The bifolium is a classical plane curve given by

f(x,y) = (x^2 + y^2 )^2 -a*x^2*y.

In polar coordinates, this curve is given parametrically as

r(theta) = a sin(theta) [cos(theta)]^2.

The parameter a scales the level set, but does not change its topology.

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Last modified: Sun Nov 26 16:29:03 1995
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