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K594

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X(1), X(4), X(1482)

infinite points of the McCay cubic

points of pK(X6, X1482) on the circumcircle

K594 is a nodal stelloid with node the incenter I. It is spK(X3, X1) in CL055.

The three real asymptotes are parallel to those of the McCay cubic and concur at X = X(5603) such that IX = 1/3 IH.

K594 is the locus of M such that 2(IM, L) + (HM, L) = constant (mod. π) where L is any arbitrary line.

I is the double pivot and H the simple pivot of the stelloid. Hence, any circle passing through I and H meets the stelloid at three other points which are the vertices of an equilateral triangle.

The hessian of K594 is a strophoid with node I and singular focus X.