The On-Line Encyclopedia of Bongard Problems

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Object at lower-right fits as n-th item in the top row of objects, where n is the number of dots at lower-left vs. not so.

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	COMMENTS	`All examples have a number of dots in the bottom left corner, an object in the bottom right corner, and a sequence of object at the top.`
	CROSSREFS	`Adjacent-numbered pages: BP351 BP352 BP353 BP354 BP355 * BP357 BP358 BP359 BP360 BP361`
	KEYWORD	`nice, creativeexamples, left-narrow, structure, traditional, rules, miniworlds`
	CONCEPT	`fractal (info \| search),` `iteration (info \| search),` `tracing_line_or_curve (info \| search),` `feature_cluster (info \| search),` `shape_cluster (info \| search),` `cluster (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP1264

Any shape's axis of reflection is shared by another shape vs. not so.

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

	CROSSREFS	`Adjacent-numbered pages: BP1259 BP1260 BP1261 BP1262 BP1263 * BP1265 BP1266 BP1267 BP1268 BP1269`
	KEYWORD	`precise, allsorted, notso, left-narrow`
	CONCEPT	`symmetry (info \| search)`
	AUTHOR	`Leo Crabbe`

BP298

One of the two small squares is near the lower-right corner vs. one of the two small squares is near the upper-right corner.

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	CROSSREFS	`Adjacent-numbered pages: BP293 BP294 BP295 BP296 BP297 * BP299 BP300 BP301 BP302 BP303`
	KEYWORD	`noisy, traditional`
	CONCEPT	`absolute_position (info \| search),` `existence (info \| search)`
	AUTHOR	`"Lewis"`

BP959

This image of this Bongard Problem vs. empty image.

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	CROSSREFS	`See BP953, BP902.` `Adjacent-numbered pages: BP954 BP955 BP956 BP957 BP958 * BP960 BP961 BP962 BP963 BP964`
	KEYWORD	`less, meta (see left/right), miniproblems, left-finite, right-finite, left-full, right-full, right-null, perfect, infinitedetail, finished, experimental, funny`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`zoom in left \| zoom in right (blank_image)`
	AUTHOR	`Aaron David Fairbanks, Leo Crabbe`

BP1211

Triangle vs. anything else.

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	CROSSREFS	`See BP6 for "triangle vs. quadrilateral".` `Adjacent-numbered pages: BP1206 BP1207 BP1208 BP1209 BP1210 * BP1212 BP1213 BP1214 BP1215 BP1216`
	KEYWORD	`stub, notso, left-narrow, traditional`
	CONCEPT	`triangle (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP151

If the circle closest to the cross is removed, the rest form an equilateral triangle vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP146 BP147 BP148 BP149 BP150 * BP152 BP153 BP154 BP155 BP156`
	KEYWORD	`traditional`
	CONCEPT	`correspondence (info \| search),` `length_line_or_curve (info \| search),` `near_far (info \| search),` `number (info \| search),` `mentally_remove_object (info \| search),` `equilateral_triangle (info \| search),` `triangle (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP545

Solution for this problem (BP545) in English text vs. not.

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	COMMENTS	`This Problem admits multiple solutions besides "Solution for this problem in English text vs. not so," some of which are listed as the left examples. Some do not depend on the English language, so this Problem is technically "solvable" without the relevant cultural information.`
	CROSSREFS	`Adjacent-numbered pages: BP540 BP541 BP542 BP543 BP544 * BP546 BP547 BP548 BP549 BP550`
	KEYWORD	`notso, culture, finished, invalid, experimental, funny`
	CONCEPT	`recursion (info \| search),` `self-reference (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP14

All big individual figures vs. all small individual figures.

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	COMMENTS	`All examples in this Problem show one or more connected figures made up of lines.` `Some big shapes and some small shapes would be ambiguous.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 218.`
	CROSSREFS	`See BP2 for the same idea using one shape.` `Adjacent-numbered pages: BP9 BP10 BP11 BP12 BP13 * BP15 BP16 BP17 BP18 BP19`
	KEYWORD	`fuzzy, size, stable, finished, traditional, bongard`
	CONCEPT	`all (info \| search),` `length_line_or_curve (info \| search),` `size (info \| search)`
	WORLD	`curves_drawing [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

BP335

Tessellates the plane vs. does not tessellate the plane.

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	COMMENTS	`EX7152 is an example of a shape than can be stretched in such a way that it no longer tessellates the plane. This is a property that is only exhibited by shapes that tessellate with rotated copies of themselves. - Leo Crabbe, Mar 05 2021`
	CROSSREFS	`Adjacent-numbered pages: BP330 BP331 BP332 BP333 BP334 * BP336 BP337 BP338 BP339 BP340`
	KEYWORD	`nice, stretch, unstable, math, hardsort, creativeexamples, proofsrequired, perfect, pixelperfect, traditional`
	CONCEPT	`infinite_plane (info \| search),` `tessellation (info \| search),` `tiling (info \| search)`
	WORLD	`shape [smaller \| same \| bigger] zoom in left (fill_shape)`
	AUTHOR	`Aaron David Fairbanks`

BP1133

Impossible to realize in 3D space vs. not so.

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	COMMENTS	`Each unit is to be imagined as a flat rigid rod/hoop/triangle/etc.`
	REFERENCE	`https://en.wikipedia.org/wiki/Borromean_rings`
	CROSSREFS	`Similar to BP252.` `Adjacent-numbered pages: BP1128 BP1129 BP1130 BP1131 BP1132 * BP1134 BP1135 BP1136 BP1137 BP1138`
	KEYWORD	`precise`
	CONCEPT	`rigidity (info \| search),` `impossible (info \| search)`
	AUTHOR	`Leo Crabbe`

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