The On-Line Encyclopedia of Bongard Problems

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BP853

Prime knot vs. composite knot.

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

	REFERENCE	`https://en.wikipedia.org/wiki/Prime_knot`
	CROSSREFS	`Adjacent-numbered pages: BP848 BP849 BP850 BP851 BP852 * BP854 BP855 BP856 BP857 BP858`
	KEYWORD	`math, hardsort`
	CONCEPT	`knot (info \| search)`
	WORLD	`knot [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP854

Nothing vs. nothing.

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

	CROSSREFS	`Adjacent-numbered pages: BP849 BP850 BP851 BP852 BP853 * BP855 BP856 BP857 BP858 BP859`
	KEYWORD	`left-finite, right-finite, left-full, right-full, finished, experimental, funny`
	WORLD	`nothing [same \| bigger] zoom in left (nothing) \| zoom in right (nothing)`
	AUTHOR	`Aaron David Fairbanks`

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.

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

	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.

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

	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`

BP857

Bongard Problems with solution relating to concept: collision of objects vs. Bongard Problems unrelated to this concept.

BP358

BP856

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

	CROSSREFS	`Adjacent-numbered pages: BP852 BP853 BP854 BP855 BP856 * BP858 BP859 BP860 BP861 BP862`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "collision"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP858

Bongard Problems whose examples might be used to teach the rule of the solution vs. other Bongard Problems.

BP100	BP844	BP862	BP968	BP981	BP1049
BP1080	BP1083	BP1090	BP1153	BP1271	BP1282
BP1284

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

	COMMENTS	`Left examples have the keyword "teach" on the OEBP.` `Sometimes instead of gauging somebody's ability to guess the pattern, a Bongard Problem might teach the pattern.` `Consider a Bongard Problem whose left examples are images of a specific person's face; after seeing that Problem, one might be able to recognize that person.` `A "teach" Bongard Problem (with a huge number of examples) could be taken as a training set for machine learning.` `"Teach" BPs tend to be convoluted, arbitrary, cultural-knowledge-based (keyword culture), or they illustrate some insight that might be overlooked, perhaps mathematical (keyword math).`
	CROSSREFS	`Adjacent-numbered pages: BP853 BP854 BP855 BP856 BP857 * BP859 BP860 BP861 BP862 BP863`
	KEYWORD	`meta (see left/right), links, keyword`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP859

Black pixel vs. white pixel.

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

	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`

BP860

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

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

	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.

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

	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`

BP862

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`

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