A system and method for determining positions in three-dimensional space are described. The superconducting wire transposition method characterized of different winding start positions of at least two disks wound with a plurality of parallel superconductive wires, and usage of different superconducting wires for conductors to be connected between the disks, thereby forming transpositions outside of the disks. According to aspects of the present invention, the organic solvent is at least one type of compound selected from toluene and benzene, the basic compound is at least one type of compound selected from sodium hydroxide, potassium hydroxide and calcium hydroxide, and the reaction temperature is between \u22125\xb0 C. The communication section transmits the unit information to the administration server.