The On-Line Encyclopedia of Bongard Problems

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Image of a Bongard Problem with left side having two rules and right side narrowing it down vs. image of Bongard Problem whose right hand side adds no information.

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	COMMENTS	`Right examples are Bongard Problems in which the left hand side is enough to communicate the full answer.` `No examples shown have right side with multiple rules and left side narrowing down the answer.`
	CROSSREFS	`Adjacent-numbered pages: BP826 BP827 BP828 BP829 BP830 * BP832 BP833 BP834 BP835 BP836`
	KEYWORD	`hard, meta (see left/right), miniproblems, creativeexamples, presentationmatters, assumesfamiliarity, structure, contributepairs`
	WORLD	`boxes_bpimage_three_per_side [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP832

Image of a Bongard Problem with solution presence of a specific object vs. image of a Bongard Problem with solution presence of a type of object.

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	COMMENTS	`"Specific object" we mean the same connected figure (up to movement around the box). It is ambiguous whether a scaled, rotated, or reflected version of an object would be considered "the same object" because no examples on either side are forced to deal with that subtlety in their respective solutions.`
	CROSSREFS	`Adjacent-numbered pages: BP827 BP828 BP829 BP830 BP831 * BP833 BP834 BP835 BP836 BP837`
	KEYWORD	`meta (see left/right), miniproblems, assumesfamiliarity, structure, presentationinvariant`
	CONCEPT	`existence (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP833

Image of a Bongard Problem with (left) solution property that can have multiplicity vs. not so.

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	COMMENTS	`All examples are "object present vs. object absent" Problems.`
	CROSSREFS	`Adjacent-numbered pages: BP828 BP829 BP830 BP831 BP832 * BP834 BP835 BP836 BP837 BP838`
	KEYWORD	`abstract, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant`
	CONCEPT	`existence (info \| search),` `number (info \| search),` `one (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP834

Image of a Bongard Problem such that (removal of) the bottom left box modifies the solution (and no other does) vs. no box changes the solution.

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	COMMENTS	`When removal of a box changes the solution, it cannot remove the old solution; it can only allow more possible new solutions. Conversely, adding boxes can only narrow down between existing solutions.`
	CROSSREFS	`Adjacent-numbered pages: BP829 BP830 BP831 BP832 BP833 * BP835 BP836 BP837 BP838 BP839`
	KEYWORD	`meta (see left/right), miniproblems, creativeexamples, presentationmatters, assumesfamiliarity, structure`
	WORLD	`boxes_bpimage_three_per_side [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP835

Image of a Bongard Problem with solution about tiling vs. not so.

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	COMMENTS	`"Tiling" is placing shapes next to each other without overlap to fill up space or other shapes.`
	CROSSREFS	`See BP706 for the version with links to pages on the OEBP instead of images of Bongard Problems.` `Adjacent-numbered pages: BP830 BP831 BP832 BP833 BP834 * BP836 BP837 BP838 BP839 BP840`
	KEYWORD	`meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant`
	CONCEPT	`tiling (info \| search)`
	WORLD	`boxes_bpimage_three_per_side [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP836

Image of a Bongard Problem with solution about a geometrical symmetry (invariance under spatial transformation) vs. not so.

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	COMMENTS	`Every Bongard Problem on the left shows invariance under some transformation in left sub-examples.` `Some Bongard Problems on the right are symmetrical or have sub-examples that are symmetrical.`
	CROSSREFS	`See BP760 for the version with links to pages on the OEBP instead of images of Bongard Problems.` `Adjacent-numbered pages: BP831 BP832 BP833 BP834 BP835 * BP837 BP838 BP839 BP840 BP841`
	KEYWORD	`meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant`
	CONCEPT	`symmetry (info \| search)`
	WORLD	`boxes_bpimage_three_per_side [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP868

Images of impossible Bongard Problems vs. images of possible Bongard Problems.

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	CROSSREFS	`See BP821 for the version with links to pages on the OEBP (instead of images of Bongard Problems), of which this fits on the left side.` `Adjacent-numbered pages: BP863 BP864 BP865 BP866 BP867 * BP869 BP870 BP871 BP872 BP873`
	KEYWORD	`notso, meta (see left/right), miniproblems, example, left-finite, left-full, impossible, experimental, funny, presentationinvariant`
	CONCEPT	`impossible (info \| search)`
	WORLD	`bpimage [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP871

A reflection can switch an object's sorting vs. not so.

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	COMMENTS	`In particular, horizontal reflections work in all left examples.` `An image of this Bongard Problem would fit on the left.`
	CROSSREFS	`See BP552 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).` `Adjacent-numbered pages: BP866 BP867 BP868 BP869 BP870 * BP872 BP873 BP874 BP875 BP876`
	KEYWORD	`hard, abstract, challenge, meta (see left/right), miniproblems, creativeexamples, presentationmatters, infodense, assumesfamiliarity, structure`
	WORLD	`bpimage_shapes [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP872

A rotation can switch an object's sorting vs. not so.

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

	CROSSREFS	`See BP553 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).` `Adjacent-numbered pages: BP867 BP868 BP869 BP870 BP871 * BP873 BP874 BP875 BP876 BP877`
	KEYWORD	`hard, challenge, meta (see left/right), miniproblems, creativeexamples, presentationmatters, assumesfamiliarity, structure`
	WORLD	`bpimage_shapes [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP873

Solution involves discrete quantity vs. solution involves continuous quantity.

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	CROSSREFS	`All examples in this Bongard Problem fit left in BP874.` `See BP351 for the version with sequences of constant change instead of Bongard Problems.` `See BP1152 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).` `Adjacent-numbered pages: BP868 BP869 BP870 BP871 BP872 * BP874 BP875 BP876 BP877 BP878`
	KEYWORD	`meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant`
	CONCEPT	`discrete_continuous (info \| search)`
	WORLD	`bpimage_shapes_quantity_soln [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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