“…This configuration is the three-dimensional analogue with liquids of the ring configuration initially imagined by Mott (1947) for solids in two dimensions (see also Grady (2006) and Zhang & Ravi-Chandar (2007, and § 2.3 for its discrete version with magnets). This problem, in which the envelope fragment distribution is the result of a competition between deformation and cohesion, is relevant to a collection of phenomena spanning over a broad range of length scales, among which are: exploding blood cells and bacteria (antibiotics like penicillin disrupt cell walls by explosive lysis, Flores-Kim et al (2019)), spore dispersal from plants (Ingold 1971;Hassett et al 2013), boiling droplets (Frost 1988;van Limbeek et al 2013;Antonov, Piskunov & Strizhak 2019), underwater explosions (Cole 1948), magma eruption in volcanoes (Kedrinskii 2009;Sonder et al 2018), up to the torn patterns of supernovae in the Universe (Burrows 2000), among other examples. Case shells, bombs are obvious examples where one would like an a priori knowledge of the final fragments as a function of the energy released by the explosion, and of the physical properties of the enclosing envelope (Zeldovich & Raizer 2002;Kedrinskii 2005;Frost et al 2007).…”