The On-Line Encyclopedia of Bongard Problems

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White is multiple of black vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP1046 BP1047 BP1048 BP1049 BP1050 * BP1052 BP1053 BP1054 BP1055 BP1056`
	KEYWORD	`precise, allsorted, preciseworld`
	CONCEPT	`ratio (info \| search)`
	WORLD	`outline_or_fill_circles_same_size [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP328

All sides are equal vs. all angles are equal.

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	CROSSREFS	`Adjacent-numbered pages: BP323 BP324 BP325 BP326 BP327 * BP329 BP330 BP331 BP332 BP333`
	KEYWORD	`nice, stretch, left-narrow, right-narrow, traditional, finishedexamples, both`
	CONCEPT	`angle (info \| search),` `length_line_or_curve (info \| search),` `same_feature (info \| search),` `same (info \| search)`
	WORLD	`polygon_outline [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP338

High approximate similarity vs. lower approximate similarity.

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	CROSSREFS	`Adjacent-numbered pages: BP333 BP334 BP335 BP336 BP337 * BP339 BP340 BP341 BP342 BP343`
	KEYWORD	`spectrum, traditional, continuous`
	CONCEPT	`imperfection_small (info \| search),` `same_shape (info \| search),` `same (info \| search),` `similar_shape (info \| search),` `similar (info \| search)`
	WORLD	`two_shapes [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP979

It is possible to deduce the contents of the missing square vs. not so.

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	COMMENTS	`All examples show grids of squares with an image in each square, such that there is some "rule" the images within the grid obey. The "rule" can be about how the images relate to their neighbors, it can involve the position of the images in the grid, and it can involve properties of the grid considered as a whole. One square from somewhere along the edge of the grid is removed.` `Intentionally left out of this Bongard Problem (or left as sorted ambiguously) are cases in which there is no clear rule, or it is not possible to deduce what the intended rule is without seeing more squares (e.g. EX8097). Due to this choice to omit those kinds of examples from the right, another acceptable solution is "it is possible to deduce the contents of the missing square once the underlying rule is understood vs. not so."`
	REFERENCE	`https://en.wikipedia.org/wiki/Raven%27s_Progressive_Matrices`
	CROSSREFS	`BP1258 is very similar: whether ALL squares can be deduced from the rest.` `Adjacent-numbered pages: BP974 BP975 BP976 BP977 BP978 * BP980 BP981 BP982 BP983 BP984`
	KEYWORD	`nice, notso, structure, rules, miniworlds`
	CONCEPT	`convey_enough_information (info \| search),` `choice (info \| search)`
	WORLD	`grid_of_images_with_rule_one_on_edge_missing [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`

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`

BP932

Every vertex is connected to every other vs. vertices are connected in a cycle (no other connections).

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	COMMENTS	`Complete graphs with zero, one, two, or three vertices would be ambiguously categorized (fit in overlap of both sides).` `Left examples are called "fully connected graphs." Right examples are called "cycle graphs."`
	CROSSREFS	`Adjacent-numbered pages: BP927 BP928 BP929 BP930 BP931 * BP933 BP934 BP935 BP936 BP937`
	KEYWORD	`precise, left-narrow, right-narrow, both, preciseworld`
	CONCEPT	`graph (info \| search),` `distinguishing_crossing_curves (info \| search),` `all (info \| search),` `loop (info \| search)`
	WORLD	`connected_graph [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP53

Inside figure has fewer angles than outside figure vs. inside figure has more angles than outside figure.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 231.`
	CROSSREFS	`Adjacent-numbered pages: BP48 BP49 BP50 BP51 BP52 * BP54 BP55 BP56 BP57 BP58`
	KEYWORD	`spectrum, finished, traditional, discrete, viceversa, bongard`
	CONCEPT	`inside (info \| search),` `number (info \| search),` `quantity_comparison (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

BP1275

There is a way of grouping elements into (more than one) equal-sized blocks such that no block appears twice vs. there exists no such grouping.

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	COMMENTS	`Sequences with a prime number of elements are sorted left when all their elements are unique, and sorted right otherwise.`
	CROSSREFS	`Adjacent-numbered pages: BP1270 BP1271 BP1272 BP1273 BP1274 * BP1276 BP1277 BP1278 BP1279 BP1280`
	EXAMPLE	`The sequence ABBABB would be sorted left, as it could be grouped into (AB)(BA)(BB), where each block is unique.`
	KEYWORD	`precise, unwordable, notso, sequence, miniworlds`
	CONCEPT	`element_grouping (info \| search)`
	AUTHOR	`Leo Crabbe`

BP202

Even number vs. odd number.

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	CROSSREFS	`See BP334 for a version of the same idea, but using dots instead of arbitrary shapes.` `Adjacent-numbered pages: BP197 BP198 BP199 BP200 BP201 * BP203 BP204 BP205 BP206 BP207`
	KEYWORD	`noisy, number, traditional`
	CONCEPT	`even_odd (info \| search)`
	AUTHOR	`Giuseppe Insana`

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