The On-Line Encyclopedia of Bongard Problems

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Shape of black region has as many sides as overall object vs. shape of black region has different number of sides than overall object.

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	CROSSREFS	`Adjacent-numbered pages: BP277 BP278 BP279 BP280 BP281 * BP283 BP284 BP285 BP286 BP287`
	KEYWORD	`traditional`
	CONCEPT	`outlined_filled (info \| search),` `similar_shape (info \| search),` `similar (info \| search),` `texture (info \| search)`
	AUTHOR	`Sang-Joon Yoon`

BP109

Circle on the right of the box vs. circle on the left of the box.

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	CROSSREFS	`Adjacent-numbered pages: BP104 BP105 BP106 BP107 BP108 * BP110 BP111 BP112 BP113 BP114`
	KEYWORD	`noisy, dual, handed, leftright, traditional`
	CONCEPT	`absolute_position (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP953

Image of this Bongard Problem vs. empty image.

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	COMMENTS	`"Image of Bongard Problem with solution X vs. empty image" where X is the phrase in quotes.`
	CROSSREFS	`See BP959, BP902.` `Adjacent-numbered pages: BP948 BP949 BP950 BP951 BP952 * BP954 BP955 BP956 BP957 BP958`
	KEYWORD	`nice, precise, meta (see left/right), miniproblems, overriddensolution, right-full, right-null, perfect, infinitedetail, experimental, funny`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`zoom in left (bp953_image) \| zoom in right (blank_image)`
	AUTHOR	`Leo Crabbe`

BP171

Angle bisectors meet at the incenter vs. perpendicular bisectors meet at the orthocenter.

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	CROSSREFS	`Adjacent-numbered pages: BP166 BP167 BP168 BP169 BP170 * BP172 BP173 BP174 BP175 BP176`
	KEYWORD	`nice, math, traditional`
	CONCEPT	`triangle_incenter (info \| search),` `triangle_orthocenter (info \| search),` `triangle (info \| search)`
	AUTHOR	`Harry E. Foundalis`

BP266

At least one touch or cross point vs. no touch or cross point.

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	CROSSREFS	`Adjacent-numbered pages: BP261 BP262 BP263 BP264 BP265 * BP267 BP268 BP269 BP270 BP271`
	CONCEPT	`x-crossing (info \| search),` `or (info \| search),` `existence (info \| search),` `t-point (info \| search)`
	WORLD	`arial_font_centered_symbol [smaller \| same \| bigger]`
	AUTHOR	`Merse E. Gáspár`

BP999

The collection of collections obeys the same rule as the individual collections vs. it does not.

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	COMMENTS	`Rhetorical question: Where would the collection of left examples of this Bongard Problem be sorted by this Bongard Problem? (The question is whether these examples considered together satisfy the pattern that all the parts do, namely that the whole satisfies the pattern that all the parts do.)` `See BP793 and BP1004 for similar paradoxes.`
	CROSSREFS	`See BP1005 for the version about only numerical properties; examples in that BP would be sorted the same way here that they are there.` `See BP1003 for a similar idea. Rather than the collection of collections imitating the individual collections, BP1003 is about the total combined collection imitating the individual collections. A picture showing (for example) an odd number of even-numbered groups would be sorted differently by these two BPs.` `Also see BP1004, which is likewise about the whole satisfying the same rule as its parts, but there the parts don't themselves have to be collections; there the parts are just plain individual objects. The panels in BP999 (this BP) should be sorted the same way in BP1004.` `See BP1002, which is about only visual self-similarity instead of more general conceptual "self-similarity".` `Adjacent-numbered pages: BP994 BP995 BP996 BP997 BP998 * BP1000 BP1001 BP1002 BP1003 BP1004`
	KEYWORD	`nice, abstract, creativeexamples, left-narrow, rules, miniworlds`
	CONCEPT	`recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`[smaller \| same \| bigger] zoom in left \| zoom in right`
	AUTHOR	`Aaron David Fairbanks`

BP219

Parallel curves vs. non-parallel curves.

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	CROSSREFS	`Adjacent-numbered pages: BP214 BP215 BP216 BP217 BP218 * BP220 BP221 BP222 BP223 BP224`
	KEYWORD	`traditional`
	CONCEPT	`all (info \| search)`
	AUTHOR	`Giuseppe Insana`

BP181

One concavity vs. two concavities.

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	CROSSREFS	`Adjacent-numbered pages: BP176 BP177 BP178 BP179 BP180 * BP182 BP183 BP184 BP185 BP186`
	KEYWORD	`noisy, traditional`
	CONCEPT	`indentation (info \| search),` `number (info \| search),` `one (info \| search),` `two (info \| search)`
	AUTHOR	`Harry E. Foundalis`

BP1291

Black points are the set of vertices that are some shortest-distance away from some white vertex vs. not so.

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	COMMENTS	`Left hand examples can be thought of as "graph circles".`
	CROSSREFS	`https://en.wikipedia.org/wiki/Level_structure` `Adjacent-numbered pages: BP1286 BP1287 BP1288 BP1289 BP1290 * BP1292`
	KEYWORD	`precise, unwordable, notso, left-narrow`
	CONCEPT	`graph (info \| search)`
	AUTHOR	`Leo Crabbe`

BP1219

Blank image (square) vs. image of blank square.

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	CROSSREFS	`See also BP1056, "blank image vs. nothing".` `BP1 is also a (less specific) solution to this.` `BP1209 (flipped) is also a (less specific) solution to this.` `Adjacent-numbered pages: BP1214 BP1215 BP1216 BP1217 BP1218 * BP1220 BP1221 BP1222 BP1223 BP1224`
	KEYWORD	`minimal, gap, left-narrow, right-narrow, left-finite, right-finite, left-full, right-full, left-null, funny, unstableworld`
	CONCEPT	`empty (info \| search),` `square (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

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