Form follows algorithm: computer derived design for rapid manufacturing

Faster computers, mathematical modelling and algorithm development has fuelled the field of computational science. Today we see finite element analysis used in constructions; both for strength and heat, flow analysis in moulding tools are almost common. In architecture, different algorithms are developed to generate form; the architect sets the boundary conditions before making the choice among almost infinite form possibilities. How could algorithms be developed and used by designers in combination with rapid manufacturing? The following paper discusses several cases of what could be called computer derived design for rapid manufacturing. What are the key factors?  How could this influence the design methodology?The design cases are among others development of a musical instrument, based on shape and material properties, tuned together in a computer algorithm, mainly by simulating the frequency when played on. Other cases are multi repeatable artefacts and semi controlled shape generating.