The On-Line Encyclopedia of Bongard Problems

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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`

Two clusters of different numbers of elements vs. two clusters of equal number of elements.

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	CROSSREFS	`Adjacent-numbered pages: BP164 BP165 BP166 BP167 BP168 * BP170 BP171 BP172 BP173 BP174`
	KEYWORD	`traditional`
	CONCEPT	`number (info \| search),` `feature_cluster (info \| search),` `cluster_of_one (info \| search),` `cluster (info \| search),` `same_number (info \| search),` `same (info \| search),` `two (info \| search)`
	AUTHOR	`Harry E. Foundalis`

One concavity vs. two concavities.

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	CROSSREFS	`Adjacent-numbered pages: BP176 BP177 BP178 BP179 BP180 * BP182 BP183 BP184 BP185 BP186`
	KEYWORD	`noisy, traditional`
	CONCEPT	`indentation (info \| search),` `number (info \| search),` `one (info \| search),` `two (info \| search)`
	AUTHOR	`Harry E. Foundalis`

Two clusters of two elements each vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP200 BP201 BP202 BP203 BP204 * BP206 BP207 BP208 BP209 BP210`
	KEYWORD	`traditional`
	CONCEPT	`feature_cluster (info \| search),` `cluster (info \| search),` `similar_shape (info \| search),` `similar (info \| search),` `two (info \| search)`
	AUTHOR	`Giuseppe Insana`

One cluster vs. two clusters.

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	CROSSREFS	`Adjacent-numbered pages: BP215 BP216 BP217 BP218 BP219 * BP221 BP222 BP223 BP224 BP225`
	KEYWORD	`traditional`
	CONCEPT	`number (info \| search),` `feature_cluster (info \| search),` `cluster_of_one (info \| search),` `cluster (info \| search),` `one (info \| search),` `two (info \| search)`
	AUTHOR	`Giuseppe Insana`

5 collinear objects, of which the 3rd is moved elsewhere vs. 5 collinear objects, of which the 2nd/4th is moved elsewhere.

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	CROSSREFS	`Adjacent-numbered pages: BP297 BP298 BP299 BP300 BP301 * BP303 BP304 BP305 BP306 BP307`
	KEYWORD	`traditional`
	CONCEPT	`collinear (info \| search),` `ordinal_orering (info \| search),` `two (info \| search),` `three (info \| search),` `four (info \| search),` `five (info \| search)`
	AUTHOR	`"Lewis"`

No two shapes are the same vs. at least two shapes are the same.

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	CROSSREFS	`BP57 is the same solution except all examples have two shapes.` `Adjacent-numbered pages: BP338 BP339 BP340 BP341 BP342 * BP344 BP345 BP346 BP347 BP348`
	KEYWORD	`traditional`
	CONCEPT	`existence (info \| search),` `identical (info \| search),` `same_shape (info \| search),` `same (info \| search),` `two (info \| search)`
	WORLD	`shapes [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Image of Bongard Problem with one simple solution vs. image of Bongard Problem with two "independent" simple solutions.

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	COMMENTS	`Properties are considered independent if none logically implies the other (or its opposite).`
	CROSSREFS	`Adjacent-numbered pages: BP823 BP824 BP825 BP826 BP827 * BP829 BP830 BP831 BP832 BP833`
	KEYWORD	`nice, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure`
	CONCEPT	`exists_one (info \| search),` `two (info \| search)`
	WORLD	`boxes_bpimage_three_per_side [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Two unique distances between points vs. three unique distances between points.

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	CROSSREFS	`Adjacent-numbered pages: BP944 BP945 BP946 BP947 BP948 * BP950 BP951 BP952 BP953 BP954`
	KEYWORD	`nice, precise, allsorted, stretch, perfect, traditional, preciseworld`
	CONCEPT	`two (info \| search),` `three (info \| search)`
	WORLD	`3_or_4_points [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

White space in two circles maximum vs. white space in three circles maximum.

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	CROSSREFS	`Adjacent-numbered pages: BP1014 BP1015 BP1016 BP1017 BP1018 * BP1020 BP1021 BP1022 BP1023 BP1024`
	KEYWORD	`nice, precise, traditional`
	CONCEPT	`recursion_number (info \| search),` `separated_regions (info \| search),` `circle (info \| search),` `recursion (info \| search),` `two (info \| search),` `three (info \| search)`
	WORLD	`circles_cross [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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