The On-Line Encyclopedia of Bongard Problems

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"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

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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`

BP976

Bongard Problems that use color in their examples vs. black and white Bongard Problems.

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	COMMENTS	`Left examples have the keyword "color" on the OEBP.`
	CROSSREFS	`Adjacent-numbered pages: BP971 BP972 BP973 BP974 BP975 * BP977 BP978 BP979 BP980 BP981`
	KEYWORD	`meta (see left/right), links, keyword, wellfounded`
	WORLD	`visualbp [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP978

Bongard Problems in which all examples have a high amount of information that a person must unpack in order to sort them vs. Bongard Problems in which all examples have a low amount of information that a person must unpack in order to sort them.

BP3

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	COMMENTS	`Left examples have the keyword "infodense" on the OEBP.` `Consider the amount of data a person has to consciously unpack in each example in the process of determining how it should be sorted. In BP3, it is only necessary to notice the color of the shape. In BP871, however, it is important to read various qualities of every tiny shape shown.` `Images of Bongard Problems that are "infodense" typically need to include a large number of examples in order to communicate the solution clearly without admitting unintended solutions. With so much data packed in each example, it becomes more likely that some of the random patterns in the data will happen to distinguish between the two sides in an unintended way. A similar issue appears in convoluted Bongard Problems.` `Contrast "infodense" Problems to hardsort Bongard Problems, in which examples are difficult to sort, but perhaps that difficulty does not stem from reading a high amount of information; perhaps there is a small amount of information extracted from the examples, but it is hard to determine whether or not that information fits a rule.`
	CROSSREFS	`Adjacent-numbered pages: BP973 BP974 BP975 BP976 BP977 * BP979 BP980 BP981 BP982 BP983`
	KEYWORD	`abstract, spectrum, meta (see left/right), links, keyword`
	AUTHOR	`Aaron David Fairbanks`

BP980

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

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	CROSSREFS	`Adjacent-numbered pages: BP975 BP976 BP977 BP978 BP979 * BP981 BP982 BP983 BP984 BP985`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "choice"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP982

Bongard Problem with solution relating to concept: most extreme thing in some way out of multiple things vs. Bongard Problem unrelated to this concept.

BP969

BP970

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	CROSSREFS	`Adjacent-numbered pages: BP977 BP978 BP979 BP980 BP981 * BP983 BP984 BP985 BP986 BP987`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "most"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP983

Bongard Problem with solution relating to concept: comparison of multiple quantities (within one example) vs. Bongard Problem unrelated to this concept.

BP7	BP27	BP28	BP29	BP36	BP37
BP38	BP53	BP969	BP970	BP1208	BP1214
BP1217

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	COMMENTS	`"More," "fewer," "greater than," "less than."` `See BP752 and BP749 for equality.`
	CROSSREFS	`Adjacent-numbered pages: BP978 BP979 BP980 BP981 BP982 * BP984 BP985 BP986 BP987 BP988`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "quantity_comparison"` `Searchable synonyms: "more", "less", "greater", "lesser", "greater than", "less than", "fewer".`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP984

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

	BP35	BP39	BP72	BP73	BP101	BP165
	BP239	BP248	BP255

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	CROSSREFS	`Adjacent-numbered pages: BP979 BP980 BP981 BP982 BP983 * BP985 BP986 BP987 BP988 BP989`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "parallel"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP985

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

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	CROSSREFS	`Adjacent-numbered pages: BP980 BP981 BP982 BP983 BP984 * BP986 BP987 BP988 BP989 BP990`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "perpendicular"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP987

Solution could appear in a Bongard Problem featuring an image of itself on either of its sides vs. solution can appear in a Bongard Problem featuring an image of itself on a certain side only.

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	COMMENTS	`All examples are Bongard Problems fitting left in BP954.` `This is very close to BP927, specialized to Bongard Problems fitting left in BP954. The difference is that a Bongard Problem solution would fit left in BP927 but right here if it can sort images of it on both sides, but it is impossible to make an image of it fractally including itself on a certain side. An example is EX7997.` `Meta Bongard Problems appearing in BP793 that are presentationinvariant necessarily fit right here.`
	CROSSREFS	`Adjacent-numbered pages: BP982 BP983 BP984 BP985 BP986 * BP988 BP989 BP990 BP991 BP992`
	KEYWORD	`abstract, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant, visualimagination`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	AUTHOR	`Leo Crabbe`

BP995

Animated visual Bongard Problems vs. static visual Bongard Problems.

BP300

BP1163

BP357

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	COMMENTS	`Left examples have the keyword "animated" on the OEBP.`
	CROSSREFS	`Adjacent-numbered pages: BP990 BP991 BP992 BP993 BP994 * BP996 BP997 BP998 BP999 BP1000`
	KEYWORD	`meta (see left/right), links, keyword, wellfounded`
	WORLD	`visualbp [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

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