Search: ex:EX7907
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BP793 |
| Image of a Bongard Problem that would sort itself on its own left versus image of a Bongard Problem that would sort itself on its own right. |
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COMMENTS
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Rhetorical question: Where does this Bongard Problem sort an image of itself?
See BP999 and BP1004 for similar paradoxes.
Bongard Problems fitting left here evidently come in three categories: 1) would sort all Bongard Problems with the same solution left, 2) would sort all Bongard Problems with the same solution right, or 3) would sort some Bongard Problems with the same solution left and some right. See BP927. |
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CROSSREFS
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See BP517 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).
See BP954, which is about Bongard Problems not only sorting themselves, but moreover fractally appearing in themselves as panels.
Adjacent-numbered pages:
BP788 BP789 BP790 BP791 BP792  *  BP794 BP795 BP796 BP797 BP798
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KEYWORD
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hard, nice, abstract, dual, handed, leftright, solved, meta (see left/right), miniproblems, creativeexamples, presentationmatters, assumesfamiliarity, structure, experimental
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WORLD
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boxes_bpimage_sorts_self [smaller | same | bigger] zoom in left (boxes_bpimage_sorts_self_left) | zoom in right (boxes_bpimage_sorts_self_right)
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AUTHOR
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Aaron David Fairbanks
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BP952 |
| Images of Bongard Problems about images of Bongard Problems about images of Bongard Problems vs. images of Bongard Problems not including images of Bongard Problems including images of Bongard Problems. |
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BP953 |
| Image of this Bongard Problem vs. empty image. |
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COMMENTS
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"Image of Bongard Problem with solution X vs. empty image" where X is the phrase in quotes. |
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CROSSREFS
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See BP959, BP902.
Adjacent-numbered pages:
BP948 BP949 BP950 BP951 BP952  *  BP954 BP955 BP956 BP957 BP958
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KEYWORD
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nice, precise, meta (see left/right), miniproblems, overriddensolution, right-full, right-null, perfect, infinitedetail, experimental, funny
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CONCEPT
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fractal (info | search), recursion (info | search), self-reference (info | search)
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WORLD
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zoom in left (bp953_image) | zoom in right (blank_image)
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AUTHOR
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Leo Crabbe
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BP954 |
| Solution could appear in a Bongard Problem that has itself as a panel vs. not so. |
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COMMENTS
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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. |
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CROSSREFS
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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
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KEYWORD
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hard, abstract, challenge, meta (see left/right), miniproblems, infinitedetail, presentationinvariant, visualimagination
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CONCEPT
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fractal (info | search), recursion (info | search), self-reference (info | search)
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AUTHOR
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Leo Crabbe
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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. |
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COMMENTS
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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. |
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CROSSREFS
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Adjacent-numbered pages:
BP982 BP983 BP984 BP985 BP986  *  BP988 BP989 BP990 BP991 BP992
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KEYWORD
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abstract, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant, visualimagination
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CONCEPT
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fractal (info | search), recursion (info | search), self-reference (info | search)
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AUTHOR
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Leo Crabbe
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BP1084 |
| Images of Bongard Problems about images of Bongard Problems vs. images of Bongard Problems not including images of Bongard Problems. |
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