The On-Line Encyclopedia of Bongard Problems

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BP536

All gears can make complete turns vs. not so.

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`See BP336 for one gear turns all.` `Adjacent-numbered pages: BP531 BP532 BP533 BP534 BP535 * BP537 BP538 BP539 BP540 BP541`
	KEYWORD	`stretch, physics, traditional`
	CONCEPT	`all (info \| search),` `gear (info \| search)`
	WORLD	`gears [smaller \| same \| bigger] zoom in left \| zoom in right`
	AUTHOR	`Aaron David Fairbanks`

BP538

Shown is a box of this Bongard Problem (BP538) vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP533 BP534 BP535 BP536 BP537 * BP539 BP540 BP541 BP542 BP543`
	KEYWORD	`notso, left-finite, finished, invalid, experimental, funny`
	CONCEPT	`recursion (info \| search),` `self-reference (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP540

Objects define a map from the top row of boxes to the bottom row of boxes vs. not so.

(edit; present; nest [left/right]; search; history)

	REFERENCE	`https://en.wikipedia.org/wiki/Map_(mathematics)`
	CROSSREFS	`Adjacent-numbered pages: BP535 BP536 BP537 BP538 BP539 * BP541 BP542 BP543 BP544 BP545`
	AUTHOR	`Jago Collins`

BP543

Image depicting infinitely many objects vs. image depicting finitely many objects.

(edit; present; nest [left/right]; search; history)

	COMMENTS	`Another solution is "evokes infinity vs. not so." Or "seen as having arbitrarily fine detail." All left examples show objects getting smaller and smaller and closer and closer together approaching some limit within the box.`
	CROSSREFS	`Adjacent-numbered pages: BP538 BP539 BP540 BP541 BP542 * BP544 BP545 BP546 BP547 BP548`
	KEYWORD	`nice, abstract, concept, infinitedetail`
	CONCEPT	`finite_infinite (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP545

Solution for this problem (BP545) in English text vs. not.

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	COMMENTS	`This Problem admits multiple solutions besides "Solution for this problem in English text vs. not so," some of which are listed as the left examples. Some do not depend on the English language, so this Problem is technically "solvable" without the relevant cultural information.`
	CROSSREFS	`Adjacent-numbered pages: BP540 BP541 BP542 BP543 BP544 * BP546 BP547 BP548 BP549 BP550`
	KEYWORD	`notso, culture, finished, invalid, experimental, funny`
	CONCEPT	`recursion (info \| search),` `self-reference (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP548

Due to pixelation, it is ambiguous whether the middle small shape is a resized version of the left shape or the right shape vs. there is a clear choice.

(edit; present; nest [left/right]; search; history)

	COMMENTS	`A strange Problem relying on pixelation of digital images.`
	CROSSREFS	`Adjacent-numbered pages: BP543 BP544 BP545 BP546 BP547 * BP549 BP550 BP551 BP552 BP553`
	KEYWORD	`creativeexamples, pixelperfect, structure, orderedtriplet, experimental`
	CONCEPT	`imperfection_small (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP551

Unstable balance vs. not

(edit; present; nest [left/right]; search; history)

	REFERENCE	`https://en.wikipedia.org/wiki/Stability_theory`
	CROSSREFS	`Adjacent-numbered pages: BP546 BP547 BP548 BP549 BP550 * BP552 BP553 BP554 BP555 BP556`
	EXAMPLE	`The classic example is a pendulum with a solid rod (instead of a string) which has a stable balance point at the bottom of its swing, where if you move the pendulum slightly it will swing back towards that balanced state. However, theoretically the pendulum can also be balanced pointing directly up. In this case, if you move the pendulum slightly it will swing down away from that upwards balanced state.`
	KEYWORD	`updown, rotate, physics, anticomputer, perfect`
	CONCEPT	`tumbles_or_stays_put (info \| search),` `gravity (info \| search)`
	AUTHOR	`Jago Collins`

BP555

Black and white photograph versus drawing.

(edit; present; nest [left/right]; search; history)

	COMMENTS	`Although the images here are related to culture (BP521^left), the solution of this Bongard Problem is about the visual style of the images.`
	CROSSREFS	`Adjacent-numbered pages: BP550 BP551 BP552 BP553 BP554 * BP556 BP557 BP558 BP559 BP560`
	KEYWORD	`culture, experimental`
	WORLD	`zoom in left (black_and_white_photograph)`
	AUTHOR	`Aaron David Fairbanks`

BP557

Equal horizontal length vs. not

(edit; present; nest [left/right]; search; history)

	COMMENTS	`All examples in this Problem are pairs of straight line segments.` `This problem communicates the idea of projected distance, in this case from 2D to 1D (x-axis).`
	CROSSREFS	`Adjacent-numbered pages: BP552 BP553 BP554 BP555 BP556 * BP558 BP559 BP560 BP561 BP562`
	KEYWORD	`nice, precise, allsorted, stretch, perfect, unorderedpair, preciseworld`
	CONCEPT	`projection (info \| search)`
	WORLD	`two_segments [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP558

Point sequence that is increasing or decreasing in height vs. point sequence that alternates in height

(edit; present; nest [left/right]; search; history)

	COMMENTS	`All examples in this Problem are groups of 3 dots.` `Any example where 2 adjacent dots have the same height would be ambiguously sorted.`
	CROSSREFS	`Adjacent-numbered pages: BP553 BP554 BP555 BP556 BP557 * BP559 BP560 BP561 BP562 BP563`
	EXAMPLE	`Reading from right to left in the first box on the left hand side: the 2nd dot is higher than the 1st, and the 3rd is higher than the 2nd, so the sequence of dots is strictly increasing in height.`
	KEYWORD	`nice, precise, antihuman, orderedtriplet, preciseworld`
	CONCEPT	`coordinate (info \| search)`
	WORLD	`three_points [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

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