“…The formation of arborized patterns in physical and chemical systems is driven by a variety of processes all of which involve a combination of erosion, transport, and deposition. On the laboratory scale, these processes can involve chemical dissolution of brittle matrices by a penetrating reactive fluid [2,3], advective rearrangement of unconsolidated media, dielectric breakdown of conducting media [4,5], formation of fingerlike protrusions in dense granular suspensions [6], formation of beach rills in natural drainage systems [7,8], etc. On planetary scales, melt transport in the mantle arises via branching morphologies that lead to localized channels of widths up to 100 m [9][10][11], and water-driven erosion and branching in glaciers arises on scales of the order of 10 m [12].…”