The On-Line Encyclopedia of Bongard Problems

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BP1249

Any straight path will hit a black region vs. not so.

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

	REFERENCE	`https://en.wikipedia.org/wiki/Opaque_set`
	CROSSREFS	`Adjacent-numbered pages: BP1244 BP1245 BP1246 BP1247 BP1248 * BP1250 BP1251 BP1252 BP1253 BP1254`
	KEYWORD	`notso, blackwhite, right-null, perfect, bordercontent`
	CONCEPT	`imagined_line_or_curve (info \| search)`
	AUTHOR	`Leo Crabbe`

BP1250

BPs whose left-sorted examples exhibit the following property: if a square region of any left-sorted example is replaced with any other left-sorted example, the resultant image is also sorted left vs. BPs whose left-sorted examples do not exhibit this property.

BP1

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	CROSSREFS	`Adjacent-numbered pages: BP1245 BP1246 BP1247 BP1248 BP1249 * BP1251 BP1252 BP1253 BP1254 BP1255`
	KEYWORD	`unwordable, meta (see left/right), links`
	AUTHOR	`Leo Crabbe`

BP1251

BPs whose right-sorted examples exhibit the following property: if a square region of any right-sorted example is replaced with any other right-sorted example, the resultant image is also sorted right vs. BPs whose right-sorted examples do not exhibit this property.

BP1

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

	CROSSREFS	`Adjacent-numbered pages: BP1246 BP1247 BP1248 BP1249 BP1250 * BP1252 BP1253 BP1254 BP1255 BP1256`
	KEYWORD	`unwordable, meta (see left/right), links`
	AUTHOR	`Leo Crabbe`

BP1252

No entirely white paths from one side to another vs. one can find such a path.

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

	COMMENTS	`The left-sorted patterns connect all four corners with a single black region. - Rhodri Prysor, Oct 16 2024`
	CROSSREFS	`Adjacent-numbered pages: BP1247 BP1248 BP1249 BP1250 BP1251 * BP1253 BP1254 BP1255 BP1256 BP1257`
	KEYWORD	`precise, allsorted, notso, blackwhite, right-null, bordercontent`
	AUTHOR	`Leo Crabbe`

BP1253

Text strings vs. images of text strings

WWWWWWW

____hem

image

joym

жю

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

	CROSSREFS	`Adjacent-numbered pages: BP1248 BP1249 BP1250 BP1251 BP1252 * BP1254 BP1255 BP1256 BP1257 BP1258`
	KEYWORD	`gap, experimental`
	AUTHOR	`Leo Crabbe`

BP1254

Bongard Problems with solutions of the form "[X] vs. [representation of X]" vs. vice versa.

BP1126

BP1219

BP1253

BP1056

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

	CROSSREFS	`Adjacent-numbered pages: BP1249 BP1250 BP1251 BP1252 BP1253 * BP1255 BP1256 BP1257 BP1258 BP1259`
	KEYWORD	`dual, meta (see left/right), links, viceversa`
	AUTHOR	`Leo Crabbe`

BP1255

Shades of green vs. shades of red.

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

	CROSSREFS	`Adjacent-numbered pages: BP1250 BP1251 BP1252 BP1253 BP1254 * BP1256 BP1257 BP1258 BP1259 BP1260`
	KEYWORD	`easy, precise, allsorted, minimal, arbitrary, color, continuous`
	AUTHOR	`Leo Crabbe`

BP1256

Arrows which if moved at speeds proportional to their length would pass eachother vs. not so

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

	CROSSREFS	`Adjacent-numbered pages: BP1251 BP1252 BP1253 BP1254 BP1255 * BP1257 BP1258 BP1259 BP1260 BP1261`
	KEYWORD	`precise, physics, unorderedpair, traditional`
	CONCEPT	`arrow (info \| search)`
	AUTHOR	`Matt Samuels`

BP1257

The rule is about squares having a certain relationship with their neighbors vs. it is not.

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

	COMMENTS	`"Local vs. global."` `For clarity, rules involving diagonal neighbors or squares more than one step away are never used.` `The similar solution "Each square can be deduced from its neighbors vs. not so" does not quite work; for example EX8114 would then not fit left. See also BP1258 ("Each square can be deduced from the rest vs. not so").`
	CROSSREFS	`Adjacent-numbered pages: BP1252 BP1253 BP1254 BP1255 BP1256 * BP1258 BP1259 BP1260 BP1261 BP1262`
	KEYWORD	`structure, rules, grid, miniworlds`
	CONCEPT	`local_global (info \| search)`
	WORLD	`grid_of_images_with_rule [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1258

It is possible to deduce the contents of any square from the rest vs. it is not.

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

	CROSSREFS	`BP979 is very similar: whether a particular square can be deduced from the rest.` `Adjacent-numbered pages: BP1253 BP1254 BP1255 BP1256 BP1257 * BP1259 BP1260 BP1261 BP1262 BP1263`
	KEYWORD	`notso, rules, grid, miniworlds`
	CONCEPT	`convey_enough_information (info \| search),` `choice (info \| search)`
	WORLD	`grid_of_images_with_rule [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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