The On-Line Encyclopedia of Bongard Problems

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BP23

One vs. two figures.

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	COMMENTS	`All examples in this Problem comprise one or two shape outlines.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 221.`
	CROSSREFS	`Adjacent-numbered pages: BP18 BP19 BP20 BP21 BP22 * BP24 BP25 BP26 BP27 BP28`
	KEYWORD	`easy, nice, precise, number, world, gap, finished, traditional, bongard`
	CONCEPT	`number (info \| search),` `one (info \| search),` `two (info \| search)`
	WORLD	`outlines [smaller \| same \| bigger] zoom in left (shape_outline) \| zoom in right (two_outlines)`
	AUTHOR	`Mikhail M. Bongard`

BP31

One line vs. two lines.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 224.`
	CROSSREFS	`Adjacent-numbered pages: BP26 BP27 BP28 BP29 BP30 * BP32 BP33 BP34 BP35 BP36`
	KEYWORD	`easy, precise, allsorted, left-narrow, right-narrow, pixelperfect, traditional, bongard`
	CONCEPT	`distinguishing_crossing_curves (info \| search),` `one (info \| search),` `two (info \| search)`
	WORLD	`smooth_crosscurves [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

BP70

There are no side branches of the second order vs. there are side branches of the second order.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 237.`
	CROSSREFS	`Adjacent-numbered pages: BP65 BP66 BP67 BP68 BP69 * BP71 BP72 BP73 BP74 BP75`
	KEYWORD	`nice, finished, traditional, bongard`
	CONCEPT	`recursion_number (info \| search),` `recursion (info \| search),` `tracing_line_or_curve (info \| search),` `trunk_of_tree (info \| search),` `two (info \| search)`
	WORLD	`curve_tree [smaller \| same \| bigger] zoom in left (curve_tree_one_level)`
	AUTHOR	`Mikhail M. Bongard`

BP71

There are inside figures of the second order vs. there are no inside figures of the second order.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 237.`
	CROSSREFS	`See BP1022 for a Problem about presence of nesting.` `Adjacent-numbered pages: BP66 BP67 BP68 BP69 BP70 * BP72 BP73 BP74 BP75 BP76`
	KEYWORD	`nice, finished, traditional, bongard`
	CONCEPT	`recursion_number (info \| search),` `inside (info \| search),` `recursion (info \| search),` `two (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

BP141

Two clusters of three and two objects each vs. one cluster of three objects and two different objects.

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	CROSSREFS	`Adjacent-numbered pages: BP136 BP137 BP138 BP139 BP140 * BP142 BP143 BP144 BP145 BP146`
	KEYWORD	`traditional`
	CONCEPT	`and (info \| search),` `number (info \| search),` `feature_cluster (info \| search),` `cluster (info \| search),` `same_shape (info \| search),` `same (info \| search),` `one (info \| search),` `two (info \| search),` `three (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP142

Two clusters of three and two that are adjacent vs. two clusters of three and two that are not adjacent.

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	CROSSREFS	`Adjacent-numbered pages: BP137 BP138 BP139 BP140 BP141 * BP143 BP144 BP145 BP146 BP147`
	KEYWORD	`traditional, miniworlds`
	CONCEPT	`adjacent (info \| search),` `and (info \| search),` `feature_cluster (info \| search),` `cluster (info \| search),` `same_shape (info \| search),` `same (info \| search),` `two (info \| search),` `three (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`

BP147

Three collinear and two others, the two are vertical vs. the two are horizontal.

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	CROSSREFS	`Adjacent-numbered pages: BP142 BP143 BP144 BP145 BP146 * BP148 BP149 BP150 BP151 BP152`
	KEYWORD	`traditional`
	CONCEPT	`collinear (info \| search),` `horizontal (info \| search),` `feature_cluster (info \| search),` `cluster (info \| search),` `vertical (info \| search),` `two (info \| search),` `three (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP156

Three spatially separated clusters vs. two spatially separated clusters.

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	CROSSREFS	`Adjacent-numbered pages: BP151 BP152 BP153 BP154 BP155 * BP157 BP158 BP159 BP160 BP161`
	KEYWORD	`traditional`
	CONCEPT	`number (info \| search),` `feature_cluster (info \| search),` `cluster_of_one (info \| search),` `cluster (info \| search),` `two (info \| search),` `three (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP166

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`

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