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X(4), X(485), X(486), X(2041), X(2042)

points Q and Q' on the Euler line

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

points at infinity of the Orthocubic

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.

• to the pencil of cubics generated by the Orthocubic K006 and the cubic decomposed into the line at infinity and the Kiepert hyperbola. See also K122, K690.

Its asymptotes are parallel to those of the Orthocubic.