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At Los Alamos National Laboratory, Los Alamos, NM, we are constructing a multilayer prototype camera using silicon pixel detectors. Each pixel detector is 5.80 cm×6.30 cm×200 μm. The pixels are 3 mm×3 mm in size. With this prototype, we intend to study electron-tracking techniques along with the three-plane Compton-imaging technique. In this paper, we present results of the initial simulation studies of the three-plane Compton-imaging technique using our prototype detector geometry for monoenergetic gamma sources with energies from 100 keV to 500 keV. The GEANT simulation package was used to carry out these studies.