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Araneiforms are radially converging systems of branching troughs exhibitingfractal properties. They are found exclusively in the Southern polar regions ofMars and believed to be result of multiple repetitions of cold CO2 gas jetseruptions. Araneiform troughs get carved by the overpressurized gas rushingunderneath a seasonal ice layer towards a newly created opening. Current workis an attempt to quantitatively analyze araneiforms patterns and model theirformation mechanism. The dendritic quality of most araneiforms are suggestivethat they can be described in terms commonly applied to terrestrial rivers. Wehave adapted and for the first time applied to Martian araneiforms qualitativemorphological analysis typically used for terrestrial rivers. We have shownthat the large and well-developed araneiforms (with tributary orders largerthan 4) closely follow Horton's law of tributary orders and have bifurcationratio that falls well inside the range of terrestrial rivers. We haveimplemented a two-dimensional Diffusion-Limited Aggregation (DLA) model thatdescribes formation of dendrite shapes by mathematical probabilistic means. Wecompared modeled dendrite shapes to the araneiform shapes observed in theMartian polar regions and evaluated their similarity using the morphologicalanalysis of araneiforms. We showed that DLA model can successfully recreate 2Dshapes of different observed araneiforms. Modeling the creation of araneiformpatterns with DLA leads to better understanding of seasonal processes thatcreate them.

How Martian araneiforms get their shapes: morphological analysis and diffusion-limited aggregation model for polar surface erosion