The On-Line Encyclopedia of Bongard Problems

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Bongard Problem is the beginning of a chain of meta Bongard Problems containing meta Bongard Problems on the left side that eventually ends in BP1 vs. not so.

BP1

BP1075

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	COMMENTS	`This is an example of a meta Bongard Problem that sorts itself left, and would still sort itself left after the sides in the title were switched.` `That is, this BP is tagged the keyword left-self and so would its flipped version be.`
	CROSSREFS	`See also the keyword feedback for chains of meta Bongard Problems that eventually form loops.` `Adjacent-numbered pages: BP1070 BP1071 BP1072 BP1073 BP1074 * BP1076 BP1077 BP1078 BP1079 BP1080`
	KEYWORD	`notso, arbitrary, meta (see left/right), links, left-self, experimental`
	CONCEPT	`recursion (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP1074

Meta Bongard Problem in a chain of Problems containing other Problems that eventually loops back to itself vs. this cannot happen.

BP503	BP509	BP510	BP517	BP518	BP519
BP537	BP539	BP541	BP542	BP544	BP546
BP547	BP687	BP691	BP794	BP1000	BP1007
BP1073	BP1074

BP947

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	COMMENTS	`Left examples have the keyword "feedback" on the OEBP.`
	CROSSREFS	`"Feedback" implies not wellfounded.` `Left-it" or right-it implies "feedback".` `Adjacent-numbered pages: BP1069 BP1070 BP1071 BP1072 BP1073 * BP1075 BP1076 BP1077 BP1078 BP1079`
	KEYWORD	`arbitrary, meta (see left/right), links, keyword, left-self, metameta, left-it, feedback, experimental`
	CONCEPT	`recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`linksbp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1073

Bongard Problems that would sort this Bongard Problem left vs. Bongard Problems that would sort this Bongard Problem right.

BP503	BP510	BP518	BP539	BP541	BP542
BP544	BP547	BP550	BP687	BP691	BP794
BP1000	BP1074	BP1242

BP509

BP519

BP895

BP902

BP1150

?
BP517

?
BP950

?
BP1073

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	COMMENTS	`This is the "it" Problem.` `Left-sorted Bongard Problems have the keyword "left-it" on the OEBP.` `Right-sorted Bongard Problems have the keyword "right-it" on the OEBP.`
	CROSSREFS	`Left-it or right-it implies feedback.` `Adjacent-numbered pages: BP1068 BP1069 BP1070 BP1071 BP1072 * BP1074 BP1075 BP1076 BP1077 BP1078`
	KEYWORD	`nice, meta (see left/right), links, keyword, side, metameta, feedback, time, experimental, funny, testexample, presentationinvariant`
	CONCEPT	`recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`linksbp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1043

Dots Bongard Problem vs. nothing.

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	CROSSREFS	`Adjacent-numbered pages: BP1038 BP1039 BP1040 BP1041 BP1042 * BP1044 BP1045 BP1046 BP1047 BP1048`
	KEYWORD	`less, precise, allsorted, notso, meta (see left/right), miniproblems, example, assumesfamiliarity, structure, preciseworld, presentationinvariant`
	WORLD	`boxes_dots_bpimage_clear_set_of_numbers [smaller \| same \| bigger] zoom in right (nothing)`
	AUTHOR	`Aaron David Fairbanks`

BP1042

"No panels vs. dots" or "dots vs. no panels" vs. other dots Bongard Problem.

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	CROSSREFS	`Adjacent-numbered pages: BP1037 BP1038 BP1039 BP1040 BP1041 * BP1043 BP1044 BP1045 BP1046 BP1047`
	KEYWORD	`less, precise, allsorted, notso, meta (see left/right), miniproblems, example, assumesfamiliarity, structure, preciseworld, presentationinvariant`
	CONCEPT	`or (info \| search)`
	WORLD	`boxes_dots_bpimage_clear_set_of_numbers [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1041

Right finite vs. right infinite.

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	CROSSREFS	`See BP1032 for left infinite vs. left finite. That is this Problem with with sides flipped and sides of mini-Problems flipped.` `See BP516 (right-finite) for a version that sorts links to Bongard Problems and not just about numbers, instead of images of Bongard Problems (miniproblems) about numbers.` `Adjacent-numbered pages: BP1036 BP1037 BP1038 BP1039 BP1040 * BP1042 BP1043 BP1044 BP1045 BP1046`
	KEYWORD	`precise, allsorted, handed, leftright, meta (see left/right), miniproblems, assumesfamiliarity, structure, preciseworld`
	WORLD	`boxes_dots_bpimage_clear_set_of_numbers [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1040

Left is union of (non-constant) arithmetic progressions vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP1035 BP1036 BP1037 BP1038 BP1039 * BP1041 BP1042 BP1043 BP1044 BP1045`
	KEYWORD	`hard, precise, allsorted, convoluted, notso, handed, leftright, math, challenge, meta (see left/right), miniproblems, assumesfamiliarity, structure, preciseworld, presentationinvariant`
	WORLD	`boxes_dots_bpimage_clear_set_of_numbers [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1039

"Greater than ___ vs. less than ___" vs. other solution.

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	CROSSREFS	`See the twin BP1031.` `Adjacent-numbered pages: BP1034 BP1035 BP1036 BP1037 BP1038 * BP1040 BP1041 BP1042 BP1043 BP1044`
	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`

BP1038

Reciprocals of right numbers summed in infinite series converge vs. diverge.

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	CROSSREFS	`Adjacent-numbered pages: BP1033 BP1034 BP1035 BP1036 BP1037 * BP1039 BP1040 BP1041 BP1042 BP1043`
	KEYWORD	`hard, precise, allsorted, handed, leftright, math, challenge, meta (see left/right), miniproblems, assumesfamiliarity, structure, preciseworld, presentationinvariant`
	WORLD	`boxes_dots_bpimage_clear_set_of_numbers [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1037

A multiple of a left number fits right vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP1032 BP1033 BP1034 BP1035 BP1036 * BP1038 BP1039 BP1040 BP1041 BP1042`
	KEYWORD	`precise, allsorted, 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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