Evolution of polygonal crack patterns in mud when subjected to repeated wetting–drying cycles

The present paper demonstrates how a natural crack mosaic resembling random tessellation evolves with repeated 'wetting followed by drying' cycles. system here is network in drying colloidal material, for example, layer of mud. A spring model used to simulate consecutive wetting and cycles mud layers until the matures. simulated results compare favourably reported experimental findings. evolution these mosaics has been mapped as trajectory 4-vector tuple geometry-topology domain. phenomenological relation between energy geometry functions time proposed based on principles mechanics. We follow pattern find that veers towards Voronoi order minimize energy. Some examples static nature have also explored verify if prefers patterns. In this context, authors define new geometric measures Voronoi-ness quantify close tessellation, or even, Centroidal tessellation.