Abstract: A moldable material shaping system for shaping a moldable material, the system comprising a thermal transfer mold having an internal cavity configured to receive a moldable material, the internal cavity further comprising an internal mold shape, a thermally controlled heat source subsystem configured to heat the thermal transfer mold and the moldable material received in the thermal transfer mold thereby reshaping the moldable material to a deformed moldable material shape conforming to the internal mold shape. Some embodiments further comprise a cooling source subsystem configured to cool the thermal transfer mold and stabilize the moldable material inside the thermal transfer mold to maintain the deformed moldable material shape. Methods of molding a moldable material are also disclosed.