The On-Line Encyclopedia of Bongard Problems

Search: author:Aaron David Fairbanks

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Bongard Problem requires solver to already be interpreting all examples in a specific way for the answer to seem simple vs. not so.

BP200	BP361	BP362	BP793	BP795	BP796
BP802	BP803	BP827	BP828	BP829	BP831
BP832	BP833	BP834	BP835	BP836	BP852
BP871	BP872	BP873	BP874	BP875	BP876
BP877	BP878	BP879	BP880	BP881	BP894
BP955	BP957	BP968	BP987	BP1024	. . .

BP1

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	COMMENTS	`Left-sorted Bongard Problems have the keyword "assumesfamiliarity" on the OEBP.` `Sometimes all the examples in a Bongard Problem need to be interpreted a certain way for the Bongard Problem to make sense. Only once the representation is understood, the idea seems simple.` `For example, all meta Bongard Problems (Bongard Problems sorting other Bongard Problems) assume the solver interprets the examples as Bongard Problems.` `TO DO: Maybe it is best to stop putting the label "assumesfamiliarity" on all meta-Bongard Problems. There are so many of them. It may be better to only use the "assumesfamiliarity" keyword on meta-BPs for a further assumption than just that all examples are interpreted as Bongard Problems. - Aaron David Fairbanks, Feb 11 2021`
	CROSSREFS	`Many Bongard Problems in which all examples take the same format (keyword structure) assume the solver already knows how to read that format.` `Some Bongard Problems assume the solver will be able to understand symbolism that is consistent between examples (keyword consistentsymbols).` `Bongard Problems tagged math often assume the solver is familiar with a certain representation of a math idea.` `Adjacent-numbered pages: BP1106 BP1107 BP1108 BP1109 BP1110 * BP1112 BP1113 BP1114 BP1115 BP1116`
	EXAMPLE	`BP1032: The solution should really read "Assuming all images are Bongard Problems sorting each natural number left or right ..." This Bongard Problem makes sense to someone who has been solving a series of similar BPs, but otherwise there is no reason to automatically read a collection of numbers as standing for a larger collection of numbers.`
	KEYWORD	`fuzzy, meta (see left/right), links, keyword`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1108

Solid chunk of black space in neighborhood of any point of the fractal vs. solid chunk of white space in any neighborhood.

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

	CROSSREFS	`Adjacent-numbered pages: BP1103 BP1104 BP1105 BP1106 BP1107 * BP1109 BP1110 BP1111 BP1112 BP1113`
	KEYWORD	`right-null, perfect, infinitedetail, assumesfamiliarity, neither`
	CONCEPT	`topological_density (info \| search),` `fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`fractal [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1107

Contains smaller copy of self with black and white inverted vs. not so.

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	COMMENTS	`There are various problematic cases left out. Are black and white to be inverted within a fractal's convex hull or its outermost outline?` `Must this outline be preserved around the smaller inverted version of the fractal, or is it allowed to bleed into other white areas?` `No examples have been included in this Bongard Problem whose placement depends on these questions.`
	CROSSREFS	`Adjacent-numbered pages: BP1102 BP1103 BP1104 BP1105 BP1106 * BP1108 BP1109 BP1110 BP1111 BP1112`
	KEYWORD	`perfect, infinitedetail`
	CONCEPT	`black_white_inversion (info \| search),` `fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`fractal [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1106

Bongard Problem with solution relating to concept: turning black regions white & white regions black vs. Bongard Problem unrelated to this concept.

BP556

BP948

BP1093

BP1107

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	CROSSREFS	`Adjacent-numbered pages: BP1101 BP1102 BP1103 BP1104 BP1105 * BP1107 BP1108 BP1109 BP1110 BP1111`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "black_white_inversion"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1105

Maze object features multiple branching paths vs. one path in maze object.

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	COMMENTS	`This was created as an example of a distractingworld Bongard Problem. Each example shows a distractingly detailed scene, irrelevant to the solution.` `Despite this distraction, the keyword noisy does not fit this Bongard Problem because only details relevant to the solution change between examples.`
	CROSSREFS	`Adjacent-numbered pages: BP1100 BP1101 BP1102 BP1103 BP1104 * BP1106 BP1107 BP1108 BP1109 BP1110`
	KEYWORD	`easy, nice, arbitrary, example, distractingworld, experimental`
	AUTHOR	`Aaron David Fairbanks`

BP1085

More triangles on the right vs. more triangles on the left.

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

	CROSSREFS	`Adjacent-numbered pages: BP1080 BP1081 BP1082 BP1083 BP1084 * BP1086 BP1087 BP1088 BP1089 BP1090`
	KEYWORD	`stub, dual, handed, leftright`
	AUTHOR	`Aaron David Fairbanks`

BP1081

Left is an open subset of the rational numbers vs. not so.

	BP1047^↔	BP1048^↔	BP1050^↔	BP1053^↔	BP1044	BP1045
	BP1046	BP1052

	BP1044^↔	BP1045^↔	BP1046^↔	BP1051^↔	BP1052^↔	BP1054^↔
	BP1047	BP1048	BP1050	BP1051	BP1053	BP1054

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

	CROSSREFS	`Adjacent-numbered pages: BP1076 BP1077 BP1078 BP1079 BP1080 * BP1082 BP1083 BP1084 BP1085 BP1086`
	KEYWORD	`meta (see left/right), links, side, wellfounded`
	CONCEPT	`semidecidable (info \| search),` `finite_infinite (info \| search)`
	WORLD	`outline_or_fill_circle_bp_clear_set_of_ratios [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1079

A left example can be verified to fit left by checking only finitely many layers deep vs. not so.

BP1058^↔	BP1060^↔	BP1061^↔	BP1062^↔	BP1063^↔	BP1065^↔
BP1068^↔	BP1077^↔	BP1058	BP1059	BP1061	BP1066
BP1070

BP1059^↔	BP1066^↔	BP1067^↔	BP1069^↔	BP1070^↔	BP1071^↔
BP1060	BP1062	BP1063	BP1065	BP1067	BP1068
BP1069	BP1071	BP1077

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

	CROSSREFS	`Adjacent-numbered pages: BP1074 BP1075 BP1076 BP1077 BP1078 * BP1080 BP1081 BP1082 BP1083 BP1084`
	KEYWORD	`meta (see left/right), links, side, wellfounded`
	CONCEPT	`semidecidable (info \| search),` `finite_infinite (info \| search)`
	WORLD	`recursive_boxes_bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1078

Bongard Problem with solution relating to concept: semidecidable vs. Bongard Problem unrelated to this concept.

BP1079

BP1081

BP1124

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	CROSSREFS	`Adjacent-numbered pages: BP1073 BP1074 BP1075 BP1076 BP1077 * BP1079 BP1080 BP1081 BP1082 BP1083`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "semidecidable"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1077

All regions have the same number of boxes vs. not so.

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

	CROSSREFS	`Adjacent-numbered pages: BP1072 BP1073 BP1074 BP1075 BP1076 * BP1078 BP1079 BP1080 BP1081 BP1082`
	KEYWORD	`perfect, infinitedetail`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`recursive_boxes [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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