Abstract
Subjects imagined a designated two-dimensional shape rotating within a blank, circular field at a self-determined rate. At some point during the mental rotation, a test shape was presented at one of 12 picture-plane orientations, and the subject was required to determine as rapidly as possible whether the test shape was the same as the originally designated shape or was its mirror image. When the test shape was presented in the expected orientation (the orientation assumed to correspond to the current orientation of the rotating internal representation), reaction time was short and constant, regardless of the angular departure of that orientation from a previously trained position. This was true even when the test shape was presented in an orientation which had not previously been tested. When the test shape was presented at some other, unexpected orientation, reaction time increased linearly with the angular difference between the expected orientation and the orientation of the test shape. It is argued that these results provide a demonstration of the \ldanalog\rd nature of mental rotation.
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Cooper, L. A. Mental rotation of random two-dimensional shapes.Cognitive Psychology. 1975,7, 20–43.
Cooper, L. A., &Shepard, R. N. Chronometric studies of the rotation of mental images. In W. G. Chase (Ed.).Visual information processing. New York: Academie Press. 1973.
Metzler, J.Cognitive analogues of the rotation of three-dimensional objects. Unpublished doctoral dissertation. Stanford University. 1973.
Metzler, J., &Shepard, R. N. Transformational studies of the internal representation of three-dimensional objects. In R. Solso (Ed.).Theones of cognitive psychology The Loyola symposium. Potomac. Md. Lawrence Erlbaum. 1974.
Shepard, R. N. Form. formation and transformation of internal representations. In R. Solso (Ed.).Information processing and cognition: The Loyola symposium. Potomac. Md: Lawrence Erlbaurn, 1975.
Shepard, R. N., &Metzler, J. Mental rotation of three-dimensional objects.Science, 1971,171, 701–703.
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This research was supported primary by National Science Foundation Grant GB-31971X to Roger N. Shepard and also in part by National Institute of Mental Health Small Grant MH 25722-01 to the author. Roger N. Shepard provided extremely helpful discussion and advice during all stages of this research. Jim Cunningham and Jay McClelland provided valuable comments on the manuscript.
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Cooper, L.A. Demonstration of a mental analog of an external rotation. Perception & Psychophysics 19, 296–302 (1976). https://doi.org/10.3758/BF03204234
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DOI: https://doi.org/10.3758/BF03204234