All examples in this Problem are groups of 3 dots.

Any example where 2 adjacent dots have the same height would be ambiguously sorted.

Adjacent-numbered pages:
BP553 BP554 BP555 BP556 BP557  *  BP559 BP560 BP561 BP562 BP563

Reading from right to left in the first box on the left hand side: the 2nd dot is higher than the 1st, and the 3rd is higher than the 2nd, so the sequence of dots is strictly increasing in height.

nice, precise, antihuman, orderedtriplet, preciseworld

three_points [smaller | same | bigger]

Leo Crabbe

All examples in this Problem are pairs of straight line segments.

This problem communicates the idea of projected distance, in this case from 2D to 1D (x-axis).

Adjacent-numbered pages:
BP552 BP553 BP554 BP555 BP556  *  BP558 BP559 BP560 BP561 BP562

nice, precise, allsorted, stretch, perfect, unorderedpair, preciseworld

two_segments [smaller | same | bigger]

Leo Crabbe

Left-sorted examples have the keyword "blackwhite" on the OEBP.

Right-sorted examples have the keyword "blackwhiteinvariant" on the OEBP.

All examples are visual Bongard Problems that allow black to touch the bounding box (keyword bordercontent).

Adjacent-numbered pages:
BP551 BP552 BP553 BP554 BP555  *  BP557 BP558 BP559 BP560 BP561

meta (see left/right), links, keyword, invariance, wellfounded

visualbp [smaller | same | bigger]

Leo Crabbe

Although the images here are related to culture (BP521^left), the solution of this Bongard Problem is about the visual style of the images.

Adjacent-numbered pages:
BP550 BP551 BP552 BP553 BP554  *  BP556 BP557 BP558 BP559 BP560

less, culture, experimental

zoom in left (black_and_white_photograph)

Aaron David Fairbanks

Left examples have the keyword "size" on the OEBP.

If applying a scaling to the whole of any example can change its sorting the BP fits on the left side here. (For BPs with bounding boxes means scaling an object appearing in a box within the bounding box.)

Note that BPs about relative size comparisons of multiple objects fit on the right side.

Adjacent-numbered pages:
BP549 BP550 BP551 BP552 BP553  *  BP555 BP556 BP557 BP558 BP559

meta (see left/right), links, keyword, invariance, wellfounded

visualbp [smaller | same | bigger]

Aaron David Fairbanks

Left examples have the keyword "rotate" on the OEBP.

If rotating an example about the center can change its sorting the BP is a left example here.

Note that BPs about relative rotation comparisons fit on the right side.

See BP872 for the version with pictures of Bongard Problems instead (miniproblems) of links to pages on the OEBP.

Bongard Problems tagged "rotate" are usually handed, since any rotation can be created by two reflections. Not necessarily, however, since the reflected step in between might not be sorted on either side by the Bongard Problem.

Adjacent-numbered pages:
BP548 BP549 BP550 BP551 BP552  *  BP554 BP555 BP556 BP557 BP558

notso, meta (see left/right), links, keyword, invariance, wellfounded

visualbp [smaller | same | bigger]

Aaron David Fairbanks

Left examples have the keyword "handed" on the OEBP.

If mirroring any example along the any axis can change its sorting the BP is "handed."

Note that BPs about comparing orientation between multiple things in one example fit on the right side.

See BP871 for the version with pictures of Bongard Problems (miniproblems) instead of links to pages on the OEBP.

The keyword leftright is specifically about flipping over the vertical axis, while the keyword updown is specifically about flipping over the horizontal axis.

Bongard Problems tagged rotate are usually "handed", since any rotation can be created by two reflections. Not necessarily, however, since the reflected step in between might not be sorted on either side by the Bongard Problem.

Adjacent-numbered pages:
BP547 BP548 BP549 BP550 BP551  *  BP553 BP554 BP555 BP556 BP557

meta (see left/right), links, keyword, invariance, wellfounded

visualbp [smaller | same | bigger]
zoom in left (handed_visualbp)

Aaron David Fairbanks

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

Adjacent-numbered pages:
BP546 BP547 BP548 BP549 BP550  *  BP552 BP553 BP554 BP555 BP556

The classic example is a pendulum with a solid rod (instead of a string) which has a stable balance point at the bottom of its swing, where if you move the pendulum slightly it will swing back towards that balanced state. However, theoretically the pendulum can also be balanced pointing directly up. In this case, if you move the pendulum slightly it will swing down away from that upwards balanced state.

updown, rotate, physics, anticomputer, perfect

Jago Collins

Left examples have the keyword "experimental" on the OEBP.

Right examples have the keyword "traditional" on the OEBP.

Experimental BPs push the boundaries of what makes Bongard Problems Bongard Problems.

Traditional BPs show some simple property of black and white pictures. The OEBP is a place with many wild and absurd Bongard Problems, so it is useful to have an easy way to just find the regular old Bongard Problems.

Adjacent-numbered pages:
BP545 BP546 BP547 BP548 BP549  *  BP551 BP552 BP553 BP554 BP555

subjective, meta (see left/right), links, keyword, left-it

bp [smaller | same | bigger]

Aaron David Fairbanks

Right examples have the keyword "convoluted" on the OEBP.

Images of Bongard Problems with convoluted solutions often admit many alternative solutions of similar complexity. In order for one particular convoluted solution to be the simplest solution, it is often necessary to include a large number of examples. A similar issue appears in infodense Bongard Problems.

When a Bongard Problem is too convoluted, a person might find the intended answer but discount it because it seems too convoluted. A solution to a Bongard Problem is unambiguous when it is the least convoluted option by a large margin.

Related to arbitrary.

See BP374 for simple vs. complicated drawings.

Adjacent-numbered pages:
BP544 BP545 BP546 BP547 BP548  *  BP550 BP551 BP552 BP553 BP554

meta (see left/right), links, keyword

bp [smaller | same | bigger]

Aaron David Fairbanks