CumInCAD is a Cumulative Index about publications in Computer Aided Architectural Design supported by the sibling associations ACADIA, CAADRIA, eCAADe, SIGraDi, ASCAAD and CAAD futures

Mathematical methods providing metamorphosis of three-dimensional objects are considered. Linear algebra is the basic tool : precisely linear transformations depending on a parameter are the way to produce the basic surface, moreover logic rules of manipulation of its parametric equations allow the realization of the generative process. We think that mathematical methods introduced into a generative approach can increase the performances in the designing evolution. This paper illustrates an example realized by modifying mathematically a three-dimensional form, whose initial idea is recognisable at every step.