“…Physical settings such as fluid flow in porous media [1], grain-grain displacement in Hele-Shaw cells [2], fracture dynamics [3], adatom and vacancy islands on crystal surfaces [4], and atomic ledges bordering crystalline facets [5,6] present interfaces that violate the hypothesis of the Cartesian representation. Biological systems are also characterized by an approximate spherical symmetry: bacterial colonies [7], fungi [8], epithelial cells [9], and cauliflowers [10] develop rough surfaces which are not describable from a planar reference frame. Also, different contexts like the technological liquid composite molding [11], geological processes as stromatolite morphogenesis [12], and chemical structures [13] provide examples of interfaces that either become larger as time evolves or have a curved geometry, revealing the broad presence of this phenomenon in the natural world.…”