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.

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	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`

BP61

A line separates the crosses in half vs. a line does not separate the crosses in half.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 234.`
	CROSSREFS	`Adjacent-numbered pages: BP56 BP57 BP58 BP59 BP60 * BP62 BP63 BP64 BP65 BP66`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`sides_of_line (info \| search),` `shape_cluster (info \| search),` `cluster (info \| search),` `same_number (info \| search),` `same (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

BP66

Unconnected circles on a horizontal line vs. unconnected circles on a vertical line.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 235.`
	CROSSREFS	`Adjacent-numbered pages: BP61 BP62 BP63 BP64 BP65 * BP67 BP68 BP69 BP70 BP71`
	KEYWORD	`noisy, finished, traditional, bongard`
	CONCEPT	`collinear (info \| search),` `horizontal (info \| search),` `on_line_or_curve (info \| search),` `shape_cluster (info \| search),` `cluster (info \| search),` `vertical (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

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`

BP143

Two clusters of three and two vs. two clusters of four and one.

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	CROSSREFS	`Adjacent-numbered pages: BP138 BP139 BP140 BP141 BP142 * BP144 BP145 BP146 BP147 BP148`
	KEYWORD	`traditional`
	CONCEPT	`and (info \| search),` `number (info \| search),` `feature_cluster (info \| search),` `shape_cluster (info \| search),` `cluster (info \| search),` `same_shape (info \| search),` `same (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP144

Two clusters of three and two: different features (including clustering) yield different 3-2 splits vs. two clusters of three and two: different features yield the same 3-2 split.

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	CROSSREFS	`Adjacent-numbered pages: BP139 BP140 BP141 BP142 BP143 * BP145 BP146 BP147 BP148 BP149`
	KEYWORD	`nice, traditional, miniworlds`
	CONCEPT	`and (info \| search),` `number (info \| search),` `separable_entangled (info \| search),` `feature_cluster (info \| search),` `shape_cluster (info \| search),` `cluster (info \| search),` `two (info \| search),` `three (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP190

All connected objects have the same texture vs. some connected objects have different textures.

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	CROSSREFS	`Adjacent-numbered pages: BP185 BP186 BP187 BP188 BP189 * BP191 BP192 BP193 BP194 BP195`
	KEYWORD	`anticomputer, traditional`
	CONCEPT	`distinguishing_crossing_curves (info \| search),` `all (info \| search),` `on_line_or_curve (info \| search),` `outlined_filled (info \| search),` `shape_cluster (info \| search),` `cluster (info \| search),` `same_feature (info \| search),` `same (info \| search),` `texture (info \| search)`
	AUTHOR	`Harry E. Foundalis`

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"`

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