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X(2), X(4), X(6), X(262)

infinite points of the McCay cubic

K582 is a K60+ (or a stelloid) with three real asymptotes parallel to those of the McCay cubic and concurring at X centroid of GHK. X = X(14848) in ETC.

K582 is a stelloid with G, H, K as a group of pivots. The circumcircle of triangle GHK meets the cubic again at the vertices of an equilateral triangle.

K582 is spK(X3, X597) as in CL055.