The spatial arrangements of stimuli in experiment 1 (panels A and B) and experiment 2 (panel C). All rival images were placed in a cue-rich 3D corridor, and the key manipulation was the configuration in which the rival images were presented. Specifically, the images were in the same depth plane (A, implausible, corresponding to the canonical BR configuration), separated in depth (B, semi-implausible), or spatially calibrated to simulate partial monocular occlusion (C, plausible). For illustrative purposes only, the far images and near images in experiment 1 are described by the respective top-down views. For each experiment, a top-down diagram of the different spatial layouts is also provided (right panels in A, B, and C). Small purple cubes/squares in images and diagrams indicate the fixation target. Three screen capture images are provided for each geometric condition, to allow readers to free-fuse and experience the depth manipulation. Readers who cross-fuse should fuse the left and center images (labeled LE view and RE view, respectively) and readers who use uncross-fusion should fuse the right and center images. Note that these screen captures contain image artifacts, such as barrel distortion artifacts. These artifacts were induced by the image acquisition process needed to separately capture left and right images and were not present in the experiment. D) Participants responded whenever they saw either one of two possible exclusive percepts, which corresponded to the left eye view or the right eye view. For experiment 1, this was a single motion direction or orientation. In experiment 2, exclusive percepts were perceiving either the occluding and partially occluded images with distinct orientations or motions, or just the occluding image with a single orientation or motion direction. Mixtures were defined as percepts that deviated from exclusive percepts, generally perceived as two superimposed orientations or motion directions.