The On-Line Encyclopedia of Bongard Problems

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Images of Bongard Problems that sort an image of their left side on their left and an image of their right side on their left vs. images of Bongard Problems that sort an image of their left side on their right and an image of their right side on their right.

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	CROSSREFS	`See also BP957 for the other two evident possibilities.` `Adjacent-numbered pages: BP950 BP951 BP952 BP953 BP954 * BP956 BP957 BP958 BP959 BP960`
	KEYWORD	`abstract, dual, handed, leftright, solved, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, experimental`
	CONCEPT	`self-reference (info \| search)`
	WORLD	`oblong_boxes_bpimage_sorts_both_sides_skewed [smaller \| same \| bigger] zoom in left (oblong_boxes_bpimage_sorts_both_sides_left) \| zoom in right (oblong_boxes_bpimage_sorts_both_sides_right)`
	AUTHOR	`Leo Crabbe`

BP957

Images of Bongard Problems that sort an image of their left side on their left and an image of their right side on their right vs. images of Bongard Problems that sort an image of their left side on their right and an image of their right side on their left.

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	CROSSREFS	`See also BP955 for the other two evident possibilities.` `Adjacent-numbered pages: BP952 BP953 BP954 BP955 BP956 * BP958 BP959 BP960 BP961 BP962`
	KEYWORD	`nice, abstract, solved, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, experimental`
	CONCEPT	`self-reference (info \| search)`
	WORLD	`oblong_panels_bpimage_sorts_both_sides_balanced [smaller \| same \| bigger] zoom in left (oblong_panels_bpimage_sorts_both_sides_stay) \| zoom in right (oblong_panels_bpimage_sorts_both_sides_swap)`
	AUTHOR	`Leo Crabbe`

BP968

Valid Bongard Problem vs. invalid Bongard Problem.

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	COMMENTS	`"Invalid Bongard Problems" are images that look sort of like Bongard Problems but aren't actually Bongard Problems.` `With many examples included, this Problem might be placed somewhere to nonverbally show someone the subtler rules about what is allowed and what isn't allowed in Bongard Problems.` `See BP829 for the Bongard Problem about Bongard Problems with no clear solution.`
	CROSSREFS	`See BP522 (flipped) for a version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).` `See BP829 (flipped) for a near exact copy of this Bongard Problem idea but that does not include images with two of the same boxes on either side.` `Also see BP1080, which includes various different formats of Bongard Problems, distinguishing them from arbitrary images that are not Bongard Problems.` `Adjacent-numbered pages: BP963 BP964 BP965 BP966 BP967 * BP969 BP970 BP971 BP972 BP973`
	KEYWORD	`teach, meta (see left/right), miniproblems, assumesfamiliarity, structure`
	AUTHOR	`Jago Collins`

BP987

Solution could appear in a Bongard Problem featuring an image of itself on either of its sides vs. solution can appear in a Bongard Problem featuring an image of itself on a certain side only.

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	COMMENTS	`All examples are Bongard Problems fitting left in BP954.` `This is very close to BP927, specialized to Bongard Problems fitting left in BP954. The difference is that a Bongard Problem solution would fit left in BP927 but right here if it can sort images of it on both sides, but it is impossible to make an image of it fractally including itself on a certain side. An example is EX7997.` `Meta Bongard Problems appearing in BP793 that are presentationinvariant necessarily fit right here.`
	CROSSREFS	`Adjacent-numbered pages: BP982 BP983 BP984 BP985 BP986 * BP988 BP989 BP990 BP991 BP992`
	KEYWORD	`abstract, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant, visualimagination`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	AUTHOR	`Leo Crabbe`

BP1024

One sorted left vs. one sorted right.

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	CROSSREFS	`Adjacent-numbered pages: BP1019 BP1020 BP1021 BP1022 BP1023 * BP1025 BP1026 BP1027 BP1028 BP1029`
	KEYWORD	`precise, allsorted, dual, handed, leftright, math, meta (see left/right), miniproblems, assumesfamiliarity, structure, preciseworld, presentationinvariant`
	WORLD	`boxes_dots_bpimage_clear_set_of_numbers [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1025

Two consecutive numbers sorted left vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP1020 BP1021 BP1022 BP1023 BP1024 * BP1026 BP1027 BP1028 BP1029 BP1030`
	KEYWORD	`precise, allsorted, notso, handed, leftright, math, meta (see left/right), miniproblems, assumesfamiliarity, structure, preciseworld, presentationinvariant`
	WORLD	`boxes_dots_bpimage_clear_set_of_numbers [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1026

Not an inequality solution vs. inequality solution.

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	CROSSREFS	`Adjacent-numbered pages: BP1021 BP1022 BP1023 BP1024 BP1025 * BP1027 BP1028 BP1029 BP1030 BP1031`
	KEYWORD	`precise, allsorted, math, meta (see left/right), miniproblems, assumesfamiliarity, structure, preciseworld, presentationinvariant`
	WORLD	`boxes_dots_bpimage_clear_set_of_numbers [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1027

Solution is "one dot vs. more than one dot" vs. other solution.

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	CROSSREFS	`Adjacent-numbered pages: BP1022 BP1023 BP1024 BP1025 BP1026 * BP1028 BP1029 BP1030 BP1031 BP1032`
	KEYWORD	`precise, allsorted, notso, arbitrary, handed, leftright, meta (see left/right), miniproblems, assumesfamiliarity, structure, preciseworld, presentationinvariant`
	WORLD	`boxes_dots_bpimage_clear_set_of_numbers [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1028

An even number is the least sorted left vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP1023 BP1024 BP1025 BP1026 BP1027 * BP1029 BP1030 BP1031 BP1032 BP1033`
	KEYWORD	`precise, allsorted, notso, handed, leftright, math, meta (see left/right), miniproblems, assumesfamiliarity, structure, preciseworld, presentationinvariant`
	WORLD	`boxes_dots_bpimage_clear_set_of_numbers [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1029

Multiple distinct differences between successive left numbers vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP1024 BP1025 BP1026 BP1027 BP1028 * BP1030 BP1031 BP1032 BP1033 BP1034`
	KEYWORD	`precise, allsorted, notso, handed, leftright, math, meta (see left/right), miniproblems, assumesfamiliarity, structure, preciseworld, presentationinvariant`
	WORLD	`boxes_dots_bpimage_clear_set_of_numbers [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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