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The third animation (6.5 Meg quicktime) adds in the lit-tensor shading model. In order to show off how the specular highlights move across the surface, the light is moving. Also, in this case, the hue-ball and input vector are fixed in eye-space, although the resulting color shifts are pretty subtle.

The fourth animation (5.9 Meg quicktime) attempts to fix a problem with using the pure lit-tensor shading model. The problem is that gradient of opacity isn't necessarily aligned with e_3, the minor eigenvector, so the lit-tensor model can make the shape of the surface a little unclear. The solution is to mix back in some of the shading based on the gradient of the opacity.