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X(2), X(4), X(3146)

reflections A', B', C' of A, B, C in the sidelines of ABC

images of A, B, C under h(G,4)

vertices of pedal triangle of L1

image of K = X(6) under h(G,10)

points at infinity of the Thomson cubic

This cubic belongs to the pencil of cubics containing the Neuberg cubic, the Soddy cubic and the union of the three altitudes. See "Two Remarkable Pencils..." in the Downloads page.

Its asymptotes are parallel to those of the Thomson cubic.

See the related K127.