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X(15), X(16), X(36), X(55), X(59), X(840), X(3286)

Geometric properties :

K1052 is the isogonal transform of K1051, the orthopivotal cubic O(X11).

K1052 is a circular nodal cubic with node X(36). Its singular focus is the inverse (in the circumcircle) of X(18343), that of K1051.

Locus property

Let P be a point and T the triangle formed by its reflections in the sidelines of ABC. The Euler line of T passes through the Feuerbach point X(11) if and only if P lies on K1052.