The On-Line Encyclopedia of Bongard Problems

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BP1069

Infinitely many branches vs. finitely many branches.

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	CROSSREFS	`Adjacent-numbered pages: BP1064 BP1065 BP1066 BP1067 BP1068 * BP1070 BP1071 BP1072 BP1073 BP1074`
	KEYWORD	`perfect, infinitedetail`
	CONCEPT	`finite_infinite (info \| search),` `fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`recursive_boxes [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1070

Dead end vs. no dead ends.

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

	CROSSREFS	`Adjacent-numbered pages: BP1065 BP1066 BP1067 BP1068 BP1069 * BP1071 BP1072 BP1073 BP1074 BP1075`
	KEYWORD	`perfect, infinitedetail`
	CONCEPT	`finite_infinite (info \| search),` `fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`recursive_boxes [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1071

Two of the same kind within in one region vs. not so.

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	CROSSREFS	`See BP977 for a version without infinite nesting and other drawings than boxes.` `Adjacent-numbered pages: BP1066 BP1067 BP1068 BP1069 BP1070 * BP1072 BP1073 BP1074 BP1075 BP1076`
	KEYWORD	`perfect, infinitedetail`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`recursive_boxes [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1072

Filled subsection is largest square that divides the grid vs. not so

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

	REFERENCE	`https://en.wikipedia.org/wiki/Greatest_common_divisor`
	CROSSREFS	`Any example in this BP is a left example of BP1057.` `Adjacent-numbered pages: BP1067 BP1068 BP1069 BP1070 BP1071 * BP1073 BP1074 BP1075 BP1076 BP1077`
	KEYWORD	`grid, left-listable, right-listable`
	CONCEPT	`division (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Jago Collins`

BP1073

Bongard Problems that would sort this Bongard Problem left vs. Bongard Problems that would sort this Bongard Problem right.

BP503	BP510	BP518	BP539	BP541	BP542
BP544	BP547	BP550	BP687	BP691	BP794
BP1000	BP1074	BP1242

BP509

BP519

BP895

BP902

BP1150

?
BP517

?
BP950

?
BP1073

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	COMMENTS	`This is the "it" Problem.` `Left-sorted Bongard Problems have the keyword "left-it" on the OEBP.` `Right-sorted Bongard Problems have the keyword "right-it" on the OEBP.`
	CROSSREFS	`Left-it or right-it implies feedback.` `Adjacent-numbered pages: BP1068 BP1069 BP1070 BP1071 BP1072 * BP1074 BP1075 BP1076 BP1077 BP1078`
	KEYWORD	`nice, meta (see left/right), links, keyword, side, metameta, feedback, time, experimental, funny, testexample, presentationinvariant`
	CONCEPT	`recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`linksbp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1074

Meta Bongard Problem in a chain of Problems containing other Problems that eventually loops back to itself vs. this cannot happen.

BP503	BP509	BP510	BP517	BP518	BP519
BP537	BP539	BP541	BP542	BP544	BP546
BP547	BP687	BP691	BP794	BP1000	BP1007
BP1073	BP1074

BP947

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	COMMENTS	`Left examples have the keyword "feedback" on the OEBP.`
	CROSSREFS	`"Feedback" implies not wellfounded.` `Left-it" or right-it implies "feedback".` `Adjacent-numbered pages: BP1069 BP1070 BP1071 BP1072 BP1073 * BP1075 BP1076 BP1077 BP1078 BP1079`
	KEYWORD	`arbitrary, meta (see left/right), links, keyword, left-self, metameta, left-it, feedback, experimental`
	CONCEPT	`recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`linksbp [smaller \| same \| bigger]`
	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`

BP1076

Meta Bongard Problems sorting BP1 left vs. meta Bongard Problems sorting BP1 right.

BP501	BP503	BP508	BP509	BP513	BP515
BP541	BP542	BP544	BP546	BP567	BP573
BP627	BP634	BP798	BP883	BP913	BP947
BP1075

	BP504	BP507	BP510	BP522	BP537	BP902
	BP963	BP1113

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

	CROSSREFS	`Adjacent-numbered pages: BP1071 BP1072 BP1073 BP1074 BP1075 * BP1077 BP1078 BP1079 BP1080 BP1081`
	KEYWORD	`meta (see left/right), links, metameta, testexample`
	WORLD	`linksbp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1077

All regions have the same number of boxes vs. not so.

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

	CROSSREFS	`Adjacent-numbered pages: BP1072 BP1073 BP1074 BP1075 BP1076 * BP1078 BP1079 BP1080 BP1081 BP1082`
	KEYWORD	`perfect, infinitedetail`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`recursive_boxes [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1078

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

BP1079

BP1081

BP1124

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	CROSSREFS	`Adjacent-numbered pages: BP1073 BP1074 BP1075 BP1076 BP1077 * BP1079 BP1080 BP1081 BP1082 BP1083`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "semidecidable"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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