Shape-setting methods for fabricating devices made of single crystal shape memory alloys. In particular the methods described may be used to fabricate dental arches of single-crystal shape memory alloys. The methods include drawing a single crystal of a shape memory alloy from a melt of the alloy. This is followed by heating, forming, and quenching the crystal sufficiently rapid to limit the formation of alloy precipitates to an amount which retains hyperelastic composition and properties of the crystal.