The On-Line Encyclopedia of Bongard Problems

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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`

BP1030

"Specific number vs. other number" vs. other solution.

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	CROSSREFS	`Adjacent-numbered pages: BP1025 BP1026 BP1027 BP1028 BP1029 * BP1031 BP1032 BP1033 BP1034 BP1035`
	KEYWORD	`precise, allsorted, notso, 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`

BP1031

"Less than ___ vs. greater than ___" vs. other solution.

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	CROSSREFS	`See the twin BP1039.` `Adjacent-numbered pages: BP1026 BP1027 BP1028 BP1029 BP1030 * BP1032 BP1033 BP1034 BP1035 BP1036`
	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`

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`

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`

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`

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`

BP1075

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`

BP1113

Bongard Problems relating to the OEBP vs. Bongard Problems unrelated to the OEBP.

BP503	BP504	BP518	BP542	BP546	BP919
BP930	BP943	BP967	BP1113	BP1121	BP1125
BP1150	BP1174

BP1	BP2	BP3	BP4	BP5	BP6
BP7	BP8	BP9	BP10	BP11	BP12
BP13	BP14	BP15	BP16	BP17	BP18
BP19	BP20	BP21	BP22	BP23	BP24
BP25	BP26	BP27	BP28	BP29	BP30
BP31	BP32	BP33	BP34	BP35	. . .

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	COMMENTS	`Bongard Problems sorted left have the keyword "oebp" on the OEBP.` `Most Bongard Problems relating to the OEBP are meta.`
	CROSSREFS	`Adjacent-numbered pages: BP1108 BP1109 BP1110 BP1111 BP1112 * BP1114 BP1115 BP1116 BP1117 BP1118`
	KEYWORD	`notso, meta (see left/right), links, keyword, oebp, left-self, metameta`
	AUTHOR	`Leo Crabbe`

BP1142

Bongard Problems where there is no way to turn an example into any other sorted example by adding black OR white (not both) vs. Bongard Problems where some example can be altered in this way and remain sorted.

BP285	BP304	BP328	BP329	BP342	BP801
BP934	BP1017	BP1056	BP1104	BP1145	BP1155
BP1156	BP1223	BP1269

BP859

BP962

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	COMMENTS	`Left-sorted problems have the keyword "finishedexamples" on the OEBP.` `The addition does not have to be slight.` `Left-sorted Problems usually have a very specific collection of examples, where the only images sorted all show the same type of object.` `Any Bongard Problem where all examples are one shape outline will be sorted left, and (almost) any Bongard Problem where all examples are one fill shape will be sorted right.`
	CROSSREFS	`See BP1144 for the version about both additions and erasures, and only slight changes are considered.` `See BP1167 for a stricter version, the condition that all examples have the same amount of black and white.` `Adjacent-numbered pages: BP1137 BP1138 BP1139 BP1140 BP1141 * BP1143 BP1144 BP1145 BP1146 BP1147`
	KEYWORD	`unwordable, notso, meta (see left/right), links, keyword, sideless, problemkiller`
	AUTHOR	`Leo Crabbe`

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