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X(2), X(6), X(15), X(16), X(55), X(385), X(672), X(5638), X(5639) vertices of the Thomson triangle Q1Q2Q3 6 feet of bisectors 6 points on the medians such as (±a^2;bc,bc) L1, L2 on the Lemoine axis, on the Parry circle extraversions of X(55), X(385), X(672) 

Q090 is the isogonal transform of the Stothers quintic Q012. It is a nodal quartic with node K. The tangents at A, B, C, Q1, Q2, Q3 pass through K. It is related to nodal cubics inscribed in the Thomson triangle. 
