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	. . .

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

	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`

BP552

Orientation-dependent Bongard Problems vs. orientation-independent visual Bongard Problems.

BP7	BP8	BP16	BP36	BP43	BP54
BP55	BP63	BP67	BP106	BP109	BP199
BP207	BP234	BP278	BP279	BP286	BP313
BP337	BP363	BP372	BP793	BP795	BP796
BP805	BP830	BP881	BP896	BP931	BP955
BP961	BP971	BP972	BP1008	BP1014	. . .

	BP1	BP2	BP3	BP4	BP5	BP6
	BP986	BP1197	BP1199	BP1200

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

	COMMENTS	`Left examples have the keyword "handed" on the OEBP.` `If mirroring any example along the any axis can change its sorting the BP is "handed."` `Note that BPs about comparing orientation between multiple things in one example fit on the right side.`
	CROSSREFS	`See BP871 for the version with pictures of Bongard Problems (miniproblems) instead of links to pages on the OEBP.` `The keyword leftright is specifically about flipping over the vertical axis, while the keyword updown is specifically about flipping over the horizontal axis.` `Bongard Problems tagged rotate are usually "handed", since any rotation can be created by two reflections. Not necessarily, however, since the reflected step in between might not be sorted on either side by the Bongard Problem.` `Adjacent-numbered pages: BP547 BP548 BP549 BP550 BP551 * BP553 BP554 BP555 BP556 BP557`
	KEYWORD	`meta (see left/right), links, keyword, invariance, wellfounded`
	WORLD	`visualbp [smaller \| same \| bigger] zoom in left (handed_visualbp)`
	AUTHOR	`Aaron David Fairbanks`

BP650

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

	BP17	BP55	BP76	BP91	BP101	BP125
	BP129	BP175	BP181	BP231

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

	CROSSREFS	`Adjacent-numbered pages: BP645 BP646 BP647 BP648 BP649 * BP651 BP652 BP653 BP654 BP655`
	KEYWORD	`meta (see left/right), links, metaconcept, primitive`
	CONCEPT	`This MBP is about BPs that feature concept: "indentation"` `Searchable synonyms: "notch".`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

BP660

Bongard Problem with solution relating to concept: lying on (touching) a line or curve vs. Bongard Problem unrelated to this concept.

	BP44	BP55	BP66	BP69	BP91	BP104
	BP117	BP190	BP336

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

	CROSSREFS	`Adjacent-numbered pages: BP655 BP656 BP657 BP658 BP659 * BP661 BP662 BP663 BP664 BP665`
	KEYWORD	`meta (see left/right), links, metaconcept, primitive`
	CONCEPT	`This MBP is about BPs that feature concept: "on_line_or_curve"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

BP692

Bongard Problem with solution relating to concept: separation of objects joined together vs. Bongard Problem unrelated to this concept.

	BP20	BP44	BP55	BP88	BP90	BP91
	BP94	BP126	BP135	BP309

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

	CROSSREFS	`Adjacent-numbered pages: BP687 BP688 BP689 BP690 BP691 * BP693 BP694 BP695 BP696 BP697`
	KEYWORD	`meta (see left/right), links, metaconcept, primitive`
	CONCEPT	`This MBP is about BPs that feature concept: "separation_of_joined_objects"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

BP708

Bongard Problem with solution relating to concept: tracing along a line or curve vs. Bongard Problem unrelated to this concept.

BP16	BP43	BP52	BP55	BP67	BP68
BP69	BP70	BP72	BP74	BP102	BP105
BP115	BP120	BP179	BP180	BP198	BP208
BP278	BP336	BP340	BP341	BP350	BP351
BP352	BP353	BP354	BP355	BP356	BP357
BP363	BP365

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

	CROSSREFS	`Adjacent-numbered pages: BP703 BP704 BP705 BP706 BP707 * BP709 BP710 BP711 BP712 BP713`
	KEYWORD	`meta (see left/right), links, metaconcept, primitive`
	CONCEPT	`This MBP is about BPs that feature concept: "tracing_line_or_curve"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

BP736

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

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

	CROSSREFS	`Adjacent-numbered pages: BP731 BP732 BP733 BP734 BP735 * BP737 BP738 BP739 BP740 BP741`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "rotational_direction"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

BP798

Bongard Problems by Bongard vs. other Bongard Problems.

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	. . .

BP101	BP102	BP103	BP104	BP105	BP106
BP107	BP108	BP109	BP110	BP111	BP112
BP113	BP114	BP115	BP116	BP117	BP118
BP119	BP120	BP121	BP122	BP123	BP124
BP125	BP126	BP127	BP128	BP129	BP130
BP131	BP132	BP133	BP134	BP135	. . .

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

	COMMENTS	`Alternatively, BP pages on the OEBP with number less than or equal to 100 vs. other BP pages.` `Bongard's original Problems have the keyword "bongard" on the OEBP.`
	CROSSREFS	`Adjacent-numbered pages: BP793 BP794 BP795 BP796 BP797 * BP799 BP800 BP801 BP802 BP803`
	KEYWORD	`meta (see left/right), links, keyword`
	WORLD	`bppage [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP807

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

BP16	BP54	BP55	BP199	BP206	BP208
BP215	BP226	BP234	BP238	BP273	BP274
BP1087

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

	CROSSREFS	`Adjacent-numbered pages: BP802 BP803 BP804 BP805 BP806 * BP808 BP809 BP810 BP811 BP812`
	KEYWORD	`meta (see left/right), links, metaconcept, primitive`
	CONCEPT	`This MBP is about BPs that feature concept: "direction"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

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

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

	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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