Polygonal terrains on Mars: A contribution to their geometric and topological characterization

Detailed examination of large extensions of polygonal terrains on the surface of Mars and extraction of some characteristic geometric and topological parameters is made possible by the application of image analysis methods to scenes of the Martian surface acquired from orbit. This is illustrated by the analysis of a set of diverse Martian networks, clearly visible in MOC/MGS images with high spatial resolution. It is shown that these networks present, in average, a hexagonal habit, and that they verify two classic laws relative to 2D random networks (those of Lewis and Aboav–Weaire). This research can, through the quantified analysis of the differences and similarities between networks, lead into a much better understanding of the origin and dynamics of this type of features.