The On-Line Encyclopedia of Bongard Problems

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BP189

All clusters are made of objects of the same texture vs. not all clusters are made of objects of the same texture.

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	CROSSREFS	`Adjacent-numbered pages: BP184 BP185 BP186 BP187 BP188 * BP190 BP191 BP192 BP193 BP194`
	KEYWORD	`traditional`
	CONCEPT	`all (info \| search),` `outlined_filled (info \| search),` `feature_cluster (info \| search),` `cluster (info \| search),` `same_feature (info \| search),` `same (info \| search),` `texture (info \| search)`
	AUTHOR	`Harry E. Foundalis`

BP101

Parallel dents vs. perpendicular dents.

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	CROSSREFS	`Adjacent-numbered pages: BP96 BP97 BP98 BP99 BP100 * BP102 BP103 BP104 BP105 BP106`
	KEYWORD	`traditional`
	CONCEPT	`indentation (info \| search),` `imagined_shape (info \| search),` `imagined_entity (info \| search),` `parallel (info \| search),` `perpendicular (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP1101

Each node is connected to the same number of nodes by straight lines vs. not so.

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	REFERENCE	`https://en.wikipedia.org/wiki/Regular_graph`
	CROSSREFS	`Any left example of BP1099 will be a left example for this BP.` `Adjacent-numbered pages: BP1096 BP1097 BP1098 BP1099 BP1100 * BP1102 BP1103 BP1104 BP1105 BP1106`
	KEYWORD	`precise, allsorted, preciseworld`
	CONCEPT	`graph (info \| search),` `distinguishing_crossing_curves (info \| search)`
	WORLD	`graph [smaller \| same \| bigger] zoom in left`
	AUTHOR	`Leo Crabbe`

BP1

Empty image vs. non-empty image.

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	COMMENTS	`The first Bongard Problem.` `All examples in this Bongard Problem are line drawings (one or more connected figures made up of curved and non-curved lines).`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 214.`
	CROSSREFS	`Adjacent-numbered pages: * BP2 BP3 BP4 BP5 BP6`
	EXAMPLE	`A circle fits on the right because it is not nothing.`
	KEYWORD	`easy, nice, precise, allsorted, unstable, world, left-narrow, left-finite, left-full, left-null, perfect, pixelperfect, finished, traditional, stableworld, deformstable, bongard`
	CONCEPT	`empty (info \| search),` `existence (info \| search),` `zero (info \| search)`
	WORLD	`zoom in left (blank_image) \| zoom in right (curves_drawing)`
	AUTHOR	`Mikhail M. Bongard`

BP1268

Palindromic when elements are grouped into (more than one) equal-sized blocks vs. no grouping of elements into (more than one) equal-sized blocks is palindromic.

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	COMMENTS	`Any palindrome would be sorted left, except strings of length zero or one.`
	CROSSREFS	`Adjacent-numbered pages: BP1263 BP1264 BP1265 BP1266 BP1267 * BP1269 BP1270 BP1271 BP1272 BP1273`
	KEYWORD	`precise, allsorted, unwordable, notso, sequence, traditional, miniworlds`
	CONCEPT	`element_wise_symmetry (info \| search),` `element_grouping (info \| search),` `sequence (info \| search),` `same_shape (info \| search),` `same (info \| search)`
	WORLD	`[smaller \| same \| bigger] zoom in left \| zoom in right`
	AUTHOR	`Leo Crabbe`

BP351

Discrete quantity vs. continuous quantity.

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	CROSSREFS	`See BP873 for the version with Bongard Problems.` `Adjacent-numbered pages: BP346 BP347 BP348 BP349 BP350 * BP352 BP353 BP354 BP355 BP356`
	KEYWORD	`creativeexamples, structure, sequence, traditional, rules`
	CONCEPT	`size_increase_decrease (info \| search),` `discrete_continuous (info \| search),` `iteration (info \| search),` `tracing_line_or_curve (info \| search)`
	WORLD	`constant_change_seq_increase_right [smaller \| same \| bigger] zoom in left (constant_change_discrete_seq_increase_right)`
	AUTHOR	`Aaron David Fairbanks`

BP323

Jigsaw puzzle pieces can be assembled into a square vs. jigsaw puzzle pieces cannot be assembled into a square.

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	COMMENTS	`Although it takes time to check each individual example, the right answer is likely the first thing a person would think of upon seeing this.`
	CROSSREFS	`Adjacent-numbered pages: BP318 BP319 BP320 BP321 BP322 * BP324 BP325 BP326 BP327 BP328`
	KEYWORD	`notso, hardsort`
	CONCEPT	`jigsaw_puzzle (info \| search),` `tiling (info \| search),` `imagined_motion (info \| search),` `motion (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP21

Small shape present vs. all shapes large.

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	COMMENTS	`All examples in this problem include three or fewer outlines of circles and (non-skinny) triangles.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 220.`
	CROSSREFS	`Adjacent-numbered pages: BP16 BP17 BP18 BP19 BP20 * BP22 BP23 BP24 BP25 BP26`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`existence (info \| search),` `size (info \| search)`
	WORLD	`circle_triangle_outlines [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

BP551

Unstable balance vs. not

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	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`

BP54

A cross, circle, and triangle arranged counterclockwise vs. a cross, circle, and triangle arranged clockwise.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 231.`
	CROSSREFS	`Adjacent-numbered pages: BP49 BP50 BP51 BP52 BP53 * BP55 BP56 BP57 BP58 BP59`
	KEYWORD	`dual, handed, finished, orderedtriplet, traditional, bongard`
	CONCEPT	`turn_orientation (info \| search),` `rotational_direction (info \| search),` `triangle (info \| search),` `direction (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

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