Designers in CAD/CAM, modeling complex shapes on the computer, frequently create all their objects from a small library of fundamental objects whose properties are well understood. Thus, PADL, .,2 a solid-object design system, uses rectangular boxes and cylinders. Another system, EUKLID,3 uses prisms, anti-prisms, boxes, and so on. In the first issue of IEEE Computer Graphics and Applications, Barr4 introduced a new family of parametric objects called superquadric shapes. They are generalizations of conic sections and toruses with the exponent, formerly 2, replaced by an arbitrary positive number (see

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