The On-Line Encyclopedia of Bongard Problems

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Shapes identical after rotation vs. shapes identical after rotation and mirroring.

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	CROSSREFS	`Adjacent-numbered pages: BP300 BP301 BP302 BP303 BP304 * BP306 BP307 BP308 BP309 BP310`
	KEYWORD	`nice, traditional`
	CONCEPT	`rotation_required (info \| search),` `same_shape (info \| search),` `same (info \| search)`
	AUTHOR	`"Lewis"`

Number of enclosed black circles varies in correlation with enclosing circle outline size vs. not so.

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	COMMENTS	`This is a Bongard Problem about comparing something discrete (number) with something continuous (size).` `The inner black circles vary in size randomly. (This forces the solution to be about the discrete number of black circles instead of their combined area.)`
	CROSSREFS	`Adjacent-numbered pages: BP312 BP313 BP314 BP315 BP316 * BP318 BP319 BP320 BP321 BP322`
	KEYWORD	`nice, traditional`
	CONCEPT	`inside (info \| search),` `dot (info \| search),` `proportional (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

The numbers of dots can be put into a sequence of consecutive numbers vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP313 BP314 BP315 BP316 BP317 * BP319 BP320 BP321 BP322 BP323`
	KEYWORD	`nice, traditional`
	CONCEPT	`size_increase_decrease (info \| search),` `iteration (info \| search),` `number (info \| search),` `ordinal_orering (info \| search),` `dot (info \| search),` `sequence (info \| search)`
	WORLD	`dot_clusters [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

The numbers of dots in the two clusters are approximately equal (log scale) vs. the numbers of dots in the two clusters differ a lot.

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	COMMENTS	`The point is that, on the left, the two groups look about the same to the eye at first glance.` `In left examples the numbers are off by a factor of 7/6 or less vs. in right examples the numbers are off by a factor of 2 or greater.`
	CROSSREFS	`Adjacent-numbered pages: BP315 BP316 BP317 BP318 BP319 * BP321 BP322 BP323 BP324 BP325`
	KEYWORD	`nice, traditional`
	CONCEPT	`numerosity (info \| search),` `similar_number (info \| search),` `similar (info \| search)`
	WORLD	`two_dot_clusters [smaller \| same \| bigger]`
	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`

One outer outline vs. more than one outer outline.

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	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`

All sides are equal vs. all angles are equal.

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	CROSSREFS	`Adjacent-numbered pages: BP323 BP324 BP325 BP326 BP327 * BP329 BP330 BP331 BP332 BP333`
	KEYWORD	`nice, stretch, left-narrow, right-narrow, traditional, finishedexamples, both`
	CONCEPT	`angle (info \| search),` `length_line_or_curve (info \| search),` `same_feature (info \| search),` `same (info \| search)`
	WORLD	`polygon_outline [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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`

One gear turns all vs. no gear turns all.

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	CROSSREFS	`See BP536 for all gears can turn.` `Adjacent-numbered pages: BP331 BP332 BP333 BP334 BP335 * BP337 BP338 BP339 BP340 BP341`
	KEYWORD	`nice, stretch, physics, traditional`
	CONCEPT	`all (info \| search),` `turn_orientation (info \| search),` `every_other (info \| search),` `gear (info \| search),` `on_line_or_curve (info \| search),` `tracing_line_or_curve (info \| search),` `imagined_motion (info \| search),` `motion (info \| search)`
	WORLD	`gears [smaller \| same \| bigger] zoom in left \| zoom in right`
	AUTHOR	`Aaron David Fairbanks`

Black is below upward slopes vs. black is below downward slopes.

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	CROSSREFS	`Adjacent-numbered pages: BP332 BP333 BP334 BP335 BP336 * BP338 BP339 BP340 BP341 BP342`
	KEYWORD	`nice, dual, handed, leftright, updown, blackwhite, traditional`
	CONCEPT	`above_below (info \| search),` `downward_upward (info \| search),` `outlined_filled (info \| search),` `texture (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

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