"Allsorted" Bongard Problems (BP875^left) always fit on the left.

Adjacent-numbered pages:
BP875 BP876 BP877 BP878 BP879  *  BP881 BP882 BP883 BP884 BP885

abstract, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant

bpimage_shapes [smaller | same | bigger]
zoom in left

Aaron David Fairbanks

No one object is included on both sides of a dividing line in any example. Left examples when seen as Bongard Problems may either read as "not [right pattern] vs. [right pattern]" or have no unconvoluted solution at all, depending on whether the left side includes any objects that would fit in with the right side.

Adjacent-numbered pages:
BP876 BP877 BP878 BP879 BP880  *  BP882 BP883 BP884 BP885 BP886

abstract, handed, leftright, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant

bpimage_shapes_nosoln_allowed [smaller | same | bigger]

Aaron David Fairbanks

Another way of phrasing the solution: "Neither direction would more naturally be called increase in quantity vs. rightward progression would be called an increase."

Most right examples shown are unboundedly increasing, since finite sequences showing a quantity increasing usually also suggest "distance to end of sequence" as a decreasing opposite quantity. Even so, there are some finite sequences with one direction more intuitively increase-like than the other.

Adjacent-numbered pages:
BP888 BP889 BP890 BP891 BP892  *  BP894 BP895 BP896 BP897 BP898

creativeexamples, structure, rules

constant_change_seq_increase_right [smaller | same | bigger]

Aaron David Fairbanks

One left and one right example with each solution are shown.

This BP is fuzzy for multiple reasons. How obvious it is that an example fits a rule is subjective. Also, somebody could read the simplicity of all included examples as part of a Bongard Problem's solution. For example, the more obvious version of "square number of dots vs. non-square number of dots" could be interpreted as "square small number of dots arranged in easy-to-read way vs. non-square small number of dots arranged in easy-to-read way."

Whether this Bongard Problem solution would categorize an image of itself left or right depends on the difficulty of the solutions of the mini-Problems.

See keyword help.

See keyword hardsort.

Adjacent-numbered pages:
BP889 BP890 BP891 BP892 BP893  *  BP895 BP896 BP897 BP898 BP899

fuzzy, abstract, notso, subjective, meta (see left/right), miniproblems, creativeexamples, presentationmatters, assumesfamiliarity, structure, contributepairs

boxes_bpimage_three_per_side [smaller | same | bigger]

Aaron David Fairbanks

All examples depict a process that transforms one object into another (two example input-output pairs are provided in every panel). In left-sorted examples, each input corresponds to a unique output, whereas in right-sorted examples, different inputs could potentially lead to the same output. There is a sense in which all the processes described on the right "lose" some amount of the input's information.

https://en.wikipedia.org/wiki/Injective_function

Adjacent-numbered pages:
BP912 BP913 BP914 BP915 BP916  *  BP918 BP919 BP920 BP921 BP922

nice, abstract, creativeexamples, structure, rules, miniworlds

Leo Crabbe

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

Adjacent-numbered pages:
BP950 BP951 BP952 BP953 BP954  *  BP956 BP957 BP958 BP959 BP960

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

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)

Leo Crabbe

Adjacent-numbered pages:
BP952 BP953 BP954 BP955 BP956  *  BP958 BP959 BP960 BP961 BP962

nice, abstract, solved, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, experimental

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)

Leo Crabbe

"Invalid Bongard Problems" are images that look sort of like Bongard Problems but aren't actually Bongard Problems.

With many examples included, this Problem might be placed somewhere to nonverbally show someone the subtler rules about what is allowed and what isn't allowed in Bongard Problems.

See BP829 for the Bongard Problem about Bongard Problems with no clear solution.

See BP522 (flipped) for a version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).

See BP829 (flipped) for a near exact copy of this Bongard Problem idea but that does not include images with two of the same boxes on either side.

Also see BP1080, which includes various different formats of Bongard Problems, distinguishing them from arbitrary images that are not Bongard Problems.

Adjacent-numbered pages:
BP963 BP964 BP965 BP966 BP967  *  BP969 BP970 BP971 BP972 BP973

teach, meta (see left/right), miniproblems, assumesfamiliarity, structure

Jago Collins

All examples show grids of squares with an image in each square, such that there is some "rule" the images within the grid obey. The "rule" can be about how the images relate to their neighbors, it can involve the position of the images in the grid, and it can involve properties of the grid considered as a whole. One square from somewhere along the edge of the grid is removed.

Intentionally left out of this Problem (shown above sorted ambiguously) are cases in which the rule is not possible to deduce without seeing more squares. Due to this choice to omit those kinds of examples from the right, another acceptable solution to this Problem is "it is possible to deduce the contents of the missing square once the underlying rule is understood vs. not so."

Adjacent-numbered pages:
BP974 BP975 BP976 BP977 BP978  *  BP980 BP981 BP982 BP983 BP984

structure, rules, miniworlds

grid_of_images_with_rule_one_on_edge_missing [smaller | same | bigger]

Aaron David Fairbanks