The On-Line Encyclopedia of Bongard Problems

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Polygon that can be achieved by folding a square once vs. other polygons.

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	COMMENTS	`Although it is tempting at first to make a version of this Bongard Problem with the solution "Shape can be achieved by folding a square a finite amount of times vs. other shapes", this alternate Bongard Problem would just amount to having the solution "Convex shape with straight edges vs. concave shape or convex shape with at least one curved edge."`
	CROSSREFS	`Adjacent-numbered pages: BP1140 BP1141 BP1142 BP1143 BP1144 * BP1146 BP1147 BP1148 BP1149 BP1150`
	KEYWORD	`precise, notso, stretch, left-narrow, finishedexamples, preciseworld`
	CONCEPT	`square (info \| search)`
	AUTHOR	`Leo Crabbe`

The vibration amplitude increases from left to right vs. the vibration amplitude decreases from left to right.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 228.`
	CROSSREFS	`Adjacent-numbered pages: BP38 BP39 BP40 BP41 BP42 * BP44 BP45 BP46 BP47 BP48`
	KEYWORD	`dual, handed, leftright, finished, traditional, viceversa, bongard`
	CONCEPT	`size_increase_decrease (info \| search),` `horizontal (info \| search),` `leftward_rightward (info \| search),` `regular_irregular_change (info \| search),` `tracing_line_or_curve (info \| search),` `wave (info \| search)`
	WORLD	`wave_horizontal_increase_or_decrease [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Line that connects dots avoiding obstacles is short vs. line that connects dots avoiding obstacles is long.

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	CROSSREFS	`Adjacent-numbered pages: BP171 BP172 BP173 BP174 BP175 * BP177 BP178 BP179 BP180 BP181`
	KEYWORD	`nice, spectrum, traditional, continuous`
	CONCEPT	`length_line_or_curve (info \| search),` `path (info \| search)`
	AUTHOR	`Harry E. Foundalis`

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`

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