The Monte-Carlo generation of random polygons

Abstract Random surface-covering aggregates of polygons are of interest as a stochastic model for several geological applications. The approach and algorithms for the generation of random polygons are presented along with a FORTRAN program designed to generate the random Voronoi polygons. To demonstrate the use of the program, the results of the generation of 57,000 Voronoi are tabulated in histogram form, for use in hypothesis testing. The computer program can be adapted easily to other random polygon generations.