The On-Line Encyclopedia of Bongard Problems

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Bongard Problems such that potential left examples can intuitively be put in bijection with potential right examples vs. other Bongard Problems.

BP7	BP8	BP19	BP36	BP43	BP45
BP54	BP55	BP63	BP64	BP67	BP95
BP106	BP109	BP157	BP158	BP180	BP196
BP197	BP211	BP234	BP278	BP279	BP286
BP313	BP337	BP357	BP363	BP372	BP513
BP514	BP515	BP516	BP517	BP793	. . .

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	COMMENTS	`This is the keyword "dual" on the OEBP.` `Given an example there is some way to "flip sides" by altering it. The left-to-right and right-to-left transformations should be inverses.` `It is not required that there only be one such transformation. For example, for many handed Bongard Problem, flipping an example over any axis will reliably switch its sorting.` `It is not required that every left example must have its corresponding right example uploaded on the OEBP nor vice versa. See the keyword contributepairs for the BPs the OEBP advises users upload left and right examples for in pairs.`
	CROSSREFS	`Adjacent-numbered pages: BP529 BP530 BP531 BP532 BP533 * BP535 BP536 BP537 BP538 BP539`
	KEYWORD	`meta (see left/right), links, keyword, sideless`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP550

Experimental Bongard Problems vs. traditional-style Bongard Problems.

BP195	BP200	BP300	BP359	BP538	BP544
BP545	BP548	BP555	BP570	BP793	BP795
BP797	BP801	BP812	BP813	BP844	BP854
BP859	BP862	BP868	BP902	BP911	BP915
BP920	BP939	BP941	BP942	BP953	BP955
BP957	BP959	BP1008	BP1056	BP1073	. . .

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	`Left examples have the keyword "experimental" on the OEBP.` `Right examples have the keyword "traditional" on the OEBP.` `Experimental BPs push the boundaries of what makes Bongard Problems Bongard Problems.` `Traditional BPs show some simple property of black and white pictures. The OEBP is a place with many wild and absurd Bongard Problems, so it is useful to have an easy way to just find the regular old Bongard Problems.`
	CROSSREFS	`Adjacent-numbered pages: BP545 BP546 BP547 BP548 BP549 * BP551 BP552 BP553 BP554 BP555`
	KEYWORD	`subjective, meta (see left/right), links, keyword, left-it`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP556

Visual Bongard Problems such that if black and white are switched some examples switch sides vs. visual Bongard Problems that would always sort two switched versions the same way.

	BP157	BP196	BP211	BP337	BP859	BP962
	BP971	BP972	BP1008	BP1161	BP1249	BP1252

	BP170	BP359	BP524	BP1089	BP1093	BP1210
	BP1230

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	COMMENTS	`Left-sorted examples have the keyword "blackwhite" on the OEBP.` `Right-sorted examples have the keyword "blackwhiteinvariant" on the OEBP.` `All examples are visual Bongard Problems that allow black to touch the bounding box (keyword bordercontent).`
	CROSSREFS	`Adjacent-numbered pages: BP551 BP552 BP553 BP554 BP555 * BP557 BP558 BP559 BP560 BP561`
	KEYWORD	`meta (see left/right), links, keyword, invariance, wellfounded`
	CONCEPT	`black_white_inversion (info \| search)`
	WORLD	`visualbp [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP594

Bongard Problem with solution relating to concept: background of box vs. Bongard Problem unrelated to this concept.

BP157

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	CROSSREFS	`Adjacent-numbered pages: BP589 BP590 BP591 BP592 BP593 * BP595 BP596 BP597 BP598 BP599`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "background"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

BP596

Bongard Problem with solution relating to concept: box (of Bongard Problem) vs. Bongard Problem unrelated to this concept.

	BP8	BP157	BP209	BP234	BP257	BP321
	BP818	BP933	BP942

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	CROSSREFS	`Adjacent-numbered pages: BP591 BP592 BP593 BP594 BP595 * BP597 BP598 BP599 BP600 BP601`
	KEYWORD	`meta (see left/right), links, metaconcept, primitive`
	CONCEPT	`This MBP is about BPs that feature concept: "bounding_box"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

BP676

Bongard Problem with solution relating to concept: outlined / filled vs. Bongard Problem unrelated to this concept.

