A Companion Volume —
See as well this journal on the above publication date —
Friday, July 8, 2022
“Wakey, wakey!” — Doctor Sleep (the movie)
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Thursday, July 7, 2022
Symmetry
In memory of D. W. Crowe, dead on the Fourth of July.
Crowe's obituary describes him as . . .
"a geometer specializing in the study of symmetry
and patterns in primitive art."
See also Crowe in this journal.
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Sunday, December 9, 2012
Adam in Eden
"… we have taken the first steps
in decoding the uniquely human
fascination with visual patterns…."
— W. Tecumseh Fitch et al. , July 2012
Fitch cites the following as a reference:
Washburn and Crowe discuss symmetries in general, but
not the Galois geometry underlying patterns like some of
those shown on their book's cover.
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Tuesday, September 11, 2012
Symmetry and Hierarchy
A followup to Intelligence Test (April 2, 2012).
Philosophical Transactions of the Royal Society
B (2012) 367, 2007–2022
(theme issue of July 19, 2012) —
Gesche Westphal-Fitch [1], Ludwig Huber [2],
Juan Carlos Gómez [3], and W. Tecumseh Fitch [1]
Juan Carlos Gómez [3], and W. Tecumseh Fitch [1]
[1] Department of Cognitive Biology, University of Vienna,
Althanstrasse 14, 1090 Vienna, Austria
Althanstrasse 14, 1090 Vienna, Austria
[2] Messerli Research Institute, University of Veterinary Medicine Vienna,
Medical University of Vienna and University of Vienna,
Veterinärplatz 1, 1210 Vienna, Austria
Medical University of Vienna and University of Vienna,
Veterinärplatz 1, 1210 Vienna, Austria
[3] School of Psychology, St Mary’s College, University of St Andrews,
South Street, St Andrews, KY16 9JP, UK
South Street, St Andrews, KY16 9JP, UK
Excerpt (added in an update on Dec. 8, 2012) —
Conclusion —
"… We believe that applying the theoretical
framework of formal language theory to two-dimensional
patterns offers a rich new perspective on the
human capacity for producing regular, hierarchically
organized structures. Such visual patterns may actually
prove more flexible than music or language for probing
the full extent of human pattern processing abilities.
With the results presented here, we have taken the
first steps in decoding the uniquely human fascination
with visual patterns, what Gombrich termed our
‘sense of order’.
Although the patterns we studied are most similar
to tilings or mosaics, they are examples of a much
broader type of abstract plane pattern, a type found
in virtually all of the world’s cultures [4]. Given that
such abstract visual patterns seem to represent
human universals, they have received astonishingly
little attention from psychologists. This neglect is particularly
unfortunate given their democratic nature,
their popular appeal and the ease with which they
can be generated and analysed in the laboratory.
With the current research, we hope to spark renewed
scientific interest in these ‘unregarded arts’, which
we believe have much to teach us about the nature of
the human mind."
the human mind."
[4] Washburn, D. K. & Crowe, D. W.,1988
Symmetries of Culture:
Theory and Practice of Plane Pattern Analysis.
Seattle, WA: University of Washington Press.
Symmetries of Culture:
Theory and Practice of Plane Pattern Analysis.
Seattle, WA: University of Washington Press.
Commentary —
For symmetry , see Finite Geometry of the Square and Cube.
For hierarchy , see my assessment of Gombrich.
For culture , see T. S. Eliot and Russell Kirk on Eliot.
For culture , see T. S. Eliot and Russell Kirk on Eliot.
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