The Simson cubic is the triangle cubic that is the locus of tripoles of the Simson lines of a triangle Δ A B C. It has trilinear equation (a^2 + b^2 - c^2) a α b β c γ - sum_cyclic S_A a α(b^2 β^2 + c^2 γ^2) = 0. It passes through Kimberling centers X_n for n = 2, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413, 2414, 2415, 2416, 2417, 2418, and 2419.