Amorphous Geometry

Amorphous computing is a recently introduced paradigm that favours geometrical configurations. The physical layout of an amorphous computer is based on a possibly irregular and error-prone planar distribution of a large number of simple processing components; this is well-suited for handling spatial structures. It has come to our attention that the well-known and long-since established discipline of computational geometry could benefit from the amorphous computing approach. In this spirit we speculate on the use of having smart surfaces interact with their environment or with autonomous entities such as robots. It seemed natural to refer to this approach by the notion of amorphous geometry. Although at this stage our exploration of this concept is fairly modest, we feel that our experiments are sufficiently convincing and merit further study. Exploring the possibilities of amorphous geometry should show that amorphous computing can deal with various classes of problems from computational geometry and may eventually expand the field considerably while providing a basis for useful applications.