How to Solve a Cubic Equation, Part 3: General Depression and a New Covariant

For pt.2 see ibid., vol. 26, no. 4, p. 90-100 (2006). Our ultimate goal here is twofold. We want to get insight into how cubic polynomials work, what are the invariants/covariants and their geometric interpretations. This article also describes how a transformation in parameter space relates to the transformation in coefficient space

[1]  James F. Blinn Polynomial Discriminants Part 2: Tensor Diagrams , 2001, IEEE Computer Graphics and Applications.

[2]  D. Hilbert,et al.  Theory of algebraic invariants , 1993 .

[3]  James F. Blinn How to Solve a Cubic Equation, Part 4: The 111 Case , 2007, IEEE Computer Graphics and Applications.

[4]  James F. Blinn How to solve a cubic equation. Part 1. The shape of the discriminant , 2006, IEEE Computer Graphics and Applications.

[5]  Andrew S. Glassner A Change of Scene , 2001, IEEE Computer Graphics and Applications.

[6]  James F. Blinn,et al.  How to Solve a Cubic Equation, Part 2: The 11 Case , 2006, IEEE Computer Graphics and Applications.