The On-Line Encyclopedia of Bongard Problems

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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`

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`

BP827

Image of noisy Bongard Problem vs. image of Bongard Problem with minimal noise.

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	COMMENTS	`"Noise" is a property that changes between examples which is independent to the solution property.`
	CROSSREFS	`See BP511 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).` `See BP845 for noise in sequences of quantity increase.` `Adjacent-numbered pages: BP822 BP823 BP824 BP825 BP826 * BP828 BP829 BP830 BP831 BP832`
	KEYWORD	`nice, meta (see left/right), miniproblems, creativeexamples, presentationmatters, assumesfamiliarity, structure, contributepairs`
	WORLD	`boxes_bpimage_three_per_side [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP826

Hard Bongard Problems a person has been seen to solve without cheating vs. hard Bongard Problems no one is known to have solved yet without cheating.

BP394	BP564	BP793	BP813	BP825	BP849
BP904	BP927	BP934	BP955	BP957	BP1129
BP1130

BP559	BP796	BP801	BP860	BP871	BP872
BP875	BP876	BP877	BP878	BP944	BP954
BP998	BP1011	BP1038	BP1040	BP1120	BP1200
BP1245

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	COMMENTS	`Left examples have the keyword "solved" on the OEBP.` `Right examples have the keyword "challenge" on the OEBP.`
	CROSSREFS	`Adjacent-numbered pages: BP821 BP822 BP823 BP824 BP825 * BP827 BP828 BP829 BP830 BP831`
	KEYWORD	`meta (see left/right), links, keyword, time`
	AUTHOR	`Aaron David Fairbanks`

BP825

Ticks mark an infinite sequence of angles on circle such that each angle is the double of the subsequent angle in the sequence (angle measured from rightmost indicated point) vs. not so.

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	COMMENTS	`This is solvable; it was solved by Sridhar Ramesh.` `A full turn is considered "the same angle" as no turns; likewise for adding and subtracting full turns from any angle. All sequences of angles shown start at the rightmost tick.` `It doesn't matter whether the angle is measured clockwise or counterclockwise, as long as the choice is consistent.`
	CROSSREFS	`Adjacent-numbered pages: BP820 BP821 BP822 BP823 BP824 * BP826 BP827 BP828 BP829 BP830`
	KEYWORD	`hard, convoluted, notso, math, solved`
	CONCEPT	`sequence (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP824

Objects shown chosen from collection in an ordered, algorithmic way vs. random choices involved.

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	CROSSREFS	`Adjacent-numbered pages: BP819 BP820 BP821 BP822 BP823 * BP825 BP826 BP827 BP828 BP829`
	KEYWORD	`abstract`
	AUTHOR	`Aaron David Fairbanks`

BP823

Conic section (plot of solution to conic equation) vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP818 BP819 BP820 BP821 BP822 * BP824 BP825 BP826 BP827 BP828`
	KEYWORD	`notso, math, left-couldbe`
	AUTHOR	`Aaron David Fairbanks`

BP822

Two drawn polyhedra are duals vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP817 BP818 BP819 BP820 BP821 * BP823 BP824 BP825 BP826 BP827`
	KEYWORD	`math, 3d, unorderedpair`
	AUTHOR	`Aaron David Fairbanks`

BP821

Impossible Bongard Problems vs. possible Bongard Problems.

BP821

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	COMMENTS	`Bongard Problems sorted left have the keyword "impossible" on the OEBP.` `"Impossible Bongard Problem" is a loose term, but it roughly means the Bongard Problem solution idea can't be displayed as an image.` `BP868, the version of this whose examples are images of Bongard Problems (miniproblems), rather than links to pages on the OEBP, is impossible. - Aaron David Fairbanks, Jul 29 2020`
	CROSSREFS	`See overriddensolution for solutions that Bongard Problems can have, but that will not be chosen by a reasonable person as the best solution.` `Adjacent-numbered pages: BP816 BP817 BP818 BP819 BP820 * BP822 BP823 BP824 BP825 BP826`
	KEYWORD	`meta (see left/right), links, keyword, right-self`
	CONCEPT	`impossible (info \| search)`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP820

Shape can be combined with a copy of itself to form a convex shape vs. not so.

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	CROSSREFS	`For the generalization of this property, see BP991.` `Adjacent-numbered pages: BP815 BP816 BP817 BP818 BP819 * BP821 BP822 BP823 BP824 BP825`
	KEYWORD	`nice, precise, allsorted`
	CONCEPT	`tiling (info \| search)`
	WORLD	`fill_shape [smaller \| same \| bigger] zoom in left`
	AUTHOR	`Isaac Hathaway`

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