Search: user:Leo Crabbe
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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. |
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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. |
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CROSSREFS
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Adjacent-numbered pages:
BP950 BP951 BP952 BP953 BP954  *  BP956 BP957 BP958 BP959 BP960
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KEYWORD
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abstract, dual, handed, leftright, solved, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, experimental
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CONCEPT
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self-reference (info | search)
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WORLD
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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)
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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 considered "self-similar"; the Bongard Problem must use itself, as-is (allowing downward scaling and ignoring pixelation), as a panel.
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, stub, 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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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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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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BP951 |
| Process described leaves some inputs invariant vs. no output will resemble its input. |
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COMMENTS
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There are many ambiguities here. The solver is expected to determine what things are "allowed" to be inputs for each process. To avoid confusion examples should not be sorted differently if you consider inputting nothing.
In each example there is at least some overlap between the set of possible inputs and the set of possible outputs for each process. If we did not apply this constraint, an easy example to be sorted right would be a process that turns blue shapes red.
A harder-to-read but more clearly defined version of this Problem could include within each example a mini Bongard Problem sorting left all allowed inputs for the process. |
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REFERENCE
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https://en.wikipedia.org/wiki/Fixed_point_(mathematics) |
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CROSSREFS
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Adjacent-numbered pages:
BP946 BP947 BP948 BP949 BP950  *  BP952 BP953 BP954 BP955 BP956
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KEYWORD
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structure, rules, miniworlds
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CONCEPT
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function (info | search)
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AUTHOR
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Leo Crabbe
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BP949 |
| Two unique distances between points vs. three unique distances between points. |
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BP948 |
| Image of Bongard Problem such that pixel-inverting examples flips the solution vs. image of Bongard Problem such that pixel-inverting examples leaves the solution invariant. |
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BP947 |
| BPs where users are advised to only upload images in which the pixelation is not misleading vs. other "perfect" Bongard Problems that use pixelated images to closely approximate the actual intended shapes. |
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COMMENTS
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Left examples have the keyword "pixelperfect" on the OEBP.
All examples here are perfect Bongard Problems. That is, subtle imperfections in images are meant to be considered.
When a Problem is tagged with "pixelperfect", users are reminded to make sure they do not upload images such that taking the pixelation into account would affect the sorting of that example. That is, the zoomed-in jagged blocky version of the picture should still fit the solution.
For example, in the examples of BP335, which is about tessellation, the pixels interlock properly. |
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CROSSREFS
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Stable Bongard Problems are generally pixelperfect.
Adjacent-numbered pages:
BP942 BP943 BP944 BP945 BP946  *  BP948 BP949 BP950 BP951 BP952
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KEYWORD
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meta (see left/right), links, keyword, instruction
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WORLD
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perfect_bp [smaller | same | bigger]
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AUTHOR
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Leo Crabbe
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BP946 |
| Can be constructed using 2 identical copies of an image (full overlapping not allowed) vs. not so. |
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COMMENTS
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"Full overlapping not allowed" means you cannot overlay an image onto itself without moving it; if this were allowed all images would be sorted on the left. The copies can be moved around (translated) in 2D but can not be flipped or rotated.
There are examples on the right drawn with thick lines, and these could be created by copying an image with slightly thinner lines and moving it over a tiny amount. If you fix this issue by saying "the copy has to be moved over more than a tiny amount" then the Bongard Problem is perfect but not precise, but if you fix this issue by saying "interpret the figures as made up of (infinitesimally) thin lines" then it's precise but not perfect. - Aaron David Fairbanks, Jun 17 2023 |
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CROSSREFS
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Adjacent-numbered pages:
BP941 BP942 BP943 BP944 BP945  *  BP947 BP948 BP949 BP950 BP951
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KEYWORD
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nice, notso, creativeexamples
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AUTHOR
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Leo Crabbe
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