The On-Line Encyclopedia of Bongard Problems

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BP525

Some zoomed-in (cropped) version of an image of a hollow circle vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP520 BP521 BP522 BP523 BP524 * BP526 BP527 BP528 BP529 BP530`
	KEYWORD	`stretch, boundingbox, left-null, traditional, left-couldbe`
	CONCEPT	`circle (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP524

Same objects are shown lined up in both "universes" vs. the two "universes" are not aligned.

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	COMMENTS	All examples are black and white images, partitioned by lines such that crossing a line switches the background color and the foreground color. (Sometimes it is not clear which is "background" and which is "foreground".) In the space between two dividing lines, there is a black and white scene; the outlines of the shapes are curves dividing black from white. Images sorted left are such that each outline-curve present in a scene that comes in contact non-tangentially with a dividing line continues across the dividing line, across which the black and white sides of it switch. `Examples (especially right) usually have ambiguity to some degree; depending on how a person reads the images, dividing lines may be confused for curves within a scene.`
	CROSSREFS	`Adjacent-numbered pages: BP519 BP520 BP521 BP522 BP523 * BP525 BP526 BP527 BP528 BP529`
	KEYWORD	`fuzzy, unwordable, anticomputer, traditional, blackwhiteinvariant`
	AUTHOR	`Aaron David Fairbanks`

BP523

Same amount of black in any vertical slice vs. varying amounts of black in vertical slices.

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	CROSSREFS	`Adjacent-numbered pages: BP518 BP519 BP520 BP521 BP522 * BP524 BP525 BP526 BP527 BP528`
	KEYWORD	`nice, precise, rotate, stretch, unstable, perfect, pixelperfect, traditional`
	WORLD	`shapes_can_touch_box [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP505

Number indicated on number line conceptually related to image shown below vs. not so.

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	COMMENTS	`This is the "easier version" of BP801.` `All numbers on the left are canonical mathematical constants, i.e. there are no totally arbitrary ratios, with images below featuring those ratios.`
	CROSSREFS	`Adjacent-numbered pages: BP500 BP501 BP502 BP503 BP504 * BP506 BP507 BP508 BP509 BP510`
	KEYWORD	`fuzzy, math`
	CONCEPT	`number (info \| search),` `ratio (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP394

For each colored square only, there exists a path starting on it that covers each square of the figure exactly once vs. there is no path that starts on a colored square and covers each square of the figure exactly once.

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	CROSSREFS	`Adjacent-numbered pages: BP389 BP390 BP391 BP392 BP393 * BP395 BP396 BP397 BP398 BP399`
	KEYWORD	`hard, nice, solved, traditional, dithering, left-listable, right-listable`
	CONCEPT	`existence (info \| search),` `path (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Jago Collins`

BP393

Correct vs. incorrect.

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	COMMENTS	`"True" vs. "false."`
	CROSSREFS	`Adjacent-numbered pages: BP388 BP389 BP390 BP391 BP392 * BP394 BP395 BP396 BP397 BP398`
	KEYWORD	`nice, fuzzy, abstract, collective, contributepairs, traditional, rules, miniworlds, dithering`
	CONCEPT	`categorization (info \| search),` `true_false (info \| search)`
	AUTHOR	`Jago Collins`

BP392

Exponential increase vs. linear increase.

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	CROSSREFS	`Adjacent-numbered pages: BP387 BP388 BP389 BP390 BP391 * BP393 BP394 BP395 BP396 BP397`
	KEYWORD	`contributepairs, traditional`
	CONCEPT	`acceleration (info \| search),` `exponential (info \| search)`
	AUTHOR	`Jago Collins`

BP391

There exists an edge such that removing it yields two disconnected graphs (i.e., the minimum number of edges whose removal results in two disconnected graphs is 1) vs. the minimum number of edges whose removal results in two disconnected graphs is 2.

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	CROSSREFS	`Adjacent-numbered pages: BP386 BP387 BP388 BP389 BP390 * BP392 BP393 BP394 BP395 BP396`
	KEYWORD	`nice, precise, traditional, preciseworld`
	CONCEPT	`graph (info \| search),` `distinguishing_crossing_curves (info \| search),` `existence (info \| search),` `imagined_shape (info \| search),` `imagined_entity (info \| search)`
	WORLD	`connected_graph [smaller \| same \| bigger]`
	AUTHOR	`Jago Collins`

BP390

Each graph vertex is uniquely defined by its connections (the graph does not admit nontrivial automorphisms) vs. the graph admits nontrivial automorphisms.

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	CROSSREFS	`Adjacent-numbered pages: BP385 BP386 BP387 BP388 BP389 * BP391 BP392 BP393 BP394 BP395`
	KEYWORD	`precise, allsorted, notso, traditional, preciseworld`
	CONCEPT	`graph (info \| search),` `self-reference (info \| search),` `topological_transformation (info \| search),` `imagined_shape (info \| search),` `imagined_entity (info \| search)`
	WORLD	`connected_graph [smaller \| same \| bigger]`
	AUTHOR	`Jago Collins`

BP389

Loops are entangled (in 3-D) vs. loops can be separated (in 3-D).

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	CROSSREFS	`Adjacent-numbered pages: BP384 BP385 BP386 BP387 BP388 * BP390 BP391 BP392 BP393 BP394`
	KEYWORD	`nice, precise, allsorted, contributepairs, traditional`
	CONCEPT	`knot (info \| search),` `topological_transformation (info \| search),` `imagined_motion (info \| search),` `motion (info \| search)`
	WORLD	`link_two_knots [smaller \| same \| bigger]`
	AUTHOR	`Jago Collins`

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