The Tucker cubic is the triangle cubic with trilinear equation sec A sec B sec C sum_cyclic a α(b^2 β^2 + c^2 γ^2) = αβγ sum_cyclic a sec A(b^2 sec^2 B + c^2 sec^2 C). It passes through Kimberling centers X_n for n = 4, 69, 877, and 879.