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Symposium

Principles of Symmetry Perception

Peter A. van der Helm (convener and chair)




Outline of the symposium

Visual regularities like bilateral symmetry have a great impact on the way in which humans and animals experience and influence the world around them. For instance, humans and animals prefer symmetrical mates and bees prefer symmetrical flowers, thus causing a convergence on symmetrical forms in nature. But what is so special about symmetry? Does symmetry have specific intrinsic properties which made it almost inevitable that symmetry became an evolutionary relevant regularity? Has the symmetry preference been selected evolutionary because the degree of symmetry in the form of an organism indicates its quality? Or is the symmetry preference a consequence of visual systems being very sensitive to symmetry? But, then, how sensitive are visual systems to symmetry, and what are the mechanisms underlying symmetry processing? These and other questions will be addressed during the symposium which focuses on mathematical, biological, psychological, and neurophysiological research into the principles of symmetry perception.


Presentations

The Holographic Structure of Symmetry
Peter van der Helm
Nijmegen Institute for Cognition and Information, P.O. Box 9104, 6500 HE Nijmegen, The Netherlands

Abstract: Regularities in stimuli are generally thought to reflect something meaningful about objects or events in the external world. However, although many kinds of regularity can be imagined, visual systems are sensitive to only a few regularities, among which bilateral symmetry. In this talk I argue that the intrinsic 'holographic' structure of symmetry forms the basis of its special status in not only perception but also in e.g. molecular biology. The formal concept of holography is closely related to a concept of growth, and provides a rich conceptual framework for detailed empirical research into many specific aspects of symmetry perception.



The Evolution of Symmetries in Biological Signals
Magnus Enquist
Ethology, Department of Zoology, University of Stockholm, S-106 91 Stockholm, Sweden

Abstract: This talk reviews the various explanations that have been offered for the evolution of symmetries in biological signals. Symmetrical signals may have favoured signallers because such signals look the same from different viewpoints. Another possibility is that receivers react more strongly to symmetries. This may be a by-product of how the brain operates. For example, viewing objects from many angles, symmetries in the neural machinery itself or a generally symmetrical world could all contribute to such a bias. It has also been suggested that preferences for symmetry may actually entail a benefit to the receiver and for example allow a female to choose a better male with whom to reproduce.



Specialized Processing for Symmetry in the Human Brain: Psychophysical and fMRI Evidence
Christopher Tyler
Smith-Kettlewell Eye Research Institute, 2318 Fillmore Street, San Francisco, CA 94115, USA

Abstract: Perception of visual symmetries is of high aesthetic importance given their ubiquitous role in objects of human construction. Previous work implied that bilateral symmetry perception occurs mainly near the symmetry axis. We show that this result is attributable to the pattern spatial scale. Patterns scaled appropriately may be seen equally across the entire visual field, unimpaired by total removal of the axis region. These results suggest specialized brain mechanisms for symmetry processing rather than long-range interactions in primary cortex. Indeed, functional MRI studies showed little symmetry-related activity in areas V1-V5, but a strong, non-retinotopic response in the Middle Occipital Gyrus specific to pattern symmetries in general.


27th International Congress of Psychology, Stockholm, Sweden (2000)