The On-Line Encyclopedia of Bongard Problems

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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`

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`

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`

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

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	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`

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`

Concave shape vs. convex shape.

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	CROSSREFS	`BP4 is the same solution (flipped) but without the distracting dots (and also with some shapes filled in black and/or curvy instead of just polygon outlines).` `Adjacent-numbered pages: BP131 BP132 BP133 BP134 BP135 * BP137 BP138 BP139 BP140 BP141`
	KEYWORD	`noisy, ignoreimperfections, traditional`
	CONCEPT	`concave_convex_angle (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

Circles on same side of curve vs. circles on different sides of curves.

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	CROSSREFS	`Adjacent-numbered pages: BP130 BP131 BP132 BP133 BP134 * BP136 BP137 BP138 BP139 BP140`
	KEYWORD	`noisy, traditional`
	CONCEPT	`on_sides_of_curve (info \| search),` `separation_of_joined_objects (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

Circle centers are collinear vs. circle centers are not collinear.

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	CROSSREFS	`Adjacent-numbered pages: BP129 BP130 BP131 BP132 BP133 * BP135 BP136 BP137 BP138 BP139`
	KEYWORD	`traditional`
	CONCEPT	`all (info \| search),` `collinear (info \| search),` `center_of_circle (info \| search),` `center (info \| search),` `imagined_point (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

Dots collinear with center of circle vs. dots not collinear with center of circle.

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	CROSSREFS	`Adjacent-numbered pages: BP128 BP129 BP130 BP131 BP132 * BP134 BP135 BP136 BP137 BP138`
	KEYWORD	`traditional`
	CONCEPT	`all (info \| search),` `collinear (info \| search),` `center_of_circle (info \| search),` `center (info \| search),` `imagined_point (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

Dots are vertices of a triangle standing on a side vs. dots are vertices of a triangle standing on a vertex.

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	CROSSREFS	`Adjacent-numbered pages: BP127 BP128 BP129 BP130 BP131 * BP133 BP134 BP135 BP136 BP137`
	KEYWORD	`noisy, traditional`
	CONCEPT	`base (info \| search),` `horizontal (info \| search),` `vertex_of_meeting_lines (info \| search),` `triangle (info \| search),` `vertical (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

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