The On-Line Encyclopedia of Bongard Problems

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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 "part of" left pattern (proper subset) vs. right pattern is not subset of left pattern.

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	COMMENTS	`No one object is included on both sides of a dividing line in any example. Left examples when seen as Bongard Problems may either read as "not [right pattern] vs. [right pattern]" or have no unconvoluted solution at all, depending on whether the left side includes any objects that would fit in with the right side.`
	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`

BP893

As one quantity increases an equally obvious opposite quantity decreases vs. there is only one obvious quantity, which increases as the sequence progresses right.

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	COMMENTS	`Another way of phrasing the solution: "Neither direction would more naturally be called increase in quantity vs. rightward progression would be called an increase."` `Most right examples shown are unboundedly increasing, since finite sequences showing a quantity increasing usually also suggest "distance to end of sequence" as a decreasing opposite quantity. Even so, there are some finite sequences with one direction more intuitively increase-like than the other.`
	CROSSREFS	`Adjacent-numbered pages: BP888 BP889 BP890 BP891 BP892 * BP894 BP895 BP896 BP897 BP898`
	KEYWORD	`creativeexamples, structure, rules`
	WORLD	`constant_change_seq_increase_right [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.` `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`

BP917

Reversible transformations vs. non-reversible transformations.

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	COMMENTS	`All examples depict a process that transforms one object into another (two example input-output pairs are provided in every panel). In left-sorted examples, each input corresponds to a unique output, whereas in right-sorted examples, different inputs could potentially lead to the same output. There is a sense in which all the processes described on the right "lose" some amount of the input's information.`
	REFERENCE	`https://en.wikipedia.org/wiki/Injective_function`
	CROSSREFS	`Adjacent-numbered pages: BP912 BP913 BP914 BP915 BP916 * BP918 BP919 BP920 BP921 BP922`
	KEYWORD	`nice, abstract, creativeexamples, structure, rules, miniworlds`
	CONCEPT	`convey_enough_information (info \| search),` `function (info \| search)`
	AUTHOR	`Leo Crabbe`

BP946

Can be constructed using 2 identical copies of an image (full overlapping not allowed) vs. not so.

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	COMMENTS	`"Full overlapping not allowed" means you cannot overlay an image onto itself without moving it; if this were allowed all images would be sorted on the left. The copies can be moved around (translated) in 2D but can not be flipped or rotated.` `There are examples on the right drawn with thick lines, and these could be created by copying an image with slightly thinner lines and moving it over a tiny amount. If you fix this issue by saying "the copy has to be moved over more than a tiny amount" then the Bongard Problem is perfect but not precise, but if you fix this issue by saying "interpret the figures as made up of (infinitesimally) thin lines" then it's precise but not perfect. - Aaron David Fairbanks, Jun 17 2023`
	CROSSREFS	`Adjacent-numbered pages: BP941 BP942 BP943 BP944 BP945 * BP947 BP948 BP949 BP950 BP951`
	KEYWORD	`nice, notso, creativeexamples`
	AUTHOR	`Leo Crabbe`

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	`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.

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

	CROSSREFS	`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`

BP977

Two of the same object are enclosed in the same space (there is a path between them) vs. not so.

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	COMMENTS	`An "object" is everything within some black boundary.`
	CROSSREFS	`See BP1071 for a version with only squares and with infinite nesting allowed.` `Adjacent-numbered pages: BP972 BP973 BP974 BP975 BP976 * BP978 BP979 BP980 BP981 BP982`
	KEYWORD	`nice, precise, allsorted, creativeexamples, traditional`
	CONCEPT	`separated_regions (info \| search),` `identical (info \| search),` `recursion (info \| search),` `imagined_line_or_curve (info \| search),` `same_shape (info \| search),` `same (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

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