The On-Line Encyclopedia of Bongard Problems

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One object vs. two or more objects.

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	CROSSREFS	`Adjacent-numbered pages: BP272 BP273 BP274 BP275 BP276 * BP278 BP279 BP280 BP281 BP282`
	KEYWORD	`number`
	CONCEPT	`number (info \| search)`
	WORLD	`arial_font_symbols [smaller \| same \| bigger]`
	AUTHOR	`Merse E. Gáspár`

Equal number of horizontal and vertical lines vs. unequal number of horizontal and vertical lines.

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	CROSSREFS	`Adjacent-numbered pages: BP276 BP277 BP278 BP279 BP280 * BP282 BP283 BP284 BP285 BP286`
	KEYWORD	`traditional`
	CONCEPT	`horizontal (info \| search),` `number (info \| search),` `same_number (info \| search),` `same (info \| search),` `vertical (info \| search)`
	WORLD	`segments_cross [smaller \| same \| bigger]`
	AUTHOR	`Sang-Joon Yoon`

All three sizes are present vs. only two of the three sizes present.

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	CROSSREFS	`Adjacent-numbered pages: BP291 BP292 BP293 BP294 BP295 * BP297 BP298 BP299 BP300 BP301`
	KEYWORD	`traditional`
	CONCEPT	`all (info \| search),` `existence (info \| search),` `number (info \| search)`
	AUTHOR	`"Lewis"`

Number of sides minus number of pluses = 3 vs. number of sides minus number of pluses = 4.

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	CROSSREFS	`Adjacent-numbered pages: BP306 BP307 BP308 BP309 BP310 * BP312 BP313 BP314 BP315 BP316`
	KEYWORD	`traditional`
	CONCEPT	`subtraction (info \| search),` `number (info \| search)`
	AUTHOR	`Jakub Štepo`

The numbers of dots can be put into a sequence of consecutive numbers vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP313 BP314 BP315 BP316 BP317 * BP319 BP320 BP321 BP322 BP323`
	KEYWORD	`nice, traditional`
	CONCEPT	`size_increase_decrease (info \| search),` `iteration (info \| search),` `number (info \| search),` `ordinal_orering (info \| search),` `dot (info \| search),` `sequence (info \| search)`
	WORLD	`dot_clusters [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

The number of dots in one cluster is a multiple of the other vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP314 BP315 BP316 BP317 BP318 * BP320 BP321 BP322 BP323 BP324`
	KEYWORD	`math, unorderedpair, traditional`
	CONCEPT	`multiple_of (info \| search),` `number (info \| search),` `dot (info \| search),` `proportional (info \| search)`
	WORLD	`two_dot_clusters [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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`

Image of a Bongard Problem with (left) solution property that can have multiplicity vs. not so.

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	COMMENTS	`All examples are "object present vs. object absent" Problems.`
	CROSSREFS	`Adjacent-numbered pages: BP828 BP829 BP830 BP831 BP832 * BP834 BP835 BP836 BP837 BP838`
	KEYWORD	`abstract, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant`
	CONCEPT	`existence (info \| search),` `number (info \| search),` `one (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

The numbers of dots differ by three vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP920 BP921 BP922 BP923 BP924 * BP926 BP927 BP928 BP929 BP930`
	KEYWORD	`math, unorderedpair, traditional`
	CONCEPT	`subtraction (info \| search),` `number (info \| search),` `dot (info \| search),` `three (info \| search)`
	WORLD	`two_dot_clusters [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Numbers of dots in ascending order from left to right vs. numbers of dots neither in ascending nor descending order from left to right.

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	CROSSREFS	`Adjacent-numbered pages: BP921 BP922 BP923 BP924 BP925 * BP927 BP928 BP929 BP930 BP931`
	KEYWORD	`nice, math, sequence, traditional, left-listable, right-listable`
	CONCEPT	`number (info \| search),` `dot (info \| search)`
	WORLD	`dot_clusters_sequence_horizontal [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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