The On-Line Encyclopedia of Bongard Problems

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BP343

No two shapes are the same vs. at least two shapes are the same.

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	CROSSREFS	`BP57 is the same solution except all examples have two shapes.` `Adjacent-numbered pages: BP338 BP339 BP340 BP341 BP342 * BP344 BP345 BP346 BP347 BP348`
	KEYWORD	`traditional, collection`
	CONCEPT	`existence (info \| search),` `identical (info \| search),` `same_shape (info \| search),` `same (info \| search),` `two (info \| search)`
	WORLD	`shapes [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP347

No pattern (variety of shapes) vs. all shapes have something in common.

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	CROSSREFS	`See BP378 for a similar idea using just two objects per example.` `Adjacent-numbered pages: BP342 BP343 BP344 BP345 BP346 * BP348 BP349 BP350 BP351 BP352`
	KEYWORD	`nice, left-unknowable, right-narrow, traditional, collection`
	CONCEPT	`existence (info \| search),` `shape_cluster (info \| search),` `cluster_of_one (info \| search),` `cluster (info \| search)`
	WORLD	`several_small_misc [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP349

One object does not belong to the pattern of the rest vs. all objects form one pattern.

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	COMMENTS	`The left examples are the right examples with one object altered, which makes the solution easier to see.` `"Odd one out."`
	CROSSREFS	`Adjacent-numbered pages: BP344 BP345 BP346 BP347 BP348 * BP350 BP351 BP352 BP353 BP354`
	KEYWORD	`anticomputer, help, contributepairs, traditional, rules, collection`
	CONCEPT	`categorization (info \| search),` `existence (info \| search),` `feature_cluster (info \| search),` `number_cluster (info \| search),` `shape_cluster (info \| search),` `cluster_of_one (info \| search),` `cluster (info \| search),` `one (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP379

Complete finite collection vs. incomplete finite collection.

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	COMMENTS	`Related to BP380 and BP792.`
	CROSSREFS	`Adjacent-numbered pages: BP374 BP375 BP376 BP377 BP378 * BP380 BP381 BP382 BP383 BP384`
	KEYWORD	`nice, abstract, traditional, rules, miniworlds, collection`
	CONCEPT	`completeness (info \| search)`
	WORLD	`collection_of_objects_same_type [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP380

The completed version of the collection indicated by the objects is finite vs. the completed version of the collection indicated by the objects is infinite.

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	COMMENTS	`Related to BP870 and BP792.` `An example with clusters of perfect numbers of dots would be sorted ambiguously, for the time being. Unfortunately the 3rd smallest perfect number is 496. - Leo Crabbe, Oct 18 2024`
	CROSSREFS	`Adjacent-numbered pages: BP375 BP376 BP377 BP378 BP379 * BP381 BP382 BP383 BP384 BP385`
	KEYWORD	`math, creativeexamples, traditional, rules, miniworlds, collection`
	CONCEPT	`finite_infinite (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP384

Square number of dots vs. non-square number of dots.

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	COMMENTS	`All examples in this Problem are a collection of dots.` `An equivalent solution is "Dots can be arranged into a square lattice whose convex hull is a square vs. not so". - Leo Crabbe, Aug 01 2020`
	CROSSREFS	`Adjacent-numbered pages: BP379 BP380 BP381 BP382 BP383 * BP385 BP386 BP387 BP388 BP389`
	EXAMPLE	`A single dot fits because 1 = 11.` `A pair of dots does not fit because there is no integer x such that 2 = xx.`
	KEYWORD	`nice, precise, allsorted, number, math, left-narrow, left-null, help, traditional, preciseworld, collection`
	CONCEPT	`square_number (info \| search)`
	WORLD	`dots [smaller \| same \| bigger]`
	AUTHOR	`Jago Collins`

BP792

Complete finite collection versus incomplete infinite collection.

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	COMMENTS	`Related to BP379 and BP380.` `EX10061 can ambiguously be taken to be self-referential as the set of left-hand examples (which would make the right hand solution only "incomplete sets") or the class of finite sets.`
	CROSSREFS	`Adjacent-numbered pages: BP787 BP788 BP789 BP790 BP791 * BP793 BP794 BP795 BP796 BP797`
	KEYWORD	`abstract, creativeexamples, rules, miniworlds, collection`
	CONCEPT	`completeness (info \| search),` `finite_infinite (info \| search)`
	WORLD	`collection_of_objects_same_type [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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