McCay cubic

[2] The McCay cubic can be defined by locus properties in several ways.

[3] The McCay cubic can also be defined as the locus of point P such that the circumcevian triangle of P and △ABC are orthologic.

is A stelloid is a cubic that has three real concurring asymptotes making 60° angles with one another.

McCay cubic is a stelloid in which the three asymptotes concur at the centroid of triangle ABC.

The point where the asymptoptes concur is called the "radial center" of the stelloid.

Reference triangle △ ABC
Nine-point circle of △ ABC
Pedal triangle of point P
Pedal circle ( circumcircle of pedal triangle) of P
McCay cubic : locus of P such that the pedal circle and nine point circle are tangent
McCay cubic with its three concurring asymptotes