The On-Line Encyclopedia of Bongard Problems

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Closed region is made of curves if flaws are ignored vs. closed region is a polygon if flaws are ignored.

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	CROSSREFS	`Adjacent-numbered pages: BP125 BP126 BP127 BP128 BP129 * BP131 BP132 BP133 BP134 BP135`
	KEYWORD	`noisy, traditional`
	CONCEPT	`curved_straight (info \| search),` `imperfection_small (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

Two of the shapes make tiles along their border lines vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP196 BP197 BP198 BP199 BP200 * BP202 BP203 BP204 BP205 BP206`
	KEYWORD	`noisy, traditional`
	CONCEPT	`rotation_required (info \| search),` `tiling (info \| search),` `imagined_motion (info \| search),` `motion (info \| search)`
	WORLD	`fill_shapes [smaller \| same \| bigger]`
	AUTHOR	`Giuseppe Insana`

Square minus circle vs. circle minus square.

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	COMMENTS	`All examples in this Bongard Problem are solid black shapes.`
	CROSSREFS	`BP345 is "Intersection of circle and square vs. union of circle and square."` `Adjacent-numbered pages: BP1267 BP1268 BP1269 BP1270 BP1271 * BP1273 BP1274 BP1275 BP1276 BP1277`
	EXAMPLE	`EX1 is ambiguous because it might be a small circle minus a large square, or a small square minus a large circle.`
	KEYWORD	`easy, nice, precise, dual`
	CONCEPT	`subtraction (info \| search),` `overlap (info \| search)`
	AUTHOR	`Ben`

Number in the Nth box (from the left) is how many numbers appear N times vs. not so.

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	CROSSREFS	`Inspired by BP1148.` `Adjacent-numbered pages: BP1144 BP1145 BP1146 BP1147 BP1148 * BP1150 BP1151 BP1152 BP1153 BP1154`
	KEYWORD	`nice, precise, unwordable, notso, handed, leftright, left-narrow, sequence, preciseworld, left-listable, right-listable`
	CONCEPT	`self-reference (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

All figures of the same color vs. figures of different colors.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 232.`
	CROSSREFS	`Adjacent-numbered pages: BP51 BP52 BP53 BP54 BP55 * BP57 BP58 BP59 BP60 BP61`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`all (info \| search),` `outlined_filled (info \| search),` `same_feature (info \| search),` `same (info \| search),` `texture (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

Ratio of inside to outside identical shapes is constant vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP301 BP302 BP303 BP304 BP305 * BP307 BP308 BP309 BP310 BP311`
	KEYWORD	`traditional`
	CONCEPT	`inside (info \| search),` `interior_exterior (info \| search),` `ratio (info \| search)`
	AUTHOR	`"Lewis"`

Arrow pointing north-west vs. arrow pointing elsewhere.

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	CROSSREFS	`BP1216 is "arrow pointing north-west vs. arrow pointing south-east".` `Adjacent-numbered pages: BP1213 BP1214 BP1215 BP1216 BP1217 * BP1219 BP1220 BP1221 BP1222 BP1223`
	KEYWORD	`stub, precise, allsorted, notso, handed, leftright, updown, rotate, left-narrow, traditional`
	CONCEPT	`diagonal (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Large black dot on the main branch vs. large black dot on a side branch.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 236.`
	CROSSREFS	`Adjacent-numbered pages: BP64 BP65 BP66 BP67 BP68 * BP70 BP71 BP72 BP73 BP74`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`line_or_curve_endpoint (info \| search),` `on_line_or_curve (info \| search),` `tracing_line_or_curve (info \| search),` `trunk_of_tree (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

Straight line tangent to curve vs. straight line not tangent to curve.

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	CROSSREFS	`Adjacent-numbered pages: BP322 BP323 BP324 BP325 BP326 * BP328 BP329 BP330 BP331 BP332`
	KEYWORD	`math, traditional`
	CONCEPT	`tangent (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Small round object unreachable from the border of the box vs. small round object reachable from the border of the box.

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	COMMENTS	`Equivalently, "small round object enclosed by white loop vs. not so."`
	CROSSREFS	`Adjacent-numbered pages: BP316 BP317 BP318 BP319 BP320 * BP322 BP323 BP324 BP325 BP326`
	KEYWORD	`nice, precise, allsorted, boundingbox, perfect, pixelperfect, traditional, bordercontent`
	CONCEPT	`bounding_box (info \| search),` `path (info \| search),` `reachable (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

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