The On-Line Encyclopedia of Bongard Problems

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BP280

The left part is wider than the right part vs. the left part is narrower than the right part.

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	CROSSREFS	`Adjacent-numbered pages: BP275 BP276 BP277 BP278 BP279 * BP281 BP282 BP283 BP284 BP285`
	CONCEPT	`convex_hull (info \| search),` `horizontal (info \| search),` `left_right (info \| search),` `length_line_or_curve (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `vertical (info \| search)`
	WORLD	`arial_font_two_symbols [smaller \| same \| bigger]`
	AUTHOR	`Merse E. Gáspár`

BP287

Rays emanating from a central point vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP282 BP283 BP284 BP285 BP286 * BP288 BP289 BP290 BP291 BP292`
	KEYWORD	`traditional`
	CONCEPT	`lines_coincide (info \| search),` `imagined_point (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `triangle_arrow (info \| search),` `triangle (info \| search)`
	AUTHOR	`"Lewis"`

BP292

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

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	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"`

BP310

Enclosed square repelled by the outside squares, closest to the side of the enclosing square thats farthest from the common center of the outside squares. vs. enclosed square attracted by the outside squares, closest to the side of the enclosing square thats closest to the common center of the outside squares..

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	CROSSREFS	`Adjacent-numbered pages: BP305 BP306 BP307 BP308 BP309 * BP311 BP312 BP313 BP314 BP315`
	KEYWORD	`traditional`
	CONCEPT	`cluster_barycenter (info \| search),` `inside (info \| search),` `interior_exterior (info \| search),` `near_far (info \| search),` `shape_cluster (info \| search),` `cluster (info \| search),` `imagined_point (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`"Lewis"`

BP312

Lines intersect within the box vs. lines intersect out of the box.

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	CROSSREFS	`Adjacent-numbered pages: BP307 BP308 BP309 BP310 BP311 * BP313 BP314 BP315 BP316 BP317`
	KEYWORD	`precise, allsorted, boundingbox, perfect, unorderedpair, traditional, preciseworld, absoluteposition`
	CONCEPT	`completed_out_of_box (info \| search),` `vertex_of_meeting_lines (info \| search),` `imagined_point (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Jakub Štepo`

BP342

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`

BP344

Shape can tile itself vs. shape cannot tile itself.

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	COMMENTS	`Left examples are sometimes called "rep-tiles."` `The tiles all must be the same size. More specifically, all left examples can tile themselves only using scaled down and rotated versions of themselves with all tiles the same size. Right examples cannot tile themselves using scaled down rotated versions of themselves or even reflected versions of themselves with all tiles the same size.` `Without the puzzle piece-like shape EX4120 on the right side the current examples also allow the solution "shape can tile with itself so as to create a parallelogram vs. shape cannot tile with itself so as to create a parallelogram."`
	CROSSREFS	`See BP532 for a version with fractals.` `Adjacent-numbered pages: BP339 BP340 BP341 BP342 BP343 * BP345 BP346 BP347 BP348 BP349`
	EXAMPLE	`Go to https://oebp.org/files/yet.png for an illustration of how some left-sorted shapes tile themselves.`
	KEYWORD	`hard, nice, precise, notso, unstable, math, hardsort, creativeexamples, proofsrequired, perfect, traditional`
	CONCEPT	`recursion (info \| search),` `self-reference (info \| search),` `tiling (info \| search),` `imagined_shape (info \| search),` `imagined_entity (info \| search)`
	WORLD	`shape [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP345

Intersection of circle and square vs. union of circle and square.

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	COMMENTS	`An image of only a circle or of only a square would be ambiguously categorized.`
	CROSSREFS	`Adjacent-numbered pages: BP340 BP341 BP342 BP343 BP344 * BP346 BP347 BP348 BP349 BP350`
	KEYWORD	`nice, left-narrow, right-narrow, traditional, both`
	CONCEPT	`set_intersection (info \| search),` `set_union (info \| search),` `imagined_shape (info \| search),` `imagined_entity (info \| search),` `overlap (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP358

The circles will collide if the arrows are their velocities vs. the circles will not collide if the arrows are their velocities.

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	CROSSREFS	`Adjacent-numbered pages: BP353 BP354 BP355 BP356 BP357 * BP359 BP360 BP361 BP362 BP363`
	KEYWORD	`nice, physics, unorderedpair, traditional`
	CONCEPT	`arrow (info \| search),` `tracing_lines_or_curves_meet (info \| search),` `speed (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `imagined_motion (info \| search),` `motion (info \| search),` `collision (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP362

Choice that solves the analogy exists vs. choice that solves the analogy does not exist.

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	CROSSREFS	`Adjacent-numbered pages: BP357 BP358 BP359 BP360 BP361 * BP363 BP364 BP365 BP366 BP367`
	KEYWORD	`creativeexamples, assumesfamiliarity, structure, rules`
	CONCEPT	`analogy (info \| search),` `imagined_shape (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

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