The On-Line Encyclopedia of Bongard Problems

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BP page intends to include all possible examples fitting left vs. other BP pages.

BP1	BP537	BP854	BP868	BP902	BP920
BP959	BP962	BP1056	BP1156	BP1219	BP1220
BP1263	BP1279

BP867

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	COMMENTS	`Left-sorted BPs have the keyword "left-full" on the OEBP.` `For meta-BPs about solution ideas, left-full only means the BP page hopes to include all fitting BP pages on the OEBP (as opposed to all possible Bongard Problems).` `As with applying the keywords left-finite and right-finite, deciding what should count as "different" examples depends on the Bongard Problem.` `Note this is not just BP574 (right-full) flipped.` `TODO: Maybe this should be changed into two keywords: one for non-meta-BPs and one for meta-BPs. - Aaron David Fairbanks, Feb 11 2021`
	CROSSREFS	`For non-meta BPs, left-full implies left-finite (at least until the OEBP implements a feature that allows algorithmic generation of infinite examples).` `Adjacent-numbered pages: BP568 BP569 BP570 BP571 BP572 * BP574 BP575 BP576 BP577 BP578`
	KEYWORD	`meta (see left/right), links, keyword`
	WORLD	`bppage [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP574

BP page intends to include all possible examples fitting right vs. other BP pages.

	BP544	BP854	BP953	BP959	BP962	BP1056
	BP1141	BP1219

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

	COMMENTS	`Left-sorted BPs have the keyword "right-full" on the OEBP.` `BPs are sorted based on how BP573 (left-full) would sort them were they flipped; see that page for a description.`
	CROSSREFS	`For non-meta BPs, right-full implies right-finite (at least until the OEBP implements a feature that allows algorithmic generation of infinite examples).` `Adjacent-numbered pages: BP569 BP570 BP571 BP572 BP573 * BP575 BP576 BP577 BP578 BP579`
	KEYWORD	`meta (see left/right), links, keyword`
	WORLD	`bppage [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP575

Non-number-based Bongard Problems vs. Bongard Problems whose solutions only depend on counting the number of something.

BP6	BP10	BP23	BP85	BP86	BP87
BP88	BP89	BP90	BP91	BP96	BP98
BP107	BP110	BP150	BP202	BP203	BP204
BP232	BP277	BP334	BP384	BP569	BP889
BP915	BP945	BP966	BP988	BP989	BP1226

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	COMMENTS	`Right examples have the keyword "number" on the OEBP. The solution must only depend on counting the number of something: no comparison between numbers of different things.` `When a "number" Bongard Problem sorts numbers unambiguously (keyword precise), the left side and the right side define disjoint sets of numbers. When a "number" Bongard Problem sorts all numbers (keyword allsorted), the subsets are complements of one another.` `Many but not all right examples require nontrivial mathematical knowledge to solve (keyword math).`
	CROSSREFS	`BP200 is a version of this with sides flipped, sorting pictures of Bongard Problems (miniproblems) instead of links to pages on the OEBP, and with emphasis on feature-based solutions as an alternative to number-based solutions.` `Adjacent-numbered pages: BP570 BP571 BP572 BP573 BP574 * BP576 BP577 BP578 BP579 BP580`
	KEYWORD	`meta (see left/right), links, keyword, dependence`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP576

Vertices may be partitioned into two sets such that no two vertices in the same set are connected versus not so.

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

	COMMENTS	`Left examples are called "bipartite graphs."`
	CROSSREFS	`Adjacent-numbered pages: BP571 BP572 BP573 BP574 BP575 * BP577 BP578 BP579 BP580 BP581`
	KEYWORD	`precise, allsorted, notso, math, traditional, preciseworld`
	CONCEPT	`graph (info \| search),` `distinguishing_crossing_curves (info \| search)`
	WORLD	`graph [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP577

Concept MBPs about "primitive" concepts vs. concept MBPs about "composite" concepts.

BP580	BP581	BP585	BP587	BP588	BP589
BP592	BP593	BP595	BP596	BP600	BP603
BP604	BP606	BP608	BP609	BP610	BP613
BP615	BP616	BP617	BP621	BP622	BP623
BP626	BP627	BP629	BP634	BP637	BP639
BP641	BP650	BP651	BP652	BP653	. . .

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	COMMENTS	`This is the keyword "primitive" on the OEBP.` `These concepts are primitive to visual cognition.`
	CROSSREFS	`Adjacent-numbered pages: BP572 BP573 BP574 BP575 BP576 * BP578 BP579 BP580 BP581 BP582`
	KEYWORD	`meta (see left/right), links, keyword, metameta`
	WORLD	`metaconcept [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

BP578

Bongard Problem with solution relating to concept: above / below vs. Bongard Problem unrelated to this concept.

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

	CROSSREFS	`Adjacent-numbered pages: BP573 BP574 BP575 BP576 BP577 * BP579 BP580 BP581 BP582 BP583`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "above_below"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

BP579

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

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

	CROSSREFS	`Adjacent-numbered pages: BP574 BP575 BP576 BP577 BP578 * BP580 BP581 BP582 BP583 BP584`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "acute"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

BP580

Bongard Problem with solution relating to concept: absence seen as presence vs. Bongard Problem unrelated to this concept.

BP121

BP193

BP297

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

	CROSSREFS	`Adjacent-numbered pages: BP575 BP576 BP577 BP578 BP579 * BP581 BP582 BP583 BP584 BP585`
	KEYWORD	`meta (see left/right), links, metaconcept, primitive`
	CONCEPT	`This MBP is about BPs that feature concept: "absence_as_presence"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

BP581

Bongard Problem with solution relating to concept: absolute location in the box vs. Bongard Problem unrelated to this concept.

BP8

BP109

BP207

BP298

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

	CROSSREFS	`Adjacent-numbered pages: BP576 BP577 BP578 BP579 BP580 * BP582 BP583 BP584 BP585 BP586`
	KEYWORD	`meta (see left/right), links, metaconcept, primitive`
	CONCEPT	`This MBP is about BPs that feature concept: "absolute_position"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

BP582

Bongard Problem with solution relating to concept: addition (arithmetic) vs. Bongard Problem unrelated to this concept.

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

	CROSSREFS	`Adjacent-numbered pages: BP577 BP578 BP579 BP580 BP581 * BP583 BP584 BP585 BP586 BP587`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "addition"` `Searchable synonyms: "sum", "plus".`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

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