The On-Line Encyclopedia of Bongard Problems

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BP267

Odd number of straight line segments vs. even number of straight line segments.

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	CROSSREFS	`Adjacent-numbered pages: BP262 BP263 BP264 BP265 BP266 * BP268 BP269 BP270 BP271 BP272`
	CONCEPT	`even_odd (info \| search)`
	WORLD	`arial_font_centered_connected_symbol [smaller \| same \| bigger]`
	AUTHOR	`Merse E. Gáspár`

BP810

Figures can be transformed into one another by smooth stretching (intersection points stay constant; paths connecting those points remain), while remaining within the 2d box vs. movement out of the plane required.

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

	CROSSREFS	`All examples here fit left in BP809, a version where the figures are allowed to pass through themselves while being deformed.` `Adjacent-numbered pages: BP805 BP806 BP807 BP808 BP809 * BP811 BP812 BP813 BP814 BP815`
	KEYWORD	`nice, math, unorderedpair, traditional`
	CONCEPT	`topological_transformation (info \| search)`
	WORLD	`two_homeomorphic_figures_made_of_curves [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP93

Branches at outlined circle vs. branches at solid dark circle.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 244.`
	CROSSREFS	`Adjacent-numbered pages: BP88 BP89 BP90 BP91 BP92 * BP94 BP95 BP96 BP97 BP98`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`branch_point (info \| search),` `collinear (info \| search),` `outlined_filled (info \| search),` `texture (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

BP149

Lone square vs. lone circle.

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

	CROSSREFS	`Adjacent-numbered pages: BP144 BP145 BP146 BP147 BP148 * BP150 BP151 BP152 BP153 BP154`
	KEYWORD	`traditional`
	CONCEPT	`near_far (info \| search),` `feature_cluster (info \| search),` `cluster_of_one (info \| search),` `cluster (info \| search),` `one (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP1247

No straight path from one side of the panel to the other passes through the grey shape without hitting a black region vs. such a path exists.

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

	REFERENCE	`https://en.wikipedia.org/wiki/Opaque_set`
	CROSSREFS	`Adjacent-numbered pages: BP1242 BP1243 BP1244 BP1245 BP1246 * BP1248 BP1249 BP1250 BP1251 BP1252`
	KEYWORD	`precise, allsorted, unwordable, notso`
	CONCEPT	`imagined_line_or_curve (info \| search)`
	WORLD	`[smaller \| same \| bigger] zoom in left`
	AUTHOR	`Leo Crabbe`

BP379

Complete finite collection vs. incomplete finite collection.

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

	COMMENTS	`Related to BP380 and BP792.`
	CROSSREFS	`Adjacent-numbered pages: BP374 BP375 BP376 BP377 BP378 * BP380 BP381 BP382 BP383 BP384`
	KEYWORD	`nice, abstract, rules, miniworlds, collection`
	CONCEPT	`completeness (info \| search)`
	WORLD	`collection_of_objects_same_type [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP931

Some number labels its own position in the sequence from left to right vs. not so.

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

	COMMENTS	`Right examples are called "derangements".`
	CROSSREFS	`Adjacent-numbered pages: BP926 BP927 BP928 BP929 BP930 * BP932 BP933 BP934 BP935 BP936`
	KEYWORD	`handed, leftright, sequence, traditional, left-listable, right-listable`
	CONCEPT	`number (info \| search),` `dot (info \| search),` `self-reference (info \| search)`
	WORLD	`dot_clusters_sequence_horizontal [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP292

Angle made by shapes with vertex at square is not acute vs. angle made by shapes with vertex at square is acute.

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

	CROSSREFS	`Adjacent-numbered pages: BP287 BP288 BP289 BP290 BP291 * BP293 BP294 BP295 BP296 BP297`
	KEYWORD	`precise, spectrum, traditional, preciseworld`
	CONCEPT	`acute (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`"Lewis"`

BP528

Highly iterated fractal vs. fractal after only few iterations.

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

	CROSSREFS	`Adjacent-numbered pages: BP523 BP524 BP525 BP526 BP527 * BP529 BP530 BP531 BP532 BP533`
	KEYWORD	`world, contributepairs`
	CONCEPT	`fractal (info \| search)`
	WORLD	`zoom in left (fractal)`
	AUTHOR	`Aaron David Fairbanks`

BP269

Center of symmetry vs. no center of symmetry.

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

	CROSSREFS	`Adjacent-numbered pages: BP264 BP265 BP266 BP267 BP268 * BP270 BP271 BP272 BP273 BP274`
	CONCEPT	`symmetry (info \| search)`
	WORLD	`arial_font_centered_connected_symbol [smaller \| same \| bigger]`
	AUTHOR	`Merse E. Gáspár`

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