A triangle cubic is a curve that can be expressed in trilinear coordinates such that the highest degree term in the trilinears α, β, and γ is of order three. Wells describes a cubic curve on which 37 notable triangle centers lie. Other triangle cubics include the M'Cay cubic and Thomson cubic.

Darboux cubic | Droussent cubic | isocubic | Lemoine cubic | Lucas cubic | M'Cay cubic | Napoleon-Feuerbach cubic | Neuberg cubic | orthocubic | pivotal isocubic | pivotal isogonal cubic | pivotal isotomic cubic | self-isogonal cubic | Simson cubic | Thomson cubic | Tucker-Brocard cubic | Tucker cubic