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IcyDwarf calculates the coupled physical-chemical evolution of an icy dwarf planet or moon. The code calculates the thermal evolution of an icy planetary body (moon or dwarf planet), with no chemistry, but with rock hydration, dehydration, hydrothermal circulation, core cracking, tidal heating, and porosity; the depth of cracking and a bulk water:rock ratio by mass in the rocky core are also computed. It also calculates whether cryovolcanism is possible by the exsolution of volatiles from cryolavas. IcyDwarf also determines the equilibrium fluid and rock chemistries resulting from water-rock interaction in subsurface oceans in contact with a rocky core, up to 200ºC and 1000 bar.