The On-Line Encyclopedia of Bongard Problems

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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.

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	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`

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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	COMMENTS	`Related to BP380.`
	CROSSREFS	`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`

Vaguely positive vs. vaguely negative

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	COMMENTS	`Requires cultural knowledge, e.g. for specific warning symbols`
	CROSSREFS	`Adjacent-numbered pages: BP877 BP878 BP879 BP880 BP881 * BP883 BP884 BP885 BP886 BP887`
	KEYWORD	`easy, less, abstract, spectrum, anticomputer, subjective, culture, invalid`
	AUTHOR	`Thomas Joyce`

Odd number of enclosed regions vs. even number of enclosed regions.

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	COMMENTS	`The use of numbers and pictures are only a distraction.` `See BP966 for the version in which the background counts.`
	CROSSREFS	`Adjacent-numbered pages: BP884 BP885 BP886 BP887 BP888 * BP890 BP891 BP892 BP893 BP894`
	KEYWORD	`number`
	CONCEPT	`separated_regions (info \| search),` `even_odd (info \| search)`
	AUTHOR	`Thomas Joyce`

Dots can be connected to create one triangle within another vs. not so.

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	COMMENTS	`Or equivalently, "3 dots within boundary of convex hull vs. not so". - Leo Crabbe, Aug 01 2020`
	CROSSREFS	`Adjacent-numbered pages: BP886 BP887 BP888 BP889 BP890 * BP892 BP893 BP894 BP895 BP896`
	KEYWORD	`nice, precise, allsorted, preciseworld`
	CONCEPT	`convex_hull (info \| search),` `triangle (info \| search)`
	WORLD	`6_dots [smaller \| same \| bigger]`
	AUTHOR	`Cameron Fetter`

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