The On-Line Encyclopedia of Bongard Problems

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BP818

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

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	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`

BP902

This Bongard Problem vs. anything else.

BP902

BP1

becious

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	COMMENTS	`Although this Bongard Problem is self-referential, it's only because of the specific phrasing of the solution. "BP902 vs. anything else" would also work. The number 902 could have been chosen coincidentally.`
	CROSSREFS	`See BP953, BP959.` `Adjacent-numbered pages: BP897 BP898 BP899 BP900 BP901 * BP903 BP904 BP905 BP906 BP907`
	KEYWORD	`notso, meta (see left/right), links, left-self, left-narrow, left-finite, left-full, right-null, right-it, invalid, experimental, funny`
	CONCEPT	`self-reference (info \| search),` `specificity (info \| search)`
	WORLD	`everything [smaller \| same] zoom in left (bp902)`
	AUTHOR	`Leo Crabbe`

BP931

Some number labels its own position in the sequence from left to right vs. not so.

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	COMMENTS	`Right examples are called "derangements".`
	CROSSREFS	`Adjacent-numbered pages: BP926 BP927 BP928 BP929 BP930 * BP932 BP933 BP934 BP935 BP936`
	KEYWORD	`handed, leftright, sequence, traditional, left-listable, right-listable`
	CONCEPT	`number (info \| search),` `dot (info \| search),` `self-reference (info \| search)`
	WORLD	`dot_clusters_sequence_horizontal [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP953

Image of this Bongard Problem vs. empty image.

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	COMMENTS	`"Image of Bongard Problem with solution X vs. empty image" where X is the phrase in quotes.`
	CROSSREFS	`See BP959, BP902.` `Adjacent-numbered pages: BP948 BP949 BP950 BP951 BP952 * BP954 BP955 BP956 BP957 BP958`
	KEYWORD	`nice, precise, meta (see left/right), miniproblems, overriddensolution, right-full, right-null, perfect, infinitedetail, experimental, funny`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`zoom in left (bp953_image) \| zoom in right (blank_image)`
	AUTHOR	`Leo Crabbe`

BP954

Solution could appear in a Bongard Problem that has itself as a panel vs. not so.

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	COMMENTS	`Loosely speaking, examples on the left are "Bongard Problems that can be self-similar". However, Bongard Problems with images of themselves deeply nested in boxes or rotated/flipped are not here considered "self-similar"; the Bongard Problem must use itself, as-is (allowing downward scaling and allowing infinite detail, ignoring pixelation--see keyword infinitedetail), as a panel.` `Bongard Problems fitting left evidently come in three categories: 1) the Bongard Problem could only appear on its own left side, 2) the Bongard Problem could appear on its own right side, or 3) the Bongard Problem could appear on its own left or the right side. See BP987.` `Meta Bongard Problems appearing in BP793 that are presentationinvariant necessarily fit left here.` `All examples here are in the conventional format, i.e. white background, black vertical dividing line, and examples in boxes on either side. (A more general version of this Bongard Problem might allow many formats of Bongard Problems, sorting an image left if a self-similar version is possible having the same solution and format. This more general version would no longer be tagged presentationinvariant, since sorting would not only depend on solution, but also format.)` `It would hint at the solution (keyword help) to only include images of Bongard Problems that, as it stands, are already clearly categorized on one side by themselves. (That is, images of Bongard Problems that belong on one of the two sides of BP793.) It is tricky to come up with images that are categorized by themselves as it stands but that could NOT be recursively included within themselves. EX7967, EX7999, EX7995, and EX6574 are some examples.`
	CROSSREFS	`See BP987 which narrows down the left-hand side of this BP further based on whether or not the BP could contain itself as a panel on both sides.` `Adjacent-numbered pages: BP949 BP950 BP951 BP952 BP953 * BP955 BP956 BP957 BP958 BP959`
	KEYWORD	`hard, abstract, challenge, meta (see left/right), miniproblems, infinitedetail, presentationinvariant, visualimagination`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	AUTHOR	`Leo Crabbe`

BP955

Images of Bongard Problems that sort an image of their left side on their left and an image of their right side on their left vs. images of Bongard Problems that sort an image of their left side on their right and an image of their right side on their right.

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

	CROSSREFS	`See also BP957 for the other two evident possibilities.` `Adjacent-numbered pages: BP950 BP951 BP952 BP953 BP954 * BP956 BP957 BP958 BP959 BP960`
	KEYWORD	`abstract, dual, handed, leftright, solved, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, experimental`
	CONCEPT	`self-reference (info \| search)`
	WORLD	`oblong_boxes_bpimage_sorts_both_sides_skewed [smaller \| same \| bigger] zoom in left (oblong_boxes_bpimage_sorts_both_sides_left) \| zoom in right (oblong_boxes_bpimage_sorts_both_sides_right)`
	AUTHOR	`Leo Crabbe`

BP957

Images of Bongard Problems that sort an image of their left side on their left and an image of their right side on their right vs. images of Bongard Problems that sort an image of their left side on their right and an image of their right side on their left.

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

	CROSSREFS	`See also BP955 for the other two evident possibilities.` `Adjacent-numbered pages: BP952 BP953 BP954 BP955 BP956 * BP958 BP959 BP960 BP961 BP962`
	KEYWORD	`nice, abstract, solved, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, experimental`
	CONCEPT	`self-reference (info \| search)`
	WORLD	`oblong_panels_bpimage_sorts_both_sides_balanced [smaller \| same \| bigger] zoom in left (oblong_panels_bpimage_sorts_both_sides_stay) \| zoom in right (oblong_panels_bpimage_sorts_both_sides_swap)`
	AUTHOR	`Leo Crabbe`

BP959

This image of this Bongard Problem vs. empty image.

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	CROSSREFS	`See BP953, BP902.` `Adjacent-numbered pages: BP954 BP955 BP956 BP957 BP958 * BP960 BP961 BP962 BP963 BP964`
	KEYWORD	`meta (see left/right), miniproblems, left-finite, right-finite, left-full, right-full, right-null, perfect, infinitedetail, finished, experimental, funny`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`zoom in left \| zoom in right (blank_image)`
	AUTHOR	`Aaron David Fairbanks, Leo Crabbe`

BP961

Includes itself on the left vs. includes itself on the right.

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	COMMENTS	`Some examples are Bongard Problems with this solution.`
	CROSSREFS	`Adjacent-numbered pages: BP956 BP957 BP958 BP959 BP960 * BP962 BP963 BP964 BP965 BP966`
	KEYWORD	`nice, precise, dual, handed, leftright, perfect, infinitedetail, both, neither, preciseworld`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP987

Solution could appear in a Bongard Problem featuring an image of itself on either of its sides vs. solution can appear in a Bongard Problem featuring an image of itself on a certain side only.

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

	COMMENTS	`All examples are Bongard Problems fitting left in BP954.` `This is very close to BP927, specialized to Bongard Problems fitting left in BP954. The difference is that a Bongard Problem solution would fit left in BP927 but right here if it can sort images of it on both sides, but it is impossible to make an image of it fractally including itself on a certain side. An example is EX7997.` `Meta Bongard Problems appearing in BP793 that are presentationinvariant necessarily fit right here.`
	CROSSREFS	`Adjacent-numbered pages: BP982 BP983 BP984 BP985 BP986 * BP988 BP989 BP990 BP991 BP992`
	KEYWORD	`abstract, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant, visualimagination`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	AUTHOR	`Leo Crabbe`

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