The On-Line Encyclopedia of Bongard Problems

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Exactly one circle vs. not exactly one circle.

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	CROSSREFS	`Adjacent-numbered pages: BP122 BP123 BP124 BP125 BP126 * BP128 BP129 BP130 BP131 BP132`
	KEYWORD	`noisy, notso, traditional`
	CONCEPT	`exists_one (info \| search),` `number (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

Exactly one axis of symmetry vs. either zero or more than one axis of symmetry.

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	CROSSREFS	`Adjacent-numbered pages: BP337 BP338 BP339 BP340 BP341 * BP343 BP344 BP345 BP346 BP347`
	KEYWORD	`traditional, finishedexamples`
	CONCEPT	`exists_one (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `symmetry_axis (info \| search),` `symmetry (info \| search)`
	WORLD	`shape_outline [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Each black filled circle belongs to exactly one large circle outline vs. not so.

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	COMMENTS	`On the left, circles define a partition of the dots.`
	CROSSREFS	`Adjacent-numbered pages: BP522 BP523 BP524 BP525 BP526 * BP528 BP529 BP530 BP531 BP532`
	KEYWORD	`precise, allsorted, traditional`
	CONCEPT	`circle (info \| search),` `exists_one (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Image of Bongard Problem with one simple solution vs. image of Bongard Problem with two "independent" simple solutions.

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	COMMENTS	`Properties are considered independent if none logically implies the other (or its opposite).` `Another way of putting it is that on the right, the most descriptive good solution is of the form "[property 1] AND [property 2] vs. neither".`
	CROSSREFS	`Adjacent-numbered pages: BP823 BP824 BP825 BP826 BP827 * BP829 BP830 BP831 BP832 BP833`
	KEYWORD	`nice, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure`
	CONCEPT	`exists_one (info \| search),` `two (info \| search)`
	WORLD	`boxes_bpimage_three_per_side [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Exactly one connected white region for each possible way shapes can overlap vs. not so.

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	COMMENTS	`All left-sorted examples have 2^n distinct white regions (counting the background), where n is the number of shapes in the image.`
	REFERENCE	`https://en.wikipedia.org/wiki/Venn_diagram`
	CROSSREFS	`Similar solution to BP1262, except there overlaps do not have to be unique.` `Adjacent-numbered pages: BP1256 BP1257 BP1258 BP1259 BP1260 * BP1262 BP1263 BP1264 BP1265 BP1266`
	KEYWORD	`notso, left-narrow, left-null, perfect`
	CONCEPT	`exists_one (info \| search)`
	AUTHOR	`Leo Crabbe`

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