The On-Line Encyclopedia of Bongard Problems

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Lines intersect within the box vs. lines intersect out of the box.

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	CROSSREFS	`Adjacent-numbered pages: BP307 BP308 BP309 BP310 BP311 * BP313 BP314 BP315 BP316 BP317`
	KEYWORD	`precise, allsorted, boundingbox, perfect, unorderedpair, traditional, preciseworld, absoluteposition`
	CONCEPT	`completed_out_of_box (info \| search),` `vertex_of_meeting_lines (info \| search),` `imagined_point (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Jakub Štepo`

Closed curves clockwise, open curves counterclockwise vs. closed curves counterclockwise, open curves clockwise.

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	CROSSREFS	`Adjacent-numbered pages: BP308 BP309 BP310 BP311 BP312 * BP314 BP315 BP316 BP317 BP318`
	KEYWORD	`dual, handed, leftright, updown, traditional`
	CONCEPT	`turn_orientation (info \| search),` `closed_open (info \| search)`
	AUTHOR	`Jakub Štepo`

Long distance between the marked locations vs. short distance between the marked locations.

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	CROSSREFS	`Adjacent-numbered pages: BP309 BP310 BP311 BP312 BP313 * BP315 BP316 BP317 BP318 BP319`
	KEYWORD	`traditional`
	CONCEPT	`length_line_or_curve (info \| search),` `maze (info \| search),` `path (info \| search)`
	AUTHOR	`Jakub Štepo`

One area unreachable by the marked locations vs. all areas reachable by the marked locations.

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	CROSSREFS	`Adjacent-numbered pages: BP310 BP311 BP312 BP313 BP314 * BP316 BP317 BP318 BP319 BP320`
	KEYWORD	`traditional`
	CONCEPT	`maze (info \| search),` `reachable (info \| search)`
	AUTHOR	`Jakub Štepo`

At least one path is a cycle vs. no path is a cycle.

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	CROSSREFS	`Adjacent-numbered pages: BP311 BP312 BP313 BP314 BP315 * BP317 BP318 BP319 BP320 BP321`
	KEYWORD	`traditional`
	CONCEPT	`cyclic_path (info \| search),` `maze (info \| search),` `path (info \| search)`
	AUTHOR	`Jakub Štepo`

Number of enclosed black circles varies in correlation with enclosing circle outline size vs. not so.

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	COMMENTS	`This is a Bongard Problem about comparing something discrete (number) with something continuous (size).` `The inner black circles vary in size randomly. (This forces the solution to be about the discrete number of black circles instead of their combined area.)`
	CROSSREFS	`Adjacent-numbered pages: BP312 BP313 BP314 BP315 BP316 * BP318 BP319 BP320 BP321 BP322`
	KEYWORD	`nice, traditional`
	CONCEPT	`inside (info \| search),` `dot (info \| search),` `proportional (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

The numbers of dots can be put into a sequence of consecutive numbers vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP313 BP314 BP315 BP316 BP317 * BP319 BP320 BP321 BP322 BP323`
	KEYWORD	`nice, traditional`
	CONCEPT	`size_increase_decrease (info \| search),` `iteration (info \| search),` `number (info \| search),` `ordinal_orering (info \| search),` `dot (info \| search),` `sequence (info \| search)`
	WORLD	`dot_clusters [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

The number of dots in one cluster is a multiple of the other vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP314 BP315 BP316 BP317 BP318 * BP320 BP321 BP322 BP323 BP324`
	KEYWORD	`math, unorderedpair, traditional`
	CONCEPT	`multiple_of (info \| search),` `number (info \| search),` `dot (info \| search),` `proportional (info \| search)`
	WORLD	`two_dot_clusters [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

The numbers of dots in the two clusters are approximately equal (log scale) vs. the numbers of dots in the two clusters differ a lot.

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	COMMENTS	`The point is that, on the left, the two groups look about the same to the eye at first glance.` `In left examples the numbers are off by a factor of 7/6 or less vs. in right examples the numbers are off by a factor of 2 or greater.`
	CROSSREFS	`Adjacent-numbered pages: BP315 BP316 BP317 BP318 BP319 * BP321 BP322 BP323 BP324 BP325`
	KEYWORD	`nice, traditional`
	CONCEPT	`numerosity (info \| search),` `similar_number (info \| search),` `similar (info \| search)`
	WORLD	`two_dot_clusters [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Small round object unreachable from the border of the box vs. small round object reachable from the border of the box.

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	COMMENTS	`Equivalently, "small round object enclosed by white loop vs. not so."`
	CROSSREFS	`Adjacent-numbered pages: BP316 BP317 BP318 BP319 BP320 * BP322 BP323 BP324 BP325 BP326`
	KEYWORD	`nice, precise, allsorted, boundingbox, perfect, pixelperfect, traditional, bordercontent`
	CONCEPT	`bounding_box (info \| search),` `path (info \| search),` `reachable (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

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