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X(1), X(3), X(56), X(224)

infinite points of the Orthocubic K006

vertices of the cevian triangle of X(7) = pedal triangle of X(1)

vertices of the circumcevian triangle of X(1)

K561 is an interesting example of psK cubic with flex at X(1).

See Pseudo-Pivotal Cubics and Poristic Triangles.

K561 is also spK(X4, X946) as in CL055.