The On-Line Encyclopedia of Bongard Problems

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A circle is inside of a figure made by crosses vs. a circle is outside of figures made by crosses.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 241.`
	CROSSREFS	`Adjacent-numbered pages: BP78 BP79 BP80 BP81 BP82 * BP84 BP85 BP86 BP87 BP88`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`convex_hull (info \| search),` `inside (info \| search),` `cluster_of_one (info \| search),` `cluster (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Three identical elements vs. four identical elements.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 244.`
	CROSSREFS	`BP1226 is "three identical elements vs. other number of identical elements".` `Adjacent-numbered pages: BP86 BP87 BP88 BP89 BP90 * BP92 BP93 BP94 BP95 BP96`
	KEYWORD	`number, ignoreimperfections, finished, traditional, bongard`
	CONCEPT	`indentation (info \| search),` `on_line_or_curve (info \| search),` `number (info \| search),` `protrusion (info \| search),` `separation_of_joined_objects (info \| search),` `same (info \| search),` `three (info \| search),` `four (info \| search)`
	WORLD	`curves_and_fill_shapes_drawing [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

A small correction will result in a single circle vs. no small correction will result in a single circle.

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	CROSSREFS	`Adjacent-numbered pages: BP114 BP115 BP116 BP117 BP118 * BP120 BP121 BP122 BP123 BP124`
	KEYWORD	`fuzzy, traditional`
	CONCEPT	`existence (info \| search),` `imperfection_small (info \| search)`
	WORLD	`curves_drawing [smaller \| same \| bigger]`
	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`

Quadrilateral that is nearly a triangle vs. typical quadrilateral.

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	CROSSREFS	`Adjacent-numbered pages: BP155 BP156 BP157 BP158 BP159 * BP161 BP162 BP163 BP164 BP165`
	KEYWORD	`perfect, traditional`
	CONCEPT	`imperfection_small (info \| search),` `number (info \| search),` `triangle (info \| search)`
	WORLD	`Multiple options: [smaller \| same \| bigger], quadrilateral_outline [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

Number of objects is one less than sides of each object vs. number of objects is one more than sides of each object.

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	CROSSREFS	`Adjacent-numbered pages: BP159 BP160 BP161 BP162 BP163 * BP165 BP166 BP167 BP168 BP169`
	KEYWORD	`nice, traditional`
	CONCEPT	`subtraction (info \| search),` `number (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

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`

Every cluster has two clusters of dots vs. every cluster has three clusters of dots.

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	CROSSREFS	`Adjacent-numbered pages: BP162 BP163 BP164 BP165 BP166 * BP168 BP169 BP170 BP171 BP172`
	KEYWORD	`traditional`
	CONCEPT	`number (info \| search),` `dot (info \| search),` `recursion (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`

Object thinner at top vs. object thicker at top.

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	CROSSREFS	`Adjacent-numbered pages: BP174 BP175 BP176 BP177 BP178 * BP180 BP181 BP182 BP183 BP184`
	KEYWORD	`traditional`
	CONCEPT	`size_increase_decrease (info \| search),` `downward_upward (info \| search),` `regular_irregular_change (info \| search),` `tracing_line_or_curve (info \| search),` `uppermost_lowermost (info \| search)`
	WORLD	`shape_outline [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

Orifice on the left vs. orifice on the right.

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	CROSSREFS	`Adjacent-numbered pages: BP186 BP187 BP188 BP189 BP190 * BP192 BP193 BP194 BP195 BP196`
	KEYWORD	`nice, traditional`
	CONCEPT	`entrance_exit (info \| search),` `left_right (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

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