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In one form of mapping, the galaxy is mapped using 3-dimensional Cartesian Coordinates to enumerate the sectors, centered on earth.
Most of the fluid flow equations are easily solved by discretizing procedures using the Cartesian Coordinates system.)
Then the Toroidal/Poloidal coordinate system relates to standard Cartesian Coordinates by these transformation rules:
The Geometry Center: 10.1 Formulas for Symmetries in Cartesian Coordinates (three dimensions)