Left examples are not required to be valid, as long as their solution doesn't apply in the traditional Bongard Problem format (6 panels vs. 6 panels, all one image). Additionally, they do not necessarily have to be rendered invalid by being viewed in the template format, but their solution does have to be altered. In some cases left examples are simply Problems whose solution is specific to the computer medium (BP941), however some examples have more profound solutions that the pen-and-paper template medium is too restrictive to represent (BP854).

See BP568.

Adjacent-numbered pages:
BP938 BP939 BP940 BP941 BP942  *  BP944 BP945 BP946 BP947 BP948

meta (see left/right), links, oebp, time

bp [smaller | same | bigger]

Leo Crabbe

"Any" here means any image of a Bongard Problem in the relevant format, i.e. with white background, black vertical dividing line, and examples in boxes on either side.

All examples shown in this Problem clearly sort themselves on the left or right.

A self-referential but maybe simpler solution is "would sort all examples in this whole Bongard Problem on one of its sides vs. not so." Users adding examples please try to maintain this: for any example you add to the right of this Bongard Problem, make sure it does not sort all the other examples in this Bongard Problem on just one of its sides. - Aaron David Fairbanks, Aug 26 2020

Adjacent-numbered pages:
BP939 BP940 BP941 BP942 BP943  *  BP945 BP946 BP947 BP948 BP949

hard, challenge, presentationinvariant

boxes_bpimage_sorts_self [smaller | same | bigger]
zoom in left | zoom in right

Jago Collins

Adjacent-numbered pages:
BP940 BP941 BP942 BP943 BP944  *  BP946 BP947 BP948 BP949 BP950

precise, allsorted, number, left-null, help, preciseworld

dots [smaller | same | bigger]

Leo Crabbe

"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

Adjacent-numbered pages:
BP941 BP942 BP943 BP944 BP945  *  BP947 BP948 BP949 BP950 BP951

nice, notso, creativeexamples

Leo Crabbe

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.

Stable Bongard Problems are generally pixelperfect.

Adjacent-numbered pages:
BP942 BP943 BP944 BP945 BP946  *  BP948 BP949 BP950 BP951 BP952

meta (see left/right), links, keyword, instruction

perfect_bp [smaller | same | bigger]

Leo Crabbe

See BP556 (keyword blackwhite) for the version with links to pages on the OEBP instead of images of Bongard Problems.

Adjacent-numbered pages:
BP943 BP944 BP945 BP946 BP947  *  BP949 BP950 BP951 BP952 BP953

meta (see left/right), miniproblems, presentationinvariant

Leo Crabbe

Adjacent-numbered pages:
BP944 BP945 BP946 BP947 BP948  *  BP950 BP951 BP952 BP953 BP954

nice, precise, allsorted, stretch, perfect, traditional, preciseworld

3_or_4_points [smaller | same | bigger]

Leo Crabbe

Left-sorted Bongard Problems have the keyword "arbitrary" on the OEBP.

Arbitrary BPs often communicate non-arbitrary ideas. M. M. Bongard's original "A vs. Б" Problem (BP100) is about recognizing letters. A choice of some such arbitrary letters was necessary.

Most Bongard Problems are at least slightly arbitrary. Almost any Bongard Problem could be changed in a number of ways to make slightly different Bongard Problems. When a Bongard Problem is labeled as "arbitrary", that means there is one especially obvious class of similar Bongard Problems, with none of them particularly more interesting or special than any other.

The self-referential (invalid) Bongard Problems BP538, BP545, BP902, BP1073 fit this definition (the solution involves the arbitrary detail of being that specific Bongard Problem instead of any other). On the other hand, the solution idea is not arbitrary when phrased with "this Bongard Problem".

Many "arbitrary" Bongard Problems are of the form "Detail X has arbitrary value A vs. not so" or "Detail X has arbitrary value A vs. detail X has arbitrary value B". Other "arbitrary" Bongard Problems feature arbitrary details that are not the distinction between the sides, e.g. BP545.

It is unclear whether or not we should label a Bongard Problem "arbitrary" if the arbitrarily fixed detail is a notable special case. For example, BP1024 could have been made using any number, but the number 1 is a non-arbitrary number, so the Bongard Problem does not seem so arbitrary.

Similar to thespecificity concept BP (BP773), which is more general, including Bongard Problems relating conceptually in any way to arbitrary specificity.

Adjacent-numbered pages:
BP945 BP946 BP947 BP948 BP949  *  BP951 BP952 BP953 BP954 BP955

meta (see left/right), links, keyword, right-self, sideless

bp [smaller | same | bigger]

Aaron David Fairbanks

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.

https://en.wikipedia.org/wiki/Fixed_point_(mathematics)

Adjacent-numbered pages:
BP946 BP947 BP948 BP949 BP950  *  BP952 BP953 BP954 BP955 BP956

structure, rules, miniworlds

Leo Crabbe

See BP547 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).

Any left example in this BP will be a left example for BP1084.

Adjacent-numbered pages:
BP947 BP948 BP949 BP950 BP951  *  BP953 BP954 BP955 BP956 BP957

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

[smaller | same | bigger]
zoom in left

Leo Crabbe