Requires cultural knowledge, e.g. for specific warning symbols

Adjacent-numbered pages:
BP877 BP878 BP879 BP880 BP881  *  BP883 BP884 BP885 BP886 BP887

easy, abstract, spectrum, anticomputer, subjective, culture, invalid

Thomas Joyce

The use of numbers and pictures are only a distraction.

See BP966 for the version in which the background counts.

Adjacent-numbered pages:
BP884 BP885 BP886 BP887 BP888  *  BP890 BP891 BP892 BP893 BP894

number

Thomas Joyce

Or equivalently, "3 dots within boundary of convex hull vs. not so". - Leo Crabbe, Aug 01 2020

Adjacent-numbered pages:
BP886 BP887 BP888 BP889 BP890  *  BP892 BP893 BP894 BP895 BP896

nice, precise, allsorted, preciseworld

6_dots [smaller | same | bigger]

Cameron Fetter

There is a slight ambiguity here regarding whether a shape could be placed within another shape's hole. This is a question of how one perceives the Problem: are we sliding shapes around on a table in 2D or are we allowed to 'lift' them in 3D space?

Adjacent-numbered pages:
BP887 BP888 BP889 BP890 BP891  *  BP893 BP894 BP895 BP896 BP897

nice, precise, perfect, pixelperfect, help

Leo Crabbe

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 for help.

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

For a non-physics-based solution, "there exists a never-vertically-increasing path starting from the opening to each point in the interior vs. not so." - Aaron David Fairbanks, Aug 01 2020

Adjacent-numbered pages:
BP891 BP892 BP893 BP894 BP895  *  BP897 BP898 BP899 BP900 BP901

nice, handed, updown, physics

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Zane Fry

Another solution is that right examples can be folded down flat onto one isosceles triangle while left examples cannot.

All examples in this Problem feature four isosceles triangles connected by corners and/or edges.

This was conceived as a false solution for BP898.

Adjacent-numbered pages:
BP892 BP893 BP894 BP895 BP896  *  BP898 BP899 BP900 BP901 BP902

precise, allsorted, notso, traditional, preciseworld

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Molly C Klenzak, Aaron David Fairbanks

Which two sides are the long sides and which side is the short side, or equivalently which angles are the wider angles and which angle is the narrower angle, is the only relevant information to consider for each triangle. Triangles are all assumed isosceles and congruent to one another.

All examples in this Problem feature four of these triangles connected by corners and/or edges.

BP897 was conceived as a false solution for this.

Adjacent-numbered pages:
BP893 BP894 BP895 BP896 BP897  *  BP899 BP900 BP901 BP902 BP903

hard, precise, allsorted, notso, math, preciseworld

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Molly C Klenzak

This Problem is related to the four colour theorem.

Adjacent-numbered pages:
BP894 BP895 BP896 BP897 BP898  *  BP900 BP901 BP902 BP903 BP904

hard, nice, math

[smaller | same | bigger]

Jago Collins