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X(3), X(4), X(381)

F1, F2 : foci of the Steiner in-ellipse, see also Table 48.

Infinite points of the McCay cubic

K358 is the unique equilateral circum-cubic passing through the four foci of the Steiner in-ellipse.

It has three real asymptotes parallel to those of the McCay cubic and concurring at X = X(3545) (not on the curve) defined by OX = 5/9 OH. X is the harmonic conjugate of X(376) with respect to G and H. In other words, K358 is a circum-stelloid with radial center X.

It meets the circumcircle at the same points as pK(X6, X381) where X(381) is the midpoint of GH.

K358 is spK(X3, X2) as in CL055.