X(2), X(11057), X(11058)
vertices of antimedial triangle
K092 is the only isotomic pivotal equilateral isocubic. See Special Isocubics §6.6.2 for details.
Its pivot is the point labelled Pt on the figure. Pt = X(11057), the intersection of the lines X(2)X(187) and X(30)X(76).
The isopivot is X(11058), the isotomic conjugate of X(11057).
The triangle formed by the asymptotes is centered at O.
This cubic is the locus of pivots of all pK60 having the same asymptotic directions as itself. It is the only pK60 having this property.
See the related central stelloid K213.