The On-Line Encyclopedia of Bongard Problems

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The left part has more pixels (area) than the right part vs. the left part has fewer pixels than the right part.

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	CROSSREFS	`Adjacent-numbered pages: BP274 BP275 BP276 BP277 BP278 * BP280 BP281 BP282 BP283 BP284`
	KEYWORD	`dual, handed, leftright, pixelperfect`
	CONCEPT	`left_right (info \| search),` `length_line_or_curve (info \| search),` `area (info \| search)`
	WORLD	`arial_font_two_symbols [smaller \| same \| bigger]`
	AUTHOR	`Merse E. Gáspár`

No small square at the end of any curve vs. curve ends at a small square.

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	CROSSREFS	`Adjacent-numbered pages: BP216 BP217 BP218 BP219 BP220 * BP222 BP223 BP224 BP225 BP226`
	KEYWORD	`less, traditional`
	CONCEPT	`existence (info \| search),` `curve_texture (info \| search),` `texture (info \| search)`
	AUTHOR	`Giuseppe Insana`

Left shapes can be placed on top of each other to make right shape vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP319 BP320 BP321 BP322 BP323 * BP325 BP326 BP327 BP328 BP329`
	KEYWORD	`precise, unstable, perfect, pixelperfect, structure, orderedtriplet, traditional`
	CONCEPT	`set_union (info \| search),` `same_shape (info \| search),` `same (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Line segments linking same-coloured dots would intersect vs. not so.

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	CROSSREFS	`This is a less noisy version of BP261.` `Adjacent-numbered pages: BP1012 BP1013 BP1014 BP1015 BP1016 * BP1018 BP1019 BP1020 BP1021 BP1022`
	KEYWORD	`easy, nice, precise, allsorted, perfect, traditional, finishedexamples, preciseworld`
	CONCEPT	`lines_coincide (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `overlap (info \| search)`
	AUTHOR	`Leo Crabbe`

Two clusters vs. three clusters.

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	CROSSREFS	`Adjacent-numbered pages: BP161 BP162 BP163 BP164 BP165 * BP167 BP168 BP169 BP170 BP171`
	KEYWORD	`traditional`
	CONCEPT	`number (info \| search),` `dot (info \| search),` `feature_cluster (info \| search),` `cluster_of_one (info \| search),` `cluster (info \| search),` `two (info \| search),` `three (info \| search)`
	WORLD	`Multiple options: dot_clusters [smaller \| same \| bigger], point_clusters [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

Every nonempty region has two boxes vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP1063 BP1064 BP1065 BP1066 BP1067 * BP1069 BP1070 BP1071 BP1072 BP1073`
	KEYWORD	`arbitrary, perfect, infinitedetail`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search),` `two (info \| search)`
	WORLD	`recursive_boxes [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Three objects are identical, the fourth differs vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP298 BP299 BP300 BP301 BP302 * BP304 BP305 BP306 BP307 BP308`
	KEYWORD	`noisy, traditional, fixedgrid`
	CONCEPT	`same_shape (info \| search),` `same (info \| search)`
	AUTHOR	`"Lewis"`

Different ways of grouping yield same 4-1 split vs. different ways of grouping yield different 4-1 splits.

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	CROSSREFS	`Adjacent-numbered pages: BP140 BP141 BP142 BP143 BP144 * BP146 BP147 BP148 BP149 BP150`
	KEYWORD	`traditional, miniworlds`
	CONCEPT	`and (info \| search),` `number (info \| search),` `feature_cluster (info \| search),` `cluster (info \| search),` `same_shape (info \| search),` `same (info \| search),` `similar_shape (info \| search),` `similar (info \| search),` `one (info \| search),` `four (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

Segment drawn between two points intersects another line vs segment drawn between two points does not intersect any other lines

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	CROSSREFS	`This is nearly identical to BP163. Here instead of shape outlines dots are used, and the dots can be within the larger shape outline.` `Adjacent-numbered pages: BP1010 BP1011 BP1012 BP1013 BP1014 * BP1016 BP1017 BP1018 BP1019 BP1020`
	KEYWORD	`easy, precise`
	CONCEPT	`dot (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `object_line_overlap (info \| search),` `overlap (info \| search)`
	AUTHOR	`Peter Nesin`

Adding the top two waves yields the bottom wave vs. not so.

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	COMMENTS	`This problem is about wave interference.`
	CROSSREFS	`Adjacent-numbered pages: BP376 BP377 BP378 BP379 BP380 * BP382 BP383 BP384 BP385 BP386`
	KEYWORD	`nice, notso, math, orderedtriplet, traditional`
	CONCEPT	`addition (info \| search),` `wave (info \| search),` `2_inputs_1_output (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

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