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

See updown.

All "leftright" Bongard Problems are handed.

Adjacent-numbered pages:
BP530 BP531 BP532 BP533 BP534  *  BP536 BP537 BP538 BP539 BP540

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

handed_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

Left-sorted Problems have the keyword "left-listable" on the OEBP.

All the possible left examples for the BPs on the left side of this problem could be listed in one infinite sequence. Right examples here are Problems for which no such sequence can exist.

This depends on deciding what images should be considered "the same thing", which is subjective and context-dependent.

All examples in this Bongard Problem have an infinite left side (they do not have the keyword left-finite).

The mathematical term for a set that can be organized into an infinite list is a "countably infinite" set, as opposed to an "uncountably infinite" set.

Another related idea is a "recursively enumerable" a.k.a. "semi-decidable" set, which is a set that a computer program could list the members of.

The keyword "left-listable" is meant to be for the more general idea of a countable set, which does not have to do with computer algorithms.

Note that this is not just BP940 (right-listable) flipped.

It seems in practice, Bongard Problems that are left-listable are usually also right-listable because the whole class of relevant examples is listable. A keyword for just plain "listable" may be more useful. Or instead keywords for left- versus right- semidecidability, in the sense of computing. - Aaron David Fairbanks, Jan 10 2023

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

See left-finite, which distinguishes between a finite left side and infinite left side.

"Left-listable" BPs are typically precise.

Adjacent-numbered pages:
BP558 BP559 BP560 BP561 BP562  *  BP564 BP565 BP566 BP567 BP568

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

bp_infinite_left_examples [smaller | same | bigger]
zoom in right (left_uncountable_bp)

Leo Crabbe

Adjacent-numbered pages:
BP667 BP668 BP669 BP670 BP671  *  BP673 BP674 BP675 BP676 BP677

meta (see left/right), links, metaconcept, primitive

bp [smaller | same | bigger]

Harry E. Foundalis

Adjacent-numbered pages:
BP674 BP675 BP676 BP677 BP678  *  BP680 BP681 BP682 BP683 BP684

meta (see left/right), links, metaconcept, primitive

bp [smaller | same | bigger]

Harry E. Foundalis

Adjacent-numbered pages:
BP686 BP687 BP688 BP689 BP690  *  BP692 BP693 BP694 BP695 BP696

meta (see left/right), links, metaconcept, primitive, left-it, feedback

bp [smaller | same | bigger]

Harry E. Foundalis

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

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

Zero, one, or two objects may technically form a sequence, but if ALL examples of a BP have zero, one, or two objects, we do not consider that BP to be about sequences. BPs about fixed two-object sequences are ordered pairwise comparison BPs, orderedpair.

The world of this Bongard Problem is BP928.

See also grid versus fixedgrid.

Adjacent-numbered pages:
BP924 BP925 BP926 BP927 BP928  *  BP930 BP931 BP932 BP933 BP934

meta (see left/right), links, keyword

sequence_visualbp [smaller | same | bigger]

Aaron David Fairbanks

Left-sorted Problems have the keyword "right-listable" on the OEBP.

BPs are sorted based on how BP563 (left-listable) would sort them were they flipped; see that page for a description.

See right-finite, which distinguishes between finite right side and infinite right side.

Adjacent-numbered pages:
BP935 BP936 BP937 BP938 BP939  *  BP941 BP942 BP943 BP944 BP945

meta (see left/right), links, keyword

bp_infinite_right_examples [smaller | same | bigger]
zoom in right (right_uncountable_bp)

Leo Crabbe

Examples sorted by this problem need to be Bongard Problems with some multiple disconnected shapes in them that are formatted in some way.

Problems do not necessarily need symbols to recur across examples to be sorted left.

Right-sorted Problems usually vary their object "language" across examples to emphasise the generality of their solution. Every example in these problems would be thought of as having its own intuitive "world".

TO DO: Figure out whether to implement the prerequisite "You must easily be able to think of a way that a sorted problem could be redrawn such that its sorting in this Problem would switch." This restriction would eliminate problems like BP121 from being sorted, for example, as its solution hinges on the consistency of the symbols across examples. The keyword consistentsymbols already describes problems like this. This also eliminates problems like BP998 from sorting.

TO DO: Should this problem's world be changed from "Formatted object comparison BPs" to "object comparison BPs"? This would allow for some nice Problems like BP841 to be sorted, but may make things too broad.

Adjacent-numbered pages:
BP1173 BP1174 BP1175 BP1176 BP1177  *  BP1179 BP1180 BP1181 BP1182 BP1183

meta (see left/right), links

Leo Crabbe