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Visual Discrimination of the 17 Plane Symmetry Groups
Johannes Gutenberg-Universität Mainz, Allgemeine Experimentelle Psychologie, Wallstraße 3, D-55122 Mainz, Germany
Received: 1 April 2011; in revised form: 25 April 2011 / Accepted: 4 May 2011 / Published: 11 May 2011
Abstract: Within most of the 17 plane symmetry groups, individual symmetry operations act in multiple, nonequivalent ways. This, and the fact that many groups can be realized on the basis of different unit cells and generating regions, poses difficulties for visual discrimination and identification. Because of inherent confounds, only few of the groups can be studied by traditional experimental methodology. The use of an oddity paradigm and specific tiling patterns that camouflage groups in complex textures are recommended as partial remedy to this impasse. In order to prepare readers for an appreciation of the aforementioned issues and to provide a rationale for their investigation, the reporting of experiments and the discussion of methodological problems is preceded by a brief overview of the role which symmetry has played in the visual arts.
Keywords: plane symmetry groups; visual perception; experimental paradigms; camouflage; visual art
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Cite This Article
MDPI and ACS Style
Landwehr, K. Visual Discrimination of the 17 Plane Symmetry Groups. Symmetry 2011, 3, 207-219.
Landwehr K. Visual Discrimination of the 17 Plane Symmetry Groups. Symmetry. 2011; 3(2):207-219.
Landwehr, Klaus. 2011. "Visual Discrimination of the 17 Plane Symmetry Groups." Symmetry 3, no. 2: 207-219.