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∑ b^2c^2x^2 [b^2(x-y)z - c^2(x-z)y] = 0

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 are X(5638), X(5639), on the Lemoine axis, the Parry circle, the Thomson-Jerabek hyperbola, K889, K890, K891, K1067

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.

See the related curves K280, K297, Q091.