In the line of superellipsoid, I find 

http://local.wasp.uwa.edu.au/~pbourke/surfaces_curves/supershape3d/

inspirational for a new native shape (not just a set of macro for a 
parametric), the hard way (no mesh approximation), optimised with 
dedicated code.

Input syntax should be as easy as for superellipsoid or torus/sphere/box, 
not cryptic as a long list of parameters in a macro.

Native modulation, if possible, would be a big plus (making fun of shells)

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