Draw and fill the curve x4 + y4 = 1.
Then do this by relying
on a method that will draw |x|n + |y|n = 1
for any positive integer n. What happens as n goes to infinity?
Parametrize this curve by its angle
coordinate t in polar coordinates. It will
be (C(t) cos(t), C(t) sin(t)) for some C(t).