The On-Line Encyclopedia of Bongard Problems

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There are more small circles inside the figure outline than outside vs. there are fewer small circles inside the figure outline than outside.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 223.`
	CROSSREFS	`Adjacent-numbered pages: BP24 BP25 BP26 BP27 BP28 * BP30 BP31 BP32 BP33 BP34`
	KEYWORD	`spectrum, finished, traditional, discrete, viceversa, bongard`
	CONCEPT	`inside (info \| search),` `interior_exterior (info \| search),` `number (info \| search),` `shape_cluster (info \| search),` `cluster (info \| search),` `quantity_comparison (info \| search)`
	WORLD	`dot_outlines_and_larger_outline_nest [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

BP42

Points inside the figure outline are on a straight line vs. points inside the figure outline are not on a straight line.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 227.`
	CROSSREFS	`Adjacent-numbered pages: BP37 BP38 BP39 BP40 BP41 * BP43 BP44 BP45 BP46 BP47`
	KEYWORD	`noisy, finished, traditional, bongard`
	CONCEPT	`collinear (info \| search),` `interior_exterior (info \| search),` `shape_cluster (info \| search),` `cluster (info \| search)`
	WORLD	`dots_and_outline_three_are_nested [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

BP49

Points inside the figure outline are grouped more densely than outside the contour vs. points outside the figure contour are grouped more densely than inside the contour.

(edit; present; nest [left/right]; search; history)

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 230.`
	CROSSREFS	`Adjacent-numbered pages: BP44 BP45 BP46 BP47 BP48 * BP50 BP51 BP52 BP53 BP54`
	KEYWORD	`finished, traditional, viceversa, bongard`
	CONCEPT	`inside (info \| search),` `interior_exterior (info \| search),` `near_far (info \| search),` `feature_cluster (info \| search),` `shape_cluster (info \| search),` `cluster (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

BP84

A quadrangle is outside of a figure made by circles vs. a quadrangle is inside of a figure made by circles.

(edit; present; nest [left/right]; search; history)

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 241.`
	CROSSREFS	`Adjacent-numbered pages: BP79 BP80 BP81 BP82 BP83 * BP85 BP86 BP87 BP88 BP89`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`convex_hull (info \| search),` `interior_exterior (info \| search),` `cluster (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

BP122

Line divides interior into two regions vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP117 BP118 BP119 BP120 BP121 * BP123 BP124 BP125 BP126 BP127`
	KEYWORD	`traditional`
	CONCEPT	`separated_regions (info \| search),` `interior_exterior (info \| search),` `number (info \| search),` `tiling (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP128

Same objects inside and outside the large shape vs. not same objects inside and outside the large shape.

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	CROSSREFS	`Adjacent-numbered pages: BP123 BP124 BP125 BP126 BP127 * BP129 BP130 BP131 BP132 BP133`
	KEYWORD	`noisy, traditional`
	CONCEPT	`inside (info \| search),` `interior_exterior (info \| search),` `outlined_filled (info \| search),` `shape_cluster (info \| search),` `cluster (info \| search),` `same_number (info \| search),` `same (info \| search),` `texture (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP291

The shapes in the large square never appear outside of it vs. at least one shape in the large square appears outside of it.

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	CROSSREFS	`Adjacent-numbered pages: BP286 BP287 BP288 BP289 BP290 * BP292 BP293 BP294 BP295 BP296`
	KEYWORD	`traditional`
	CONCEPT	`inside (info \| search),` `interior_exterior (info \| search)`
	AUTHOR	`"Lewis"`

BP306

Ratio of inside to outside identical shapes is constant vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP301 BP302 BP303 BP304 BP305 * BP307 BP308 BP309 BP310 BP311`
	KEYWORD	`traditional`
	CONCEPT	`inside (info \| search),` `interior_exterior (info \| search),` `ratio (info \| search)`
	AUTHOR	`"Lewis"`

BP310

Enclosed square repelled by the outside squares, closest to the side of the enclosing square thats farthest from the common center of the outside squares. vs. enclosed square attracted by the outside squares, closest to the side of the enclosing square thats closest to the common center of the outside squares..

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	CROSSREFS	`Adjacent-numbered pages: BP305 BP306 BP307 BP308 BP309 * BP311 BP312 BP313 BP314 BP315`
	KEYWORD	`traditional`
	CONCEPT	`cluster_barycenter (info \| search),` `inside (info \| search),` `interior_exterior (info \| search),` `near_far (info \| search),` `shape_cluster (info \| search),` `cluster (info \| search),` `imagined_point (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`"Lewis"`

BP322

One outer outline vs. more than one outer outline.

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	CROSSREFS	`Adjacent-numbered pages: BP317 BP318 BP319 BP320 BP321 * BP323 BP324 BP325 BP326 BP327`
	KEYWORD	`nice, precise, allsorted, traditional`
	CONCEPT	`separated_regions (info \| search),` `interior_exterior (info \| search),` `outer_outline (info \| search),` `recursion (info \| search),` `one (info \| search)`
	WORLD	`nest_shapes [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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