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

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.

CROSSREFS

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

KEYWORD

hard, nice, abstract, dual, handed, leftright, solved, meta (see left/right), miniproblems, creativeexamples, presentationmatters, assumesfamiliarity, structure, experimental

WORLD

boxes_bpimage_sorts_self [smaller | same | bigger]
zoom in left (boxes_bpimage_sorts_self_left) | zoom in right (boxes_bpimage_sorts_self_right)

AUTHOR

Aaron David Fairbanks

BP954 Solution could appear in a Bongard Problem that has itself as a panel vs. not so.
(edit; present; nest [left/right]; search; history)
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

BP1083 Image of Bongard Problem where each left example corresponds intuitively to a right example vs. image of Bongard Problem whose examples do not share this correlation.
(edit; present; nest [left/right]; search; history)
CROSSREFS

See BP919 for the version with links to pages on the OEBP instead of images of Bongard Problems.

Adjacent-numbered pages:
BP1078 BP1079 BP1080 BP1081 BP1082  *  BP1084 BP1085 BP1086 BP1087 BP1088

KEYWORD

teach, meta (see left/right), miniproblems, presentationinvariant

WORLD

boxes_bpimage [smaller | same | bigger]

AUTHOR

Leo Crabbe

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