The On-Line Encyclopedia of Bongard Problems

Search: author:Leo Crabbe

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BP850

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

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

	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`

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`

BP821

Impossible Bongard Problems vs. possible Bongard Problems.

BP821

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	COMMENTS	`Bongard Problems sorted left have the keyword "impossible" on the OEBP.` `"Impossible Bongard Problem" is a loose term, but it roughly means the Bongard Problem solution idea can't be displayed as an image.` `BP868, the version of this whose examples are images of Bongard Problems (miniproblems), rather than links to pages on the OEBP, is impossible. - Aaron David Fairbanks, Jul 29 2020`
	CROSSREFS	`See overriddensolution for solutions that Bongard Problems can have, but that will not be chosen by a reasonable person as the best solution.` `Adjacent-numbered pages: BP816 BP817 BP818 BP819 BP820 * BP822 BP823 BP824 BP825 BP826`
	KEYWORD	`meta (see left/right), links, keyword, right-self`
	CONCEPT	`impossible (info \| search)`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP818

Dot's position within square is center of square's position within panel vs. not so.

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

	COMMENTS	`All examples in this problem are dots inside square outlines.`
	CROSSREFS	`Similar to BP1122 (the "fractal" version).` `Adjacent-numbered pages: BP813 BP814 BP815 BP816 BP817 * BP819 BP820 BP821 BP822 BP823`
	KEYWORD	`nice, notso, boundingbox, absoluteposition`
	CONCEPT	`bounding_box (info \| search),` `self-reference (info \| search),` `center (info \| search),` `distance_from_center (info \| search)`
	WORLD	`point_inside_square [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP817

Bongard Problems with solution relating to concept: cross section vs. Bongard Problem unrelated to this concept.

BP559

BP816

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	COMMENTS	`Bongard Problems with solutions related to cross sections of 3D shapes.`
	CROSSREFS	`Adjacent-numbered pages: BP812 BP813 BP814 BP815 BP816 * BP818 BP819 BP820 BP821 BP822`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "cross_section"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP816

Cross section of a cylinder vs. not cross section of a cylinder

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

	CROSSREFS	`Adjacent-numbered pages: BP811 BP812 BP813 BP814 BP815 * BP817 BP818 BP819 BP820 BP821`
	KEYWORD	`precise, notso, stretch, unstable, perfect`
	CONCEPT	`cross_section (info \| search)`
	WORLD	`fill_shapes [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP799

Position-independent Bongard Problems where positioning varies vs. position-independent Bongard Problems where positioning is consistent

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

	COMMENTS	`All examples in this Problem are position-independent Bongard Problems.` `Positioning here includes objects' positions within the panels and objects' positions relative to each other.` `There are very subtle distinctions to be made between the usage of variance of position in these BPs for the sake of noise (obscuring the solution eg. BP557), clarity (generalising the solution to make it more fundamental eg. BP79) or help (aiding the observer in finding the solution eg. BP334). There is certainly a degree of overlap between these three definitions, they are not disconnected.`
	CROSSREFS	`Adjacent-numbered pages: BP794 BP795 BP796 BP797 BP798 * BP800 BP801 BP802 BP803 BP804`
	KEYWORD	`meta (see left/right), links`
	AUTHOR	`Leo Crabbe`

BP787

Ordered pairwise comparison Bongard Problems vs. unordered pairwise comparison Bongard Problems

	BP36	BP38	BP103	BP106	BP165	BP175
	BP348	BP386	BP900

BP57	BP59	BP104	BP229	BP238	BP305
BP312	BP319	BP358	BP377	BP378	BP557
BP809	BP810	BP822	BP863	BP922	BP925
BP935	BP937	BP1087	BP1094	BP1110	BP1114
BP1115	BP1131	BP1256

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

	COMMENTS	`Left examples have the keyword "orderedpair" on the OEBP.` `Right examples have the keyword "unorderedpair" on the OEBP.` `Pairwise comparison Bongard Problems in which the two objects are of two fixed different types are always sorted left here. - Aaron David Fairbanks, Aug 22 2020`
	CROSSREFS	`Adjacent-numbered pages: BP782 BP783 BP784 BP785 BP786 * BP788 BP789 BP790 BP791 BP792`
	KEYWORD	`meta (see left/right), links, keyword`
	AUTHOR	`Leo Crabbe`

BP569

Triangular number of dots vs. non-triangular number of dots

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	COMMENTS	`All examples in this Problem are groups of black dots.` `The nth triangular number is the sum over the natural numbers from 1 to n, where n > 0. Note: 0 is the 0th triangular number. The first few triangular numbers are 0, 1, 3 (= 1+2) and 6 (= 1+2+3)`
	CROSSREFS	`Adjacent-numbered pages: BP564 BP565 BP566 BP567 BP568 * BP570 BP571 BP572 BP573 BP574`
	KEYWORD	`nice, precise, allsorted, notso, number, math, left-narrow, left-null, help, preciseworld`
	WORLD	`dots [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP565

Bongard Problems that are hard for humans to solve but easier for computers to solve vs. Bongard Problems that are hard for computers to solve but easier for humans to solve.

BP100	BP170	BP190	BP193	BP197	BP199
BP235	BP237	BP252	BP331	BP349	BP373
BP382	BP524	BP551	BP565	BP812	BP839
BP844	BP862	BP869	BP882	BP930	BP939
BP1002	BP1004	BP1092	BP1110	BP1260

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

	COMMENTS	`Left examples have the keyword "antihuman" on the OEBP.` `Right examples have the keyword "anticomputer" on the OEBP.` `Easy abstract Bongard Problems are typically anticomputer Bongard Problems.`
	CROSSREFS	`See keyword help for Bongard Problems that can be made easier for humans to solve by the selection of helpful examples.` `Adjacent-numbered pages: BP560 BP561 BP562 BP563 BP564 * BP566 BP567 BP568 BP569 BP570`
	KEYWORD	`spectrum, anticomputer, meta (see left/right), links, keyword, right-self, viceversa`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

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