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X(3), X(4), X(6), X(254), X(393), X(459), X(1609), infinite points of pK(X6, aX1899) points of pK(X6, X6515 = aX394) on (O) 

Let ABC be a triangle, P a point, and PaPbPc the pedal triangle of P. The parallel to BC through P intersects AC at Ab and AB at Ac. Let Qa be the orthocenter of the triangle PaAbAc. Similarly define Qb, Qc. The locus of P such that ABC, QaQbQc are perspective is K163. (Hyacinthos #8385, 8396) K163 is a pK with pole X(25) on the Euler line and pivot X(393), barycentric square of H, on the line HK. It meets the orthocubic at X(3), X(4), X(254) and A, B, C with common tangents AO, BO, CO. The isogonal transform of K163 is pK(X3, X4). aX1899 is the anticomplement of X(1899). It lies on the lines {X2, X98}, {X4, X155}, {X20, X2979}, {X22, X69}, {X154, X343}, etc. 
