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Abstract

We have developed a geometric design method based on generalizations of IFS. We have shown that it is possible to extend the properties of fractal shapes to forms used in classical modeling (e.g Bézier or Splines). We have developed and studied a new formalism, which we named BCIFS (Boundary Controlled Iterated Function System), which could serve as basis for development of a computer aided design software called modeler. The resulting figures verify planarity constrains in order to facilitate their physical construction out of planar construction material. Finally, a series of tools has been worked out in order to convert the geometry data into a set of constructional elements, ready for integrated manufacturing.

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