The On-Line Encyclopedia of Bongard Problems

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Bottom shape is bigger than top shape vs. top shape is bigger than bottom shape.

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

	CROSSREFS	`BP1214 has the same solution but rotated a quarter-turn clockwise.` `Adjacent-numbered pages: BP1212 BP1213 BP1214 BP1215 BP1216 * BP1218 BP1219 BP1220 BP1221 BP1222`
	KEYWORD	`stub, dual, handed, updown, traditional`
	CONCEPT	`size (info \| search),` `quantity_comparison (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Arrow pointing north-west vs. arrow pointing elsewhere.

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

	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`

Same shape up to resizing vs. different shapes.

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

	CROSSREFS	`BP57 instead requires the shapes are identical, even in size.` `Adjacent-numbered pages: BP1217 BP1218 BP1219 BP1220 BP1221 * BP1223 BP1224 BP1225 BP1226 BP1227`
	KEYWORD	`stub, precise, allsorted, traditional`
	CONCEPT	`size (info \| search),` `same_shape (info \| search),` `same (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Center square is black vs. center square is white.

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	COMMENTS	`All examples are a three by three grid of black or white squares.`
	CROSSREFS	`Adjacent-numbered pages: BP1218 BP1219 BP1220 BP1221 BP1222 * BP1224 BP1225 BP1226 BP1227 BP1228`
	KEYWORD	`stub, left-finite, right-finite, traditional, finishedexamples, fixedgrid, preciseworld`
	CONCEPT	`outlined_filled (info \| search),` `center (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Three identical elements vs. other number of identical elements.

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	COMMENTS	`Based on BP91, which is the same, except for that the right side is "four identical elements".`
	CROSSREFS	`Adjacent-numbered pages: BP1221 BP1222 BP1223 BP1224 BP1225 * BP1227 BP1228 BP1229 BP1230 BP1231`
	KEYWORD	`stub, arbitrary, number, traditional`
	CONCEPT	`number (info \| search),` `three (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Frieze pattern with glide reflection symmetry vs. not.

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

	COMMENTS	`Each example on the left is imagined to continue beyond the bounding box.`
	CROSSREFS	`Adjacent-numbered pages: BP1223 BP1224 BP1225 BP1226 BP1227 * BP1229 BP1230 BP1231 BP1232 BP1233`
	KEYWORD	`stub, notso, traditional, bordercontent, seemslike`
	CONCEPT	`symmetry (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Curves with at least one crossing vs. curves do not cross.

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

	COMMENTS	`Based on BP30, "curve with exactly one self-crossing vs. curve without a self-crossing". This is just a slightly more general version.`
	CROSSREFS	`Adjacent-numbered pages: BP1227 BP1228 BP1229 BP1230 BP1231 * BP1233 BP1234 BP1235 BP1236 BP1237`
	EXAMPLE	`EX6881`
	KEYWORD	`stub, notso, traditional`
	CONCEPT	`x-crossing (info \| search),` `existence (info \| search)`
	WORLD	`crosscurves [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Different curves cross each other vs. curves only cross themselves (or do not cross at all).

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

	CROSSREFS	`Adjacent-numbered pages: BP1228 BP1229 BP1230 BP1231 BP1232 * BP1234 BP1235 BP1236 BP1237 BP1238`
	KEYWORD	`notso, traditional`
	CONCEPT	`distinguishing_crossing_curves (info \| search),` `x-crossing (info \| search)`
	WORLD	`smooth_crosscurves [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Any symmetry exhibited by some non-empty subset of the objects is also a symmetry of the whole thing vs. not so.

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	COMMENTS	`In other words, placing the image over itself (rotation and flipping allowed) so that any parts match up makes the whole image match up to itself vs. not so.`
	CROSSREFS	`See BP965 for a variation on this idea where the "parts" are allowed to be arbitrary regions of the image instead of individual objects shown in the image.` `Adjacent-numbered pages: BP1241 BP1242 BP1243 BP1244 BP1245 * BP1247 BP1248 BP1249 BP1250 BP1251`
	KEYWORD	`precise, allsorted, unwordable, notso, traditional`
	CONCEPT	`local_global (info \| search),` `self-reference (info \| search),` `symmetry (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Arrows which if moved at speeds proportional to their length would pass eachother vs. not so

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

	CROSSREFS	`Adjacent-numbered pages: BP1251 BP1252 BP1253 BP1254 BP1255 * BP1257 BP1258 BP1259 BP1260 BP1261`
	KEYWORD	`precise, physics, unorderedpair, traditional`
	CONCEPT	`arrow (info \| search)`
	AUTHOR	`Matt Samuels`

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