Does Faceted Ice Growth Follow a Characteristic Pattern

Under certain heat conditions, ice crystals can form differently from the snowflakes that generally grow. Instead of attaching on the boundaries of a plane of ice, under these conditions, new water molecules will permeate a quasi-liquid layer above the ice that causes them to attach closer to the center of the plane and build up from there. These ice formations are close to cylindrical with patterns of roughness on the sides and top at the micrometer scale. The growth can be modeled with a system of partial differential equations that is similar to a reaction diffusion system. This project tries to fit the roughness on the ice to a Turing Pattern, a common phenomenon in reaction diffusion systems. This was done first by finding existing Turing Pattern models and altering them to fit the ice model. Then the pattern was assumed and parameters were tested for how they influence the frequency of roughness