The On-Line Encyclopedia of Bongard Problems

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BP541

Bongard Problems vs. anything else.

BP1

BP2

BP3

BP4

BP541

BP1073

blllmam

cat

nongard

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	COMMENTS	`This refers to all Bongard Problem solution ideas. No need to be a particularly well-made or well-defined Bongard Problem.`
	CROSSREFS	`Adjacent-numbered pages: BP536 BP537 BP538 BP539 BP540 * BP542 BP543 BP544 BP545 BP546`
	KEYWORD	`notso, meta (see left/right), links, world, left-self, right-null, left-it, feedback`
	WORLD	`everything [smaller \| same] zoom in left (bp)`
	AUTHOR	`Aaron David Fairbanks`

BP542

BP Pages on the OEBP vs. anything else.

BP1

BP2

BP3

BP542

BP1073

BP0

nolab

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	CROSSREFS	`Adjacent-numbered pages: BP537 BP538 BP539 BP540 BP541 * BP543 BP544 BP545 BP546 BP547`
	KEYWORD	`notso, meta (see left/right), links, oebp, world, left-self, right-null, left-it, feedback`
	WORLD	`everything [smaller \| same] zoom in left (bppage)`
	AUTHOR	`Aaron David Fairbanks`

BP544

Everything vs. nothing.

	&(%	0	BP1	BP544	BP1073
		dog	nothing

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	COMMENTS	`All ideas and things, with no limits.`
	CROSSREFS	`Adjacent-numbered pages: BP539 BP540 BP541 BP542 BP543 * BP545 BP546 BP547 BP548 BP549`
	KEYWORD	`notso, meta (see left/right), links, world, left-self, right-finite, right-full, left-null, left-it, feedback, experimental, funny`
	CONCEPT	`existence (info \| search)`
	WORLD	`everything [smaller \| same] zoom in left (everything) \| zoom in right (nothing)`
	AUTHOR	`Aaron David Fairbanks`

BP796

Image of a Bongard Problem that would sort a blank panel on its left versus image of a Bongard Problem that would sort a blank panel on its right.

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	CROSSREFS	`See BP567 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).` `Adjacent-numbered pages: BP791 BP792 BP793 BP794 BP795 * BP797 BP798 BP799 BP800 BP801`
	KEYWORD	`hard, nice, abstract, dual, handed, leftright, challenge, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant`
	WORLD	`boxes_bpimage [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP802

Image of Bongard Problem such that reflecting over the dividing line leaves the solution invariant versus not so.

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`Adjacent-numbered pages: BP797 BP798 BP799 BP800 BP801 * BP803 BP804 BP805 BP806 BP807`
	KEYWORD	`nice, meta (see left/right), miniproblems, creativeexamples, presentationmatters, assumesfamiliarity, structure`
	WORLD	`boxes_bpimage [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP803

Image of Bongard Problem such that rotating by a half-turn leaves the solution invariant versus not so.

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`Adjacent-numbered pages: BP798 BP799 BP800 BP801 BP802 * BP804 BP805 BP806 BP807 BP808`
	KEYWORD	`nice, meta (see left/right), miniproblems, creativeexamples, presentationmatters, assumesfamiliarity, structure`
	WORLD	`boxes_bpimage_three_per_side [smaller \| same \| bigger] zoom in left (half_turn_invariant_bp_image_3_per_side)`
	AUTHOR	`Aaron David Fairbanks`

BP827

Image of noisy Bongard Problem vs. image of Bongard Problem with minimal noise.

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	COMMENTS	`"Noise" is a property that changes between examples which is independent to the solution property.`
	CROSSREFS	`See BP511 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).` `See BP845 for noise in sequences of quantity increase.` `Adjacent-numbered pages: BP822 BP823 BP824 BP825 BP826 * BP828 BP829 BP830 BP831 BP832`
	KEYWORD	`nice, meta (see left/right), miniproblems, creativeexamples, presentationmatters, assumesfamiliarity, structure, contributepairs`
	WORLD	`boxes_bpimage_three_per_side [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP828

Image of Bongard Problem with one simple solution vs. image of Bongard Problem with two "independent" simple solutions.

(edit; present; nest [left/right]; search; history)

	COMMENTS	`Properties are considered independent if none logically implies the other (or its opposite).`
	CROSSREFS	`Adjacent-numbered pages: BP823 BP824 BP825 BP826 BP827 * BP829 BP830 BP831 BP832 BP833`
	KEYWORD	`nice, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure`
	CONCEPT	`exists_one (info \| search),` `two (info \| search)`
	WORLD	`boxes_bpimage_three_per_side [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP829

Image of a Bongard Problem with no simple solution versus image of a Bongard Problem with a simple solution.

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	COMMENTS	`Left examples have no solution, but they do not break the rules in ways so extreme that it is plainly impossible for them to have a solution, such as including the same image on both sides or including no images per side. (See such as including the same image on both sides or including no images per side.`
	CROSSREFS	`See BP522 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).` `See BP968 (flipped) for a version of this Bongard Problem including examples of invalid Bongard Problems that don't even admit a convoluted solution (the same image appears on both sides).` `Also see BP1080, which is similar to BP968, but including various different formats of Bongard Problems, distinguishing them from arbitrary images that are not Bongard Problems.` `Adjacent-numbered pages: BP824 BP825 BP826 BP827 BP828 * BP830 BP831 BP832 BP833 BP834`
	KEYWORD	`nice, meta (see left/right), miniproblems, creativeexamples, left-unknowable, right-narrow, assumesfamiliarity, structure, help, presentationinvariant`
	CONCEPT	`existence (info \| search),` `simplicity (info \| search),` `zero (info \| search)`
	WORLD	`boxes_bpimage_three_per_side_nosoln_allowed [smaller \| same \| bigger] zoom in right (boxes_bpimage_three_per_side)`
	AUTHOR	`Aaron David Fairbanks`

BP830

Image of a Bongard Problem with left side a "positive" property and right side the "negative" property versus vice versa.

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	COMMENTS	`Left: the left hand side is enough to communicate the answer; the left pattern can be seen without the counterexamples on the right.` `Right: the right hand side is enough to communicate the answer; the right pattern can be seen without counterexamples on the left.` `Flipping a BP will switch its sorting.` `The following is taken from the comments on page BP513 (keyword left-narrow):` `Call a pattern "narrow" if it is likely to be noticed in a collection of examples, without any counterexamples provided.` `A collection of triangles will be recognized as such; "triangles" is a narrow pattern. A collection of non-triangular shapes will just be seen as "shapes"; "not triangles" is not narrow.` `Narrow patterns tend to be phrased positively ("is [property]"), while non-narrow patterns opposite narrow patterns tend to be phrased negatively ("is not [property]").`
	CROSSREFS	`See keywords left-narrow and right-narrow.` `Adjacent-numbered pages: BP825 BP826 BP827 BP828 BP829 * BP831 BP832 BP833 BP834 BP835`
	KEYWORD	`dual, handed, leftright, meta (see left/right), miniproblems, contributepairs, viceversa, presentationinvariant`
	WORLD	`boxes_bpimage_three_per_side [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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