The On-Line Encyclopedia of Bongard Problems

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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`

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`

BP145

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`

BP146

A shape contains a square if and only if it is a circle vs. a shape contains a square if and only if it is a triangle.

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	CROSSREFS	`Adjacent-numbered pages: BP141 BP142 BP143 BP144 BP145 * BP147 BP148 BP149 BP150 BP151`
	KEYWORD	`traditional`
	CONCEPT	`iff (info \| search),` `inside (info \| search),` `triangle (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`

BP148

A little less than a regular shape vs. a little more than a regular shape.

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	CROSSREFS	`Adjacent-numbered pages: BP143 BP144 BP145 BP146 BP147 * BP149 BP150 BP151 BP152 BP153`
	KEYWORD	`fuzzy, ignoreimperfections, traditional`
	CONCEPT	`imperfection_small (info \| search),` `missing_part (info \| search),` `extra_part (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP149

Lone square vs. lone circle.

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	CROSSREFS	`Adjacent-numbered pages: BP144 BP145 BP146 BP147 BP148 * BP150 BP151 BP152 BP153 BP154`
	KEYWORD	`traditional`
	CONCEPT	`near_far (info \| search),` `feature_cluster (info \| search),` `cluster_of_one (info \| search),` `cluster (info \| search),` `one (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP150

Odd number of squares vs. even number of squares.

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	CROSSREFS	`Adjacent-numbered pages: BP145 BP146 BP147 BP148 BP149 * BP151 BP152 BP153 BP154 BP155`
	KEYWORD	`number, traditional`
	CONCEPT	`even_odd (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP151

If the circle closest to the cross is removed, the rest form an equilateral triangle vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP146 BP147 BP148 BP149 BP150 * BP152 BP153 BP154 BP155 BP156`
	KEYWORD	`traditional`
	CONCEPT	`correspondence (info \| search),` `length_line_or_curve (info \| search),` `near_far (info \| search),` `number (info \| search),` `mentally_remove_object (info \| search),` `equilateral_triangle (info \| search),` `triangle (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

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