The On-Line Encyclopedia of Bongard Problems

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BP104

One circle passes through the center of the other circle vs. no circle passes through the center of the other circle.

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	CROSSREFS	`Adjacent-numbered pages: BP99 BP100 BP101 BP102 BP103 * BP105 BP106 BP107 BP108 BP109`
	KEYWORD	`precise, unorderedpair, traditional`
	CONCEPT	`on_line_or_curve (info \| search),` `center_of_circle (info \| search),` `center (info \| search),` `imagined_point (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP210

Part of at least one object is out of box vs. all objects are within the box.

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

	COMMENTS	`Alternatively, "black touches the boundary vs. not".`
	CROSSREFS	`Adjacent-numbered pages: BP205 BP206 BP207 BP208 BP209 * BP211 BP212 BP213 BP214 BP215`
	KEYWORD	`precise, boundingbox, perfect, pixelperfect, traditional, bordercontent`
	CONCEPT	`completed_out_of_box (info \| search),` `existence (info \| search)`
	AUTHOR	`Giuseppe Insana`

BP292

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

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

	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"`

BP312

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

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

	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`

BP321

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

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

	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`

BP322

One outer outline vs. more than one outer outline.

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

	CROSSREFS	`Adjacent-numbered pages: BP317 BP318 BP319 BP320 BP321 * BP323 BP324 BP325 BP326 BP327`
	KEYWORD	`nice, precise, allsorted, traditional`
	CONCEPT	`separated_regions (info \| search),` `interior_exterior (info \| search),` `outer_outline (info \| search),` `recursion (info \| search),` `one (info \| search)`
	WORLD	`nest_shapes [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP324

Left shapes can be placed on top of each other to make right shape vs. not so.

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

	CROSSREFS	`Adjacent-numbered pages: BP319 BP320 BP321 BP322 BP323 * BP325 BP326 BP327 BP328 BP329`
	KEYWORD	`precise, unstable, perfect, pixelperfect, structure, orderedtriplet, traditional`
	CONCEPT	`set_union (info \| search),` `same_shape (info \| search),` `same (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP325

Left shapes can combine by symmetric difference (XOR logical operator) to make right shape vs. left shapes can combine by intersection (AND logical operator) to make right shape.

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

	CROSSREFS	`Adjacent-numbered pages: BP320 BP321 BP322 BP323 BP324 * BP326 BP327 BP328 BP329 BP330`
	KEYWORD	`precise, unstable, perfect, pixelperfect, structure, orderedtriplet, traditional`
	CONCEPT	`xor (info \| search),` `overlap (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP329

Regular polygon vs. not regular polygon.

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

	CROSSREFS	`Adjacent-numbered pages: BP324 BP325 BP326 BP327 BP328 * BP330 BP331 BP332 BP333 BP334`
	KEYWORD	`precise, allsorted, stretch, traditional, finishedexamples, preciseworld`
	CONCEPT	`angle (info \| search),` `same_feature (info \| search),` `same (info \| search)`
	WORLD	`polygon_outline [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP334

Odd number of dots vs. even number of dots.

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

	CROSSREFS	`See BP334 for a version of the same idea, but using arbitrary shapes instead of dots.` `Adjacent-numbered pages: BP329 BP330 BP331 BP332 BP333 * BP335 BP336 BP337 BP338 BP339`
	KEYWORD	`precise, allsorted, number, math, left-narrow, right-narrow, right-null, help, traditional, preciseworld`
	CONCEPT	`even_odd (info \| search)`
	WORLD	`dots [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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