The On-Line Encyclopedia of Bongard Problems

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BP878

Some object(s) fit precisely between the sides vs. there is no object fitting between the sides.

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	COMMENTS	`"Allsorted" Bongard Problems (BP875^left) always fit as right examples.` `Left examples are never "allsorted".`
	CROSSREFS	`Adjacent-numbered pages: BP873 BP874 BP875 BP876 BP877 * BP879 BP880 BP881 BP882 BP883`
	KEYWORD	`hard, challenge, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant`
	WORLD	`bpimage_shapes_exact_sort [smaller \| same \| bigger] zoom in left \| zoom in right (bpimage_shapes_exact_sort_no_midway)`
	AUTHOR	`Aaron David Fairbanks`

BP879

Solution involves one absolute quantity vs. solution involves relative quantity (comparing two quantities).

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	CROSSREFS	`Adjacent-numbered pages: BP874 BP875 BP876 BP877 BP878 * BP880 BP881 BP882 BP883 BP884`
	KEYWORD	`abstract, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant`
	WORLD	`bpimage_shapes_quantity_soln [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP880

Non-overlapping sides (patterns are disjoint) vs. possible object(s) could fit in overlap of sides (patterns intersect).

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	COMMENTS	`"Allsorted" Bongard Problems (BP875^left) always fit on the left.`
	CROSSREFS	`Adjacent-numbered pages: BP875 BP876 BP877 BP878 BP879 * BP881 BP882 BP883 BP884 BP885`
	KEYWORD	`abstract, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant`
	WORLD	`bpimage_shapes [smaller \| same \| bigger] zoom in left`
	AUTHOR	`Aaron David Fairbanks`

BP881

Right pattern is proper subset of left pattern vs. right pattern is not subset of left pattern.

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	COMMENTS	`You can try to interpret these images as Bongard Problems. This works just when the left side includes no objects that would fit in with the right side (as in EX7357 but not EX7361), the solution is "not [right pattern] vs. [right pattern]"; otherwise there is no apparent solution.` `The solvable Bongard Problems sorted left here are right-narrow and not left-narrow, with the left side the negation of the right side (see notso).`
	CROSSREFS	`Adjacent-numbered pages: BP876 BP877 BP878 BP879 BP880 * BP882 BP883 BP884 BP885 BP886`
	KEYWORD	`abstract, handed, leftright, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant`
	WORLD	`bpimage_shapes_nosoln_allowed [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP894

Examples fit solution (once it is known) relatively obviously vs. examples fit solution in subtle or complex, harder-to-see ways.

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	COMMENTS	`One left and one right example with each solution are shown for help.` `This BP is fuzzy for multiple reasons. How obvious it is that an example fits a rule is subjective. Also, somebody could read the simplicity of all included examples as part of a Bongard Problem's solution. For example, the more obvious version of "square number of dots vs. non-square number of dots" could be interpreted as "square small number of dots arranged in easy-to-read way vs. non-square small number of dots arranged in easy-to-read way."` `Whether this Bongard Problem solution would categorize an image of itself left or right depends on the difficulty of the solutions of the mini-Problems.`
	CROSSREFS	`See keyword help.` `See keyword hardsort.` `Adjacent-numbered pages: BP889 BP890 BP891 BP892 BP893 * BP895 BP896 BP897 BP898 BP899`
	KEYWORD	`fuzzy, abstract, notso, subjective, meta (see left/right), miniproblems, creativeexamples, presentationmatters, assumesfamiliarity, structure, contributepairs`
	WORLD	`boxes_bpimage_three_per_side [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP955

Images of Bongard Problems that sort an image of their left side on their left and an image of their right side on their left vs. images of Bongard Problems that sort an image of their left side on their right and an image of their right side on their right.

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	CROSSREFS	`See also BP957 for the other two evident possibilities.` `Adjacent-numbered pages: BP950 BP951 BP952 BP953 BP954 * BP956 BP957 BP958 BP959 BP960`
	KEYWORD	`abstract, dual, handed, leftright, solved, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, experimental`
	CONCEPT	`self-reference (info \| search)`
	WORLD	`oblong_boxes_bpimage_sorts_both_sides_skewed [smaller \| same \| bigger] zoom in left (oblong_boxes_bpimage_sorts_both_sides_left) \| zoom in right (oblong_boxes_bpimage_sorts_both_sides_right)`
	AUTHOR	`Leo Crabbe`

BP957

Images of Bongard Problems that sort an image of their left side on their left and an image of their right side on their right vs. images of Bongard Problems that sort an image of their left side on their right and an image of their right side on their left.

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	CROSSREFS	`See also BP955 for the other two evident possibilities.` `Adjacent-numbered pages: BP952 BP953 BP954 BP955 BP956 * BP958 BP959 BP960 BP961 BP962`
	KEYWORD	`nice, abstract, solved, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, experimental`
	CONCEPT	`self-reference (info \| search)`
	WORLD	`oblong_panels_bpimage_sorts_both_sides_balanced [smaller \| same \| bigger] zoom in left (oblong_panels_bpimage_sorts_both_sides_stay) \| zoom in right (oblong_panels_bpimage_sorts_both_sides_swap)`
	AUTHOR	`Leo Crabbe`

BP987

Solution could appear in a Bongard Problem featuring an image of itself on either of its sides vs. solution can appear in a Bongard Problem featuring an image of itself on a certain side only.

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	COMMENTS	`All examples are Bongard Problems fitting left in BP954.` `This is very close to BP927, specialized to Bongard Problems fitting left in BP954. The difference is that a Bongard Problem solution would fit left in BP927 but right here if it can sort images of it on both sides, but it is impossible to make an image of it fractally including itself on a certain side. An example is EX7997.` `Meta Bongard Problems appearing in BP793 that are presentationinvariant necessarily fit right here.`
	CROSSREFS	`Adjacent-numbered pages: BP982 BP983 BP984 BP985 BP986 * BP988 BP989 BP990 BP991 BP992`
	KEYWORD	`abstract, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant, visualimagination`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	AUTHOR	`Leo Crabbe`

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