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X(1), X(2), X(4), X(65), X(69), X(69), X(75), X(81), X(314), X(321), X(1764)

vertices of the antimedial triangle

K254 is the isotomic pK with pivot X(314), the isotomic conjugate of X(65) = orthocenter of the intouch triangle.

It is the isogonal transform of K430 = pK(X32, X21).

K254 is the locus of pivots of all pK which have the same asymptotic directions as pK(X6, X81) and K253.

See "Asymptotic Directions of Pivotal Isocubics" in the downloads page.