Left examples have no solution, but they do not break the rules in ways so extreme that it is plainly impossible for them to have a solution, such as including the same image on both sides or including no images per side. (See such as including the same image on both sides or including no images per side.

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

See BP968 (flipped) for a version of this Bongard Problem including examples of invalid Bongard Problems that don't even admit a convoluted solution (the same image appears on both sides).

Also see BP1080, which is similar to BP968, but including various different formats of Bongard Problems, distinguishing them from arbitrary images that are not Bongard Problems.

Adjacent-numbered pages:
BP824 BP825 BP826 BP827 BP828  *  BP830 BP831 BP832 BP833 BP834

nice, meta (see left/right), miniproblems, creativeexamples, left-unknowable, right-narrow, assumesfamiliarity, structure, help, presentationinvariant

boxes_bpimage_three_per_side_nosoln_allowed [smaller | same | bigger]
zoom in right (boxes_bpimage_three_per_side)

Aaron David Fairbanks

Right examples are Bongard Problems in which the left hand side is enough to communicate the full answer.

No examples shown have right side with multiple rules and left side narrowing down the answer.

Adjacent-numbered pages:
BP826 BP827 BP828 BP829 BP830  *  BP832 BP833 BP834 BP835 BP836

hard, meta (see left/right), miniproblems, creativeexamples, presentationmatters, assumesfamiliarity, structure, contributepairs

boxes_bpimage_three_per_side [smaller | same | bigger]

Aaron David Fairbanks

"Specific object" we mean the same connected figure (up to movement around the box). It is ambiguous whether a scaled, rotated, or reflected version of an object would be considered "the same object" because no examples on either side are forced to deal with that subtlety in their respective solutions.

Adjacent-numbered pages:
BP827 BP828 BP829 BP830 BP831  *  BP833 BP834 BP835 BP836 BP837

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

[smaller | same | bigger]

Aaron David Fairbanks

All examples are "object present vs. object absent" Problems.

Adjacent-numbered pages:
BP828 BP829 BP830 BP831 BP832  *  BP834 BP835 BP836 BP837 BP838

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

[smaller | same | bigger]

Aaron David Fairbanks

When removal of a box changes the solution, it cannot remove the old solution; it can only allow more possible new solutions. Conversely, adding boxes can only narrow down between existing solutions.

Adjacent-numbered pages:
BP829 BP830 BP831 BP832 BP833  *  BP835 BP836 BP837 BP838 BP839

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

boxes_bpimage_three_per_side [smaller | same | bigger]

Aaron David Fairbanks

"Tiling" is placing shapes next to each other without overlap to fill up space or other shapes.

See BP706 for the version with links to pages on the OEBP instead of images of Bongard Problems.

Adjacent-numbered pages:
BP830 BP831 BP832 BP833 BP834  *  BP836 BP837 BP838 BP839 BP840

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

boxes_bpimage_three_per_side [smaller | same | bigger]

Aaron David Fairbanks

Every Bongard Problem on the left shows invariance under some transformation in left sub-examples.

Some Bongard Problems on the right are symmetrical or have sub-examples that are symmetrical.

See BP760 for the version with links to pages on the OEBP instead of images of Bongard Problems.

Adjacent-numbered pages:
BP831 BP832 BP833 BP834 BP835  *  BP837 BP838 BP839 BP840 BP841

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

boxes_bpimage_three_per_side [smaller | same | bigger]

Aaron David Fairbanks

Note this is not actually the limit of each infinitesimal pixel assembled into an image. For example in a sequence of halvings the limit value is never reached, so the bottom pixel would never change color and thus its limit would not would not either.

Sequences progress from left to right (and there is not usually a way to intuitively extend the sequence in the other direction).

Adjacent-numbered pages:
BP847 BP848 BP849 BP850 BP851  *  BP853 BP854 BP855 BP856 BP857

notso, creativeexamples, perfect, infinitedetail, assumesfamiliarity, structure, contributepairs, rules

Aaron David Fairbanks

In particular, horizontal reflections work in all left examples.

An image of this Bongard Problem would fit on the left.

See BP552 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).

Adjacent-numbered pages:
BP866 BP867 BP868 BP869 BP870  *  BP872 BP873 BP874 BP875 BP876

hard, abstract, challenge, meta (see left/right), miniproblems, creativeexamples, presentationmatters, infodense, assumesfamiliarity, structure

bpimage_shapes [smaller | same | bigger]

Aaron David Fairbanks

See BP553 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).

Adjacent-numbered pages:
BP867 BP868 BP869 BP870 BP871  *  BP873 BP874 BP875 BP876 BP877

hard, challenge, meta (see left/right), miniproblems, creativeexamples, presentationmatters, assumesfamiliarity, structure

bpimage_shapes [smaller | same | bigger]

Aaron David Fairbanks