The pedal triangle of an isodynamic point, the triangle formed by dropping perpendiculars from S to each of the three sides of triangle ABC, is equilateral, as is the triangle formed by reflecting S across each side of the triangle.
12.
Also, this cubic is the locus of a point " X " such that the pedal triangle of " X " and the anticevian triangle of " X " are perspective; the perspector lies on the Thomson cubic.
