The On-Line Encyclopedia of Bongard Problems

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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`

BP211

More black than white vs. more white than black.

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	CROSSREFS	`See BP196 for a version of this Problem restricted to uniform textures.` `Adjacent-numbered pages: BP206 BP207 BP208 BP209 BP210 * BP212 BP213 BP214 BP215 BP216`
	KEYWORD	`easy, nice, spectrum, dual, blackwhite, unstable, right-null, perfect, pixelperfect, traditional, continuous, viceversa, bordercontent`
	CONCEPT	`outlined_filled (info \| search),` `size (info \| search),` `texture (info \| search)`
	WORLD	`bmp [smaller \| same \| bigger] zoom in left \| zoom in right`
	AUTHOR	`Giuseppe Insana`

BP364

Two clearly separable groups vs. not so.

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	COMMENTS	`An image of this Bongard Problem will fit as a left example for itself.`
	CROSSREFS	`Adjacent-numbered pages: BP359 BP360 BP361 BP362 BP363 * BP365 BP366 BP367 BP368 BP369`
	KEYWORD	`nice, fuzzy, right-null, traditional, miniworlds`
	CONCEPT	`feature_cluster (info \| search),` `cluster (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP374

Simple object vs. complex object.

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	COMMENTS	`People consistently get the answer to this, but many people think they haven't found the actual answer yet even though they have. - Aaron David Fairbanks, Aug 16 2020`
	CROSSREFS	`Adjacent-numbered pages: BP369 BP370 BP371 BP372 BP373 * BP375 BP376 BP377 BP378 BP379`
	KEYWORD	`easy, nice, traditional`
	CONCEPT	`simplicity (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP533

Contains smaller copy of itself vs. doesn't.

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	CROSSREFS	`Adjacent-numbered pages: BP528 BP529 BP530 BP531 BP532 * BP534 BP535 BP536 BP537 BP538`
	EXAMPLE	`A smaller copy of EX6409 (the black area) can be located within itself, but some of the white space inside it is not retained in this smaller copy.`
	KEYWORD	`perfect, infinitedetail, contributepairs`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`connected_built_from_self_tile_fractals [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP961

Includes itself on the left vs. includes itself on the right.

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	COMMENTS	`Some examples are Bongard Problems with this solution.`
	CROSSREFS	`Adjacent-numbered pages: BP956 BP957 BP958 BP959 BP960 * BP962 BP963 BP964 BP965 BP966`
	KEYWORD	`nice, precise, dual, handed, leftright, perfect, infinitedetail, both, neither, preciseworld`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP970

Triangle is largest black shape vs. circle is largest black shape.

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	CROSSREFS	`Adjacent-numbered pages: BP965 BP966 BP967 BP968 BP969 * BP971 BP972 BP973 BP974 BP975`
	KEYWORD	`stub`
	CONCEPT	`circle (info \| search),` `size (info \| search),` `triangle (info \| search),` `most (info \| search),` `quantity_comparison (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP971

Left half has more black (less white) than right half versus vice versa.

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	COMMENTS	`A similar, but different, solution is "center of mass is on the left half vs. center of mass is on the right half."`
	CROSSREFS	`See BP972 for the version with examples rotated a quarter-turn.` `Adjacent-numbered pages: BP966 BP967 BP968 BP969 BP970 * BP972 BP973 BP974 BP975 BP976`
	KEYWORD	`nice, precise, spectrum, dual, handed, leftright, rotate, boundingbox, blackwhite, traditional, viceversa, absoluteposition, bordercontent`
	AUTHOR	`Aaron David Fairbanks`

BP977

Two of the same object are enclosed in the same space (there is a path between them) vs. not so.

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	COMMENTS	`An "object" is everything within some black boundary.`
	CROSSREFS	`See BP1071 for a version with only squares and with infinite nesting allowed.` `Adjacent-numbered pages: BP972 BP973 BP974 BP975 BP976 * BP978 BP979 BP980 BP981 BP982`
	KEYWORD	`nice, precise, allsorted, creativeexamples, traditional`
	CONCEPT	`separated_regions (info \| search),` `identical (info \| search),` `recursion (info \| search),` `imagined_line_or_curve (info \| search),` `same_shape (info \| search),` `same (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP1209

Empty square present vs. no square present.

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	CROSSREFS	`Nearly identical to BP1221, which is the same except non-empty squares are allowed.` `See BP24 for "circle present vs. not".` `Adjacent-numbered pages: BP1204 BP1205 BP1206 BP1207 BP1208 * BP1210 BP1211 BP1212 BP1213 BP1214`
	KEYWORD	`stub, left-narrow, traditional`
	CONCEPT	`empty (info \| search),` `existence (info \| search),` `square (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

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