This model is the level set of
f(x,y) = (x^2 + y^2)^2 - 4 a y x^2 + a y (x^2+y^2)
The singularity at the origin for this function has six tangent directions.
The function is extremely flat near the singularity, so this model
is a good test-case for singularity-detection.
This function can also be defined in the polar form as
r= a sin(3 theta)
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