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Verification of the applicability of Lewis, Desch and Aboav–Weaire laws to polygonal networks in terrains on the surface of Mars is reported. The networks analysed cover a great variety of small-scale polygonal terrains formed in periglacial regions of the planet. It is shown that these Martian terrains share some of the same geometrical and topological properties of other random networks built by materials and processes of diversified nature and origin.
Saraiva et al. (2009) studied this question.