Automation of constructing equations of geometric objects in the method of R-functions

Based on R-functions, a general algorithm is proposed for automatic construction of predicate and analytical functions of a geometrical object consisting of a given list of standard primitives. Normalized functions of standard primitives with alphabetic parameters are constructed that determine the position, sizes, and orientation of the primitives. The capabilities of automation of constructing equations of geometrical objects from standard primitives are illustrated with the help of the system POLYE.