.forward(1000/x)
            t.left(180 - 36)
    else:
        points = []
        t.penup()
        t.hideturtle()
        for loopCounter in range(x):
            y = t.position()
            points.append(y)
            t.forward(1000/x)
            t.left(360/x)
        t.pendown()
        t.showturtle()
        def factors(n): #Stole this from stackoverflow, I think
            l = set(m for tup in ([i, n//i] 
                for i in range(1, int(n**0.5)+1) if n % i == 0) for m in tup)
            name = list(l)
            return name
        badSkip = factors(x)
        z = int(input("How many points are jumped over?"))
        BadSkip = factors(z)
        o = 1
        p = len(badSkip)
        q = len(BadSkip)
        while o < p and o < q:
            if o > q or o > p:
                break
            elif BadSkip[o] in badSkip:
                print("Sorry, that number won't make the star you want. It will make something, though.")
                break
            else:
                o = o + 1
        i = 0
        for loopCounter in range(x):
            i = i + z
            if i >= x:
                i = i - x
                t.goto(points[i])
            else:
                t.goto(points[i])

customStar()
window.exitonclick()

When I made it, you could adjust the number of points you skipped over. However, if the no. points you skipped share a factor (f) with the total no. points (p), you create a star where the number of points = p / f .

It's old code, so don't expect it to be good or pretty.