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P = X(6) and its isotomic conjugate P' = X(76), X(880), X(882). ten points obtained from all the permutations of the coordinates of P and P' : among them, Brocard points and vertices of the first Brocard triangle. points at infinity of ABC sidelines (inflexion points) 

It is the locus of point M such that the cevian triangles of X(6) and M have the same area. See "Tucker cubics" in the Downloads page. K012 = nK(X2, X2, X6). 
