Formex formulation of Bezier transformations

The concepts of formex algebra, since their introduction in the mid-seventies, have been used widely for processing of various types of configurations, in particular for configurations of lattice spatial structures. This paper extends the scope of application of formex algebra to incorporate Bezier transformations as a method to define curves and curved surfaces. With defining the Bezier transformation as a part of the extensive configuration processing tools of the formex environment, one adds to the capabilities of the tools. At the same time, it can work in combination with the other available configuration processing tools.