The On-Line Encyclopedia of Bongard Problems

Search: author:Douglas R. Hofstadter

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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`

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`

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`

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`

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`

BP141

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

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

	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`

BP140

One large shape and two smaller identical ones vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP135 BP136 BP137 BP138 BP139 * BP141 BP142 BP143 BP144 BP145`
	KEYWORD	`traditional`
	CONCEPT	`and (info \| search),` `size (info \| search),` `same_shape (info \| search),` `same (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP139

Similar components that change regularly vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP134 BP135 BP136 BP137 BP138 * BP140 BP141 BP142 BP143 BP144`
	KEYWORD	`traditional, miniworlds`
	CONCEPT	`regular_irregular_change (info \| search),` `similar_shape (info \| search),` `similar (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP138

No dot well within the convex hull vs. at least one dot well within the convex hull.

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

	CROSSREFS	`Adjacent-numbered pages: BP133 BP134 BP135 BP136 BP137 * BP139 BP140 BP141 BP142 BP143`
	KEYWORD	`traditional`
	CONCEPT	`convex_hull (info \| search),` `existence (info \| search),` `imagined_shape (info \| search),` `imagined_entity (info \| search)`
	WORLD	`5_dots [smaller \| same \| bigger]`
	AUTHOR	`Douglas R. Hofstadter`

BP137

Dots equal in number to the sides of the closed region vs. dots unequal in number to the sides of the closed region.

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	CROSSREFS	`Adjacent-numbered pages: BP132 BP133 BP134 BP135 BP136 * BP138 BP139 BP140 BP141 BP142`
	KEYWORD	`left-null, traditional`
	CONCEPT	`same_number (info \| search),` `same (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

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