The On-Line Encyclopedia of Bongard Problems

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BP844

Cars vs. no cars

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	COMMENTS	`Based on Google reCaptcha human verification checks.`
	CROSSREFS	`Adjacent-numbered pages: BP839 BP840 BP841 BP842 BP843 * BP845 BP846 BP847 BP848 BP849`
	KEYWORD	`nice, teach, anticomputer, culture, color, experimental, funny`
	WORLD	`color_street_photograph [smaller \| same \| bigger]`
	AUTHOR	`Cameron Fetter`

BP847

Evokes the idea of symmetry vs. not so.

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	COMMENTS	`Or, perhaps more concretely, "Depiction of object with some symmetry (invariance under transformation) vs. depiction of object with no simple symmetries."`
	CROSSREFS	`Adjacent-numbered pages: BP842 BP843 BP844 BP845 BP846 * BP848 BP849 BP850 BP851 BP852`
	KEYWORD	`nice, fuzzy, abstract, math, concept, collective, dithering`
	CONCEPT	`symmetry (info \| search)`
	AUTHOR	`Leo Crabbe`

BP850

Shape can be maneuvered around the corner vs. not so.

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	REFERENCE	`https://en.wikipedia.org/wiki/Moving_sofa_problem`
	CROSSREFS	`Adjacent-numbered pages: BP845 BP846 BP847 BP848 BP849 * BP851 BP852 BP853 BP854 BP855`
	KEYWORD	`nice, precise, physics, creativeexamples, proofsrequired, left-narrow, right-narrow, dithering`
	CONCEPT	`rotation_required (info \| search),` `imagined_motion (info \| search),` `physically_fitting (info \| search)`
	AUTHOR	`Leo Crabbe`

BP855

Object below ambiguously sorted (not clearly left or right) by Bongard Problem image above vs. object below clearly sorted by Bongard Problem image above.

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	COMMENTS	`Represented are Bongard Problems and an extra object to sort, a.k.a. the Bongard's Dozen format.` `A variety of kinds of ambiguities showcased as left examples.`
	CROSSREFS	`Adjacent-numbered pages: BP850 BP851 BP852 BP853 BP854 * BP856 BP857 BP858 BP859 BP860`
	KEYWORD	`nice, creativeexamples, structure, rules`
	WORLD	`bdimage_shapes_extra_below [smaller \| same \| bigger] zoom in right (bdimage_shapes_extra_below_clear_sort)`
	AUTHOR	`Aaron David Fairbanks`

BP856

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`

BP860

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`

BP861

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`

BP863

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`

BP891

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`

BP892

Black shapes can be arranged such that they fit inside rectangular outline vs. not so.

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	COMMENTS	`There is a slight ambiguity here regarding whether a shape could be placed within another shape's hole. This is a question of how one perceives the Problem: are we sliding shapes around on a table in 2D or are we allowed to 'lift' them in 3D space?`
	CROSSREFS	`Adjacent-numbered pages: BP887 BP888 BP889 BP890 BP891 * BP893 BP894 BP895 BP896 BP897`
	KEYWORD	`nice, precise, perfect, pixelperfect, help`
	CONCEPT	`rotation_required (info \| search),` `physically_fitting (info \| search)`
	AUTHOR	`Leo Crabbe`

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