The On-Line Encyclopedia of Bongard Problems

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All regions have the same number of boxes vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP1072 BP1073 BP1074 BP1075 BP1076 * BP1078 BP1079 BP1080 BP1081 BP1082`
	KEYWORD	`perfect, infinitedetail`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`recursive_boxes [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Endpoints of curve have the same height vs. not so.

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	REFERENCE	`Solution idea seen here: https://justpuzzles.wordpress.com/2019/07/05/bongard-problem-36-2.`
	CROSSREFS	`Adjacent-numbered pages: BP1081 BP1082 BP1083 BP1084 BP1085 * BP1087 BP1088 BP1089 BP1090 BP1091`
	KEYWORD	`nice, rotate, stretch, left-narrow, traditional`
	CONCEPT	`same (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Teun Spaans`

More solid black circles vs. more outline circles.

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	COMMENTS	`All examples have at least two filled shapes and two outlines.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 223.`
	CROSSREFS	`Adjacent-numbered pages: BP23 BP24 BP25 BP26 BP27 * BP29 BP30 BP31 BP32 BP33`
	KEYWORD	`spectrum, finished, traditional, discrete, viceversa, bongard`
	CONCEPT	`and (info \| search),` `number (info \| search),` `outlined_filled (info \| search),` `cluster (info \| search),` `texture (info \| search),` `quantity_comparison (info \| search)`
	WORLD	`circle_eq-tri_small_some_outline_some_fill [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Prime number vs. composite number.

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	CROSSREFS	`Adjacent-numbered pages: BP248 BP249 BP250 BP251 BP252 * BP254 BP255 BP256 BP257 BP258`
	KEYWORD	`noisy, traditional`
	CONCEPT	`prime (info \| search),` `cluster (info \| search)`
	AUTHOR	`Andreas Gunnarsson`

Convex hull is a triangle vs. convex hull is a quadrilateral.

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	COMMENTS	`Note: Thickness of letters is to be disregarded. If the font is paid attention to, the solution does not work. - Aaron David Fairbanks, Dec 01 2021`
	CROSSREFS	`Adjacent-numbered pages: BP267 BP268 BP269 BP270 BP271 * BP273 BP274 BP275 BP276 BP277`
	CONCEPT	`convex_hull (info \| search),` `number (info \| search),` `triangle (info \| search)`
	WORLD	`arial_font_centered_connected_symbol [smaller \| same \| bigger]`
	AUTHOR	`Merse E. Gáspár`

Two parts black to one part white vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP1048 BP1049 BP1050 BP1051 BP1052 * BP1054 BP1055 BP1056 BP1057 BP1058`
	KEYWORD	`precise, allsorted, preciseworld`
	CONCEPT	`ratio (info \| search),` `one (info \| search),` `two (info \| search),` `three (info \| search)`
	WORLD	`outline_or_fill_circles_same_size [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

No cycle vs. a cycle exists.

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	CROSSREFS	`Adjacent-numbered pages: BP113 BP114 BP115 BP116 BP117 * BP119 BP120 BP121 BP122 BP123`
	KEYWORD	`traditional`
	CONCEPT	`arrow (info \| search),` `cyclic_path (info \| search),` `existence (info \| search),` `path (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

Taller than wide vs. wider than tall.

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	COMMENTS	`All examples in this Bongard Problem are oblong connected figures made up of some curves.` `Shapes as tall as they are wide would be ambiguous.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 216.`
	CROSSREFS	`Adjacent-numbered pages: BP2 BP3 BP4 BP5 BP6 * BP8 BP9 BP10 BP11 BP12`
	KEYWORD	`easy, nice, dual, handed, rotate, stretch, finished, traditional, bongard`
	CONCEPT	`horizontal (info \| search),` `line_slope (info \| search),` `vertical (info \| search),` `quantity_comparison (info \| search)`
	WORLD	`Multiple options: figure_made_of_curves [smaller \| same \| bigger], oblong_axis_aligned_figure_made_of_curves [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

No sequence is repeated twice in a row vs. some sequence is repeated twice in a row.

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	REFERENCE	`https://en.wikipedia.org/wiki/Square-free_word`
	CROSSREFS	`Adjacent-numbered pages: BP1192 BP1193 BP1194 BP1195 BP1196 * BP1198 BP1199 BP1200 BP1201 BP1202`
	KEYWORD	`precise, allsorted, notso, left-narrow, sequence, traditional, preciseworld, dithering, left-listable`
	CONCEPT	`two (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

At least one path is a cycle vs. no path is a cycle.

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	CROSSREFS	`Adjacent-numbered pages: BP311 BP312 BP313 BP314 BP315 * BP317 BP318 BP319 BP320 BP321`
	KEYWORD	`traditional`
	CONCEPT	`cyclic_path (info \| search),` `maze (info \| search),` `path (info \| search)`
	AUTHOR	`Jakub Štepo`

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