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Search: ex:EX6735
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BP813 Representations of natural mathematical objects vs. representations of arbitrary objects.
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COMMENTS

This is a very fuzzy definition. Some left examples arguably should be placed on the right, since the particular way they are represented is arbitrary--the Platonic solids EX6730 and primes EX6734 especially, as these show arbitrary placement and arrangement of objects. Furthermore if arbitrary representations are allowed one cannot be sure for example the right hand drawing of random numbers EX6740 does not represent "numbers" in general. Still this Bongard Problem has been solved by people.

CROSSREFS

Adjacent-numbered pages:
BP808 BP809 BP810 BP811 BP812  *  BP814 BP815 BP816 BP817 BP818

KEYWORD

fuzzy, abstract, stretch, math, solved, collective, experimental, dithering

AUTHOR

Aaron David Fairbanks

BP847 Evokes the idea of symmetry vs. not so.
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COMMENTS

Or, perhaps more concretely, "Depiction of object with some symmetry (invariance under transformation) vs. depiction of object with no simple symmetries."

CROSSREFS

Adjacent-numbered pages:
BP842 BP843 BP844 BP845 BP846  *  BP848 BP849 BP850 BP851 BP852

KEYWORD

nice, fuzzy, abstract, math, concept, collective, dithering

CONCEPT symmetry (info | search)

AUTHOR

Leo Crabbe

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