The On-Line Encyclopedia of Bongard Problems

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Image of Bongard Problem such that reflecting over the dividing line leaves the solution invariant versus not so.

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	CROSSREFS	`Adjacent-numbered pages: BP797 BP798 BP799 BP800 BP801 * BP803 BP804 BP805 BP806 BP807`
	KEYWORD	`nice, meta (see left/right), miniproblems, creativeexamples, presentationmatters, assumesfamiliarity, structure`
	WORLD	`boxes_bpimage [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP828

Image of Bongard Problem with one simple solution vs. image of Bongard Problem with two "independent" simple solutions.

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	COMMENTS	`Properties are considered independent if none logically implies the other (or its opposite).` `Another way of putting it is that on the right, the most descriptive good solution is of the form "[property 1] AND [property 2] vs. neither".`
	CROSSREFS	`Adjacent-numbered pages: BP823 BP824 BP825 BP826 BP827 * BP829 BP830 BP831 BP832 BP833`
	KEYWORD	`nice, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure`
	CONCEPT	`exists_one (info \| search),` `two (info \| search)`
	WORLD	`boxes_bpimage_three_per_side [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP829

Image of a Bongard Problem with no simple solution versus image of a Bongard Problem with a simple solution.

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	COMMENTS	`Left examples have no solution, but they do not break the rules in ways so extreme that it is plainly impossible for them to have a solution, such as including the same image on both sides or including no images per side. (See such as including the same image on both sides or including no images per side.`
	CROSSREFS	`See BP522 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).` `See BP968 (flipped) for a version of this Bongard Problem including examples of invalid Bongard Problems that don't even admit a convoluted solution (the same image appears on both sides).` `Also see BP1080, which is similar to BP968, but including various different formats of Bongard Problems, distinguishing them from arbitrary images that are not Bongard Problems.` `Adjacent-numbered pages: BP824 BP825 BP826 BP827 BP828 * BP830 BP831 BP832 BP833 BP834`
	KEYWORD	`nice, meta (see left/right), miniproblems, creativeexamples, left-unknowable, right-narrow, assumesfamiliarity, structure, help, presentationinvariant`
	CONCEPT	`existence (info \| search),` `simplicity (info \| search),` `zero (info \| search)`
	WORLD	`boxes_bpimage_three_per_side_nosoln_allowed [smaller \| same \| bigger] zoom in right (boxes_bpimage_three_per_side)`
	AUTHOR	`Aaron David Fairbanks`

BP831

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`

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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	COMMENTS	`This fits on its own left side.`
	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`

BP952

Images of Bongard Problems about images of Bongard Problems about images of Bongard Problems vs. images of Bongard Problems not including images of Bongard Problems including images of Bongard Problems.

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	CROSSREFS	`See BP547 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).` `Any left example in this BP will be a left example for BP1084.` `Adjacent-numbered pages: BP947 BP948 BP949 BP950 BP951 * BP953 BP954 BP955 BP956 BP957`
	KEYWORD	`meta (see left/right), miniproblems, funny, presentationinvariant`
	CONCEPT	`recursion (info \| search)`
	WORLD	`[smaller \| same \| bigger] zoom in left`
	AUTHOR	`Leo Crabbe`

BP1084

Images of Bongard Problems about images of Bongard Problems vs. images of Bongard Problems not including images of Bongard Problems.

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	CROSSREFS	`See BP537 for the version with links to pages on the OEBP instead of images of Bongard Problems.` `Adjacent-numbered pages: BP1079 BP1080 BP1081 BP1082 BP1083 * BP1085 BP1086 BP1087 BP1088 BP1089`
	KEYWORD	`meta (see left/right), miniproblems, perfect, infinitedetail, presentationinvariant`
	WORLD	`boxes_bpimage [smaller \| same \| bigger] zoom in left`
	AUTHOR	`Leo Crabbe`

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