
The Archimedean spiral is a spiral named after the Greek mathematician Archimedes.



An Archimedean spiral can be described by the equation:






r
=
a
+
b
θ


{\displaystyle \,r=a+b\theta }


with real numbers a and b.



Task
Draw an Archimedean spiral.




from turtle import *
from math import *
color("blue")
down()
for i in range(200):
    t = i / 20 * pi
    x = (1 + 5 * t) * cos(t)
    y = (1 + 5 * t) * sin(t)
    goto(x, y)
up()
done()