Folium of Descartes Algebraic Equation: x3+y3-3axy = 0 Degree: 3 Singularities: [0:0 Multiplicity: 2 Branching Number: 2 Genus: 0 Parameterized Equation:  x = 3at/(1+t3), y = 3at2/(1+t3) Delta Invariant: 1 Milnor Number: 1 Tjurina Number: 1 Projective Plane: 1 node Transformation: Folium of Descartes → Trisectrix of Maclaurin                                                     x = ((∛4)/2)X - ((∛4)/(2√3)Y                           y = ((∛4)/2)X + ((∛4)/(2√3)Y                           z = -(∛4)Z   All Curves Curves by Degree Curves by Genus