Abstract
Dupin's cyclides are useful in blending conventional solids in solid modeling. Most of the properties of cyclides can easily be derived from a construction using an ellipse and a string as given 125 years ago by J. Clerk Maxwell. It covers the construction of the Bézier presentation of a simple basic patch as well as the double-cyclid blend of two conics, a solution of the Cranfield problem and the blend of a tripod.
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