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The National High Magnetic Field Laboratory in Tallahassee, FL, USA, is designing a high field magnet for condensed matter physics with the field perpendicular to the access tube. The traditional approach to such magnets is to build a split pair of solenoids. Various novel alternate approaches have been examined and compared with split pairs. A particularly attractive option consists of concentric nested Bitter coils tilted 45 degrees to the axis. By energizing the coils in opposition, the axial components of field from the various coils can be made to cancel resulting in a purely transverse field. Preliminary designs including field, power and stress estimates are presented.