BP3	BP25	BP26	BP27	BP28	BP41
BP45	BP48	BP56	BP58	BP79	BP90
BP93	BP94	BP128	BP157	BP180	BP189
BP190	BP211	BP244	BP261	BP282	BP283
BP284	BP288	BP301	BP337	BP341	BP1223

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	CROSSREFS	`Adjacent-numbered pages: BP671 BP672 BP673 BP674 BP675 * BP677 BP678 BP679 BP680 BP681`
	KEYWORD	`meta (see left/right), links, metaconcept, primitive`
	CONCEPT	`This MBP is about BPs that feature concept: "outlined_filled"` `Searchable synonyms: "color", "filled".`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

BP763

Bongard Problem with solution relating to concept: texture vs. Bongard Problem unrelated to this concept.

BP3	BP9	BP25	BP26	BP27	BP28
BP34	BP35	BP41	BP45	BP48	BP56
BP58	BP63	BP79	BP90	BP93	BP94
BP95	BP107	BP128	BP157	BP180	BP184
BP185	BP189	BP190	BP196	BP211	BP212
BP216	BP217	BP221	BP236	BP244	. . .

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	CROSSREFS	`Adjacent-numbered pages: BP758 BP759 BP760 BP761 BP762 * BP764 BP765 BP766 BP767 BP768`
	KEYWORD	`meta (see left/right), links, metaconcept, primitive`
	CONCEPT	`This MBP is about BPs that feature concept: "texture"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

BP974

"Bounding-box-dependent" Bongard Problems vs. Bongard Problems in which the bounding box can be extended arbitrarily in any direction (in white space) without switching the sorting of any examples.

BP8	BP157	BP209	BP210	BP243	BP257
BP312	BP321	BP525	BP818	BP942	BP966
BP971	BP972	BP1008	BP1014	BP1089	BP1093
BP1104	BP1122	BP1132	BP1156	BP1245

?
BP2

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	COMMENTS	`Left examples have the keyword "boundingbox" on the OEBP.` `Slightly different: sliding the content in a box around without letting it cross the bounding box and without changing the size of the bounding box. (See keyword absoluteposition.)` `Expanding the boxes of BP2 ("big vs. small") makes the contents smaller in comparison to the box, but not smaller in an absolute sense. Hence the situation is ambiguous.`
	CROSSREFS	`If a Bongard Problem has the keyword absoluteposition, then it likely has the keyword boundingbox.` `If a Bongard Problem has the keyword boundingbox and does not have the keyword bordercontent, then it likely has the keyword absoluteposition.` `Adjacent-numbered pages: BP969 BP970 BP971 BP972 BP973 * BP975 BP976 BP977 BP978 BP979`
	KEYWORD	`meta (see left/right), links, keyword, invariance`
	AUTHOR	`Aaron David Fairbanks`

BP1112

"Stretch-dependent" Bongard Problems vs. Bongard Problems in which examples can be stretched (or compressed) along any axis without being sorted differently.

BP7	BP11	BP12	BP13	BP33	BP50
BP62	BP76	BP77	BP80	BP103	BP152
BP250	BP289	BP328	BP329	BP333	BP335
BP336	BP523	BP525	BP536	BP557	BP559
BP812	BP813	BP816	BP860	BP920	BP924
BP942	BP949	BP1011	BP1086	BP1145	. . .

BP1	BP5	BP15	BP31	BP45	BP98
BP157	BP240	BP322	BP327	BP330	BP331
BP332	BP348	BP363	BP367	BP368	BP369
BP389	BP809	BP810	BP851	BP853	BP911
BP966	BP977	BP992	BP1022	BP1094	BP1131
BP1135	BP1136

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	COMMENTS	`Left-sorted Bongard Problems have the keyword "stretch" on the OEBP.` `If applying a scaling along one particular axis to the whole of any example can change its sorting the BP fits on the left side here. (For BPs with bounding boxes this means scaling and cropping, but without cutting out any detail.)`
	CROSSREFS	`Adjacent-numbered pages: BP1107 BP1108 BP1109 BP1110 BP1111 * BP1113 BP1114 BP1115 BP1116 BP1117`
	KEYWORD	`meta (see left/right), links, keyword, invariance`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP1194

Bongard Problems listed in Harry E. Foundalis's collection vs. not.

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	. . .

	BP501	BP503	BP504	BP505	BP506	BP507
	BP508	BP509	BP510	BP1194

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	COMMENTS	`Alternatively, BP pages on the OEBP with number less than or equal to 394 vs. other BP pages.`
	REFERENCE	`https://www.foundalis.com/res/bps/bpidx.htm`
	CROSSREFS	`Adjacent-numbered pages: BP1189 BP1190 BP1191 BP1192 BP1193 * BP1195 BP1196 BP1197 BP1198 BP1199`
	EXAMPLE	`Foundalis's collection includes all Bongard Problems by Bongard.`
	KEYWORD	`meta (see left/right), links, right-self, time`
	AUTHOR	`Aaron David Fairbanks`

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