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Quartic Curve


A general plane quartic curve is a curve of the form

 Ax^4+By^4+Cx^3y+Dx^2y^2+Exy^3+Fx^3+Gy^3+Hx^2y+Ixy^2+Jx^2+Ky^2+Lxy+Mx+Ny+O=0.
(1)

Examples include the ampersand curve, bean curve, bicorn, bicuspid curve, bifoliate, bifolium, bitangent-rich curve, bow, bullet nose, butterfly curve, capricornoid, cardioid, Cartesian ovals, Cassini ovals, conchoid of Nicomedes, cruciform, deltoid, devil's curve, Dürer's conchoid, eight curve, fish curve, hippopede, Kampyle of Eudoxus, Kepler's Folium, Klein quartic, knot curve, lemniscate, limaçon, links curve, pear-shaped curve,