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X(2), X(4), X(5)
points at infinity of the Thomson cubic
vertices of the pedal triangle of X(5)
Ix-anticevian points : see table 23
This cubic belongs to the pencil of cubics containing the Napoleon cubic, the Kn cubic. See "Two Remarkable Pencils..." in the Downloads page.
Its asymptotes are parallel to those of the Thomson cubic.
K124 also belongs to the pencil generated by the Thomson cubic and the Lucas cubic.