The On-Line Encyclopedia of Bongard Problems

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No two shapes are the same vs. at least two shapes are the same.

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	CROSSREFS	`BP57 is the same solution except all examples have two shapes.` `Adjacent-numbered pages: BP338 BP339 BP340 BP341 BP342 * BP344 BP345 BP346 BP347 BP348`
	KEYWORD	`traditional, collection`
	CONCEPT	`existence (info \| search),` `identical (info \| search),` `same_shape (info \| search),` `same (info \| search),` `two (info \| search)`
	WORLD	`shapes [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Can be hand-written without raising the pen vs. cannot be hand-written without raising the pen.

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	CROSSREFS	`Adjacent-numbered pages: BP266 BP267 BP268 BP269 BP270 * BP272 BP273 BP274 BP275 BP276`
	CONCEPT	`write_in_single_stroke (info \| search)`
	WORLD	`arial_font_centered_symbol [smaller \| same \| bigger]`
	AUTHOR	`Merse E. Gáspár`

Straight lines that join filled and outlined circles intersect vs. straight lines that join filled and outlined circles do not intersect.

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	CROSSREFS	`Adjacent-numbered pages: BP256 BP257 BP258 BP259 BP260 * BP262 BP263 BP264 BP265 BP266`
	KEYWORD	`noisy, traditional`
	CONCEPT	`lines_coincide (info \| search),` `x-crossing (info \| search),` `outlined_filled (info \| search),` `feature_cluster (info \| search),` `cluster (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `texture (info \| search)`
	AUTHOR	`Michael Ihde`

Two clusters of different numbers of elements vs. two clusters of equal number of elements.

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	CROSSREFS	`Adjacent-numbered pages: BP164 BP165 BP166 BP167 BP168 * BP170 BP171 BP172 BP173 BP174`
	KEYWORD	`traditional`
	CONCEPT	`number (info \| search),` `feature_cluster (info \| search),` `cluster_of_one (info \| search),` `cluster (info \| search),` `same_number (info \| search),` `same (info \| search),` `two (info \| search)`
	AUTHOR	`Harry E. Foundalis`

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`

The leftmost two angles measured from thin line add to the rightmost versus no two angles add to a third.

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	COMMENTS	`This answer is independent of whether angles are measured clockwise or counter-clockwise; only a consistent choice must be made.`
	CROSSREFS	`Adjacent-numbered pages: BP786 BP787 BP788 BP789 BP790 * BP792 BP793 BP794 BP795 BP796`
	KEYWORD	`math, structure, orderedtriplet, traditional`
	CONCEPT	`addition (info \| search),` `2_inputs_1_output (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

The axis of the hole is parallel to the figure axis vs. the axis of the hole is perpendicular to the figure axis.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 225.`
	CROSSREFS	`Adjacent-numbered pages: BP30 BP31 BP32 BP33 BP34 * BP36 BP37 BP38 BP39 BP40`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`hole (info \| search),` `line_slope (info \| search),` `same (info \| search),` `texture (info \| search),` `parallel (info \| search),` `perpendicular (info \| search)`
	WORLD	`elongated_shape_one_small_elongated_centered_hole [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

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