The On-Line Encyclopedia of Bongard Problems

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Image of something 2-D vs. image of something 3-D.

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	CROSSREFS	`Adjacent-numbered pages: BP326 BP327 BP328 BP329 BP330 * BP332 BP333 BP334 BP335 BP336`
	KEYWORD	`abstract, anticomputer, collective, traditional, dithering`
	CONCEPT	`dimensionality (info \| search),` `3d_solid (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Random arrangement of pixels vs. not so.

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	COMMENTS	`By "random" we mean it's reasonable to expect each pixel in the image was chosen with a constant, consistent chance of being black or white.`
	CROSSREFS	`Adjacent-numbered pages: BP354 BP355 BP356 BP357 BP358 * BP360 BP361 BP362 BP363 BP364`
	KEYWORD	`nice, right-narrow, collective, experimental, blackwhiteinvariant`
	CONCEPT	`pattern_or_random (info \| search)`
	WORLD	`bmp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Order is high (low entropy) vs. order is low (high entropy).

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	COMMENTS	`"Order versus chaos."`
	CROSSREFS	`Adjacent-numbered pages: BP355 BP356 BP357 BP358 BP359 * BP361 BP362 BP363 BP364 BP365`
	KEYWORD	`nice, abstract, collective, contributepairs, traditional, miniworlds`
	CONCEPT	`pattern_or_random (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Correct vs. incorrect.

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	COMMENTS	`"True" vs. "false."`
	CROSSREFS	`Adjacent-numbered pages: BP388 BP389 BP390 BP391 BP392 * BP394 BP395 BP396 BP397 BP398`
	KEYWORD	`nice, fuzzy, abstract, collective, contributepairs, traditional, rules, miniworlds, dithering`
	CONCEPT	`categorization (info \| search),` `true_false (info \| search)`
	AUTHOR	`Jago Collins`

Number pointed to on number line is "important" mathematical constant vs. not so.

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	COMMENTS	`This is the "harder version" of BP505.`
	CROSSREFS	`Adjacent-numbered pages: BP796 BP797 BP798 BP799 BP800 * BP802 BP803 BP804 BP805 BP806`
	KEYWORD	`hard, less, abstract, math, subjective, challenge, right-unknowable, collective, experimental, finishedexamples`
	AUTHOR	`Aaron David Fairbanks`

Representations of natural mathematical objects vs. representations of arbitrary objects.

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	COMMENTS	`This is a very inexact 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`

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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