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X(4), X(5), X(3146) vertices of the pedal triangle of the reflection of X(2883) in X(4) Ixanticevian 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 the altitudes and concur at X(3627) = reflection of X(5) in X(4). It is the locus of point P such that the reflection triangle of ABC in the sidelines of ABC and the pedal triangle of P are perspective. See also Table 6. The locus of the perspector is K117 = C(3). 
