   too complicated to be written here. Click on the link to download a text file.  X(2), X(4), X(278), X(281), X(393), X(459), X(1249), X(3346), X(6523), X(7952), X(40836), X(40837), X(40838), X(40839) MaMbMc : medial triangle HaHbHc : anticevian triangle of H infinite points of pK(X2, X6527) points of pK(X2, X393) on the Steiner ellipse other points below    For any point M on the Lucas cubic K007, the barycentric product H x M and quotient H ÷ M lie on K879 = pK(X393, X2). These two points are X393-isoconjugates hence collinear with X(2). It follows that K879 is anharmonically equivalent to the Thomson cubic K002. See Table 21. K879 is : • the isogonal transform of pK(X577, X394), where X(577) and X(394) are the barycentric squares of X(3) and X(63) respectively, • the isotomic transform of pK(X3926, X3926), where X(3926) is the barycentric square of X(69), • the complement of pK(X2, X6527). This latter cubic is the image of the Lucas cubic K007 under the symbolic substitution SS{a –> SB SC}. K879 is also : • the pK with pivot X(4), isopivot X(2) with respect to HaHbHc, • the pK with pivot X(393), isopivot X(6523) with respect to MaMbMc. K879 contains the following centers now added to ETC (2020-12-30) : • P1 = X(40836) = X(4) x X(189), isogonal conjugate of X(7078), • P2 = X(40837) = X(4) x X(5932), • P3 = X(40838) = X(4) x X(1034), • P4 = X(40839) = X(4) x X(14362). Note that the line P2P3 passes through X(2) and the line P1P3 passes through X(4). 