with its Inversion

The curves are defined by these equations:

r(t) = (1 - morph*sin(t/2))

c(t) = [r(t) * cos(t), r(t) * sin(t)]

This curve family has been studied because

of its double and triple points and its

double tangency point.

Its inversion has the same behaviour.

Inversion(vector) = (radius / |vector|)^2 * vector

r(t) = (1 - morph*sin(t/2))

c(t) = [r(t) * cos(t), r(t) * sin(t)]

This curve family has been studied because

of its double and triple points and its

double tangency point.

Its inversion has the same behaviour.

Inversion(vector) = (radius / |vector|)^2 * vector