maurer_rose.py

#!/usr/bin/env/ python3
# although this should probably work on python2 too
#
#  This draws a Maurer Rose, using simple Turtle graphics.
#  (see https://en.wikipedia.org/wiki/Maurer_rose)
#  It's cuz they look pretty.
#
#  This is public domain.
#


import turtle
import math
import time

SCALE = 200

t = turtle.Turtle()
t.speed(0)
t.hideturtle()


def cartesian(r, theta):
    return r*math.cos(math.radians(theta)), r*math.sin(math.radians(theta))


def r(n, theta):
    return SCALE * math.sin(n*math.radians(theta))


def reset():
    t.pu()
    t.clear()
    t.goto(0,0)
    t.pd()


def generate(n, d):
    out = []
    for i in range(362):
        theta = i * d
        out.append(cartesian(r(n, theta), theta))
    return out


def show(l: list):
    for point in l:
        t.goto(point[0], point[1])


if __name__ == '__main__':
    show(generate(2, 29))
    time.sleep(5)
    reset()
    show(generate(6, 71))