Symmetry 2011, 3(2), 207-219; doi:10.3390/sym3020207

Visual Discrimination of the 17 Plane Symmetry Groups

Received: 1 April 2011; in revised form: 25 April 2011 / Accepted: 4 May 2011 / Published: 11 May 2011
(This article belongs to the Special Issue Symmetry Processing in Perception and Art)
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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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MDPI and ACS Style

Landwehr, K. Visual Discrimination of the 17 Plane Symmetry Groups. Symmetry 2011, 3, 207-219.

AMA Style

Landwehr K. Visual Discrimination of the 17 Plane Symmetry Groups. Symmetry. 2011; 3(2):207-219.

Chicago/Turabian Style

Landwehr, Klaus. 2011. "Visual Discrimination of the 17 Plane Symmetry Groups." Symmetry 3, no. 2: 207-219.

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