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The Interchangeable Module Stellarator (IMS) is a new toroidal stellarator-type device under design and construction at the University of Wisconsin Torsatron/Stellarator Laboratory. A new design strategy for constructing stellarator magnetic fields from discrete modular coils has been developed, utilizing orthogonal toroidal coordinates. Application of this method has resulted in a modular coil system (IMS), whose magnetic structure closely approximates that of the Proto-Cleo Q = 3 7-field period device (i. e., rotational transform, shear, flux volume, etc.).