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Basic method

And here's how its done. We're going to be selecting this little region of the superquadric parameter space, spanned by the sphere, cylinder, and cuboid, and use it to represent this right half of the barycentric shape space.

And then for the other half, we're going to use a different copy of the shape space, and map it this way. So we're using a small portion of the parametric space, twice, to represent the full range of tensor shape.