The On-Line Encyclopedia of Bongard Problems

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Compound shape would hit the dot if rotated vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP851 BP852 BP853 BP854 BP855 * BP857 BP858 BP859 BP860 BP861`
	KEYWORD	`nice, precise, allsorted, left-narrow, preciseworld`
	CONCEPT	`imagined_motion (info \| search),` `collision (info \| search)`
	AUTHOR	`Leo Crabbe`

Black pixel vs. white pixel.

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	COMMENTS	`This is the "smallest" possible valid Bongard Problem on black and white bitmap images (up to switching sides).`
	CROSSREFS	`Adjacent-numbered pages: BP854 BP855 BP856 BP857 BP858 * BP860 BP861 BP862 BP863 BP864`
	KEYWORD	`minimal, blackwhite, perfect, pixelperfect, experimental, funny, unstableworld`
	WORLD	`black_or_white_pixel [smaller \| same \| bigger] zoom in left (black_pixel) \| zoom in right (white_pixel)`
	AUTHOR	`Aaron David Fairbanks`

Finitely many copies of the shape can be arranged such that they are locked together vs. not so.

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	CROSSREFS	`This is a generalisation of BP861.` `Adjacent-numbered pages: BP855 BP856 BP857 BP858 BP859 * BP861 BP862 BP863 BP864 BP865`
	KEYWORD	`hard, nice, stub, precise, stretch, unstable, hardsort, challenge, creativeexamples, perfect, pixelperfect`
	CONCEPT	`tiling (info \| search)`
	WORLD	`fill_shape [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

Shape can be combined with a copy of itself such that they are locked together vs. not so.

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	CROSSREFS	`See BP860 for the more general version of this solution.` `Adjacent-numbered pages: BP856 BP857 BP858 BP859 BP860 * BP862 BP863 BP864 BP865 BP866`
	KEYWORD	`nice, precise, unstable, perfect, pixelperfect`
	CONCEPT	`tiling (info \| search)`
	WORLD	`fill_shape [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

Human faces vs. other images.

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

	CROSSREFS	`Adjacent-numbered pages: BP857 BP858 BP859 BP860 BP861 * BP863 BP864 BP865 BP866 BP867`
	KEYWORD	`less, teach, anticomputer, culture, experimental`
	WORLD	`black_and_white_photograph [smaller \| same \| bigger] zoom in left (black_and_white_face_photograph)`
	AUTHOR	`Leo Crabbe`

Two shapes can tessellate the plane together vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP858 BP859 BP860 BP861 BP862 * BP864 BP865 BP866 BP867 BP868`
	KEYWORD	`nice, precise, allsorted, math, hardsort, creativeexamples, unorderedpair`
	CONCEPT	`infinite_plane (info \| search),` `tessellation (info \| search),` `tiling (info \| search)`
	WORLD	`2_shapes [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

Images of impossible Bongard Problems vs. images of possible Bongard Problems.

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	COMMENTS	`This fits on its own left side.`
	CROSSREFS	`See BP821 for the version with links to pages on the OEBP (instead of images of Bongard Problems), of which this fits on the left side.` `Adjacent-numbered pages: BP863 BP864 BP865 BP866 BP867 * BP869 BP870 BP871 BP872 BP873`
	KEYWORD	`less, notso, meta (see left/right), miniproblems, example, left-finite, left-full, impossible, experimental, funny, presentationinvariant`
	CONCEPT	`impossible (info \| search)`
	WORLD	`bpimage [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Approximately symmetric vs. asymmetric.

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	COMMENTS	`Or, "evokes idea of symmetry (see BP760) vs. not so," which is also a solution for BP847. - Aaron David Fairbanks, Jul 29 2020`
	CROSSREFS	`Adjacent-numbered pages: BP864 BP865 BP866 BP867 BP868 * BP870 BP871 BP872 BP873 BP874`
	KEYWORD	`abstract, spectrum, anticomputer, subjective, concept, perfect`
	CONCEPT	`imperfection_small (info \| search),` `symmetry (info \| search)`
	AUTHOR	`Leo Crabbe`

Increasing quantity has upper bound (will get "stopped" by something) vs. not so.

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	CROSSREFS	`See BP352 for a version about lower bounds.` `Related to BP380.` `Adjacent-numbered pages: BP865 BP866 BP867 BP868 BP869 * BP871 BP872 BP873 BP874 BP875`
	KEYWORD	`creativeexamples, structure, rules`
	WORLD	`constant_change_seq_increase_right [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

A reflection can switch an object's sorting vs. not so.

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	COMMENTS	`In particular, horizontal reflections work in all left examples.` `An image of this Bongard Problem would fit on the left.`
	CROSSREFS	`See BP552 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).` `Adjacent-numbered pages: BP866 BP867 BP868 BP869 BP870 * BP872 BP873 BP874 BP875 BP876`
	KEYWORD	`hard, abstract, challenge, meta (see left/right), miniproblems, creativeexamples, presentationmatters, infodense, assumesfamiliarity, structure`
	WORLD	`bpimage_shapes [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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