Adjacent-numbered pages:
BP918 BP919 BP920 BP921 BP922  *  BP924 BP925 BP926 BP927 BP928

meta (see left/right), links, metaconcept

bp [smaller | same | bigger]

Leo Crabbe

All examples in this Problem are outlines of convex polygons.

This is a generalisation of scalene triangles to any polygon.

The left side implies the right side of BP329 (regular vs. irregular polygons), but the converse is not true.

The left side of BP329 implies the right side, but the converse is not true.

Adjacent-numbered pages:
BP919 BP920 BP921 BP922 BP923  *  BP925 BP926 BP927 BP928 BP929

Any scalene triangle will fit on the left, because no two sides are equal.

However, any regular polygon will not fit on the left, because all of its sides are equal.

A random convex polygon will "almost surely" fit on the left.

nice, stretch, right-narrow, traditional

polygon_outline [smaller | same | bigger]

Jago Collins

Adjacent-numbered pages:
BP920 BP921 BP922 BP923 BP924  *  BP926 BP927 BP928 BP929 BP930

math, unorderedpair, traditional

two_dot_clusters [smaller | same | bigger]

Aaron David Fairbanks

Adjacent-numbered pages:
BP921 BP922 BP923 BP924 BP925  *  BP927 BP928 BP929 BP930 BP931

nice, math, sequence, traditional, left-listable, right-listable

dot_clusters_sequence_horizontal [smaller | same | bigger]

Aaron David Fairbanks

All examples are Bongard Problems fitting left or right in BP793.

All examples here are in the conventional format, i.e. white background, black vertical dividing line, and examples in boxes on either side.

Border cases are Bongard Problems that always self-sort one way given their particular visual format (e.g. fixed number of boxes), but self-sort a different way in another slightly different format.

Meta Bongard Problems appearing in BP793 that are presentationinvariant necessarily fit right here.

It is interesting to think about how this Bongard Problem sorts itself. The only self-consistent answer is that it fits right.

See BP793 "sorts self left vs. sorts self right".

See BP944 "sorts every BP on one side vs. doesn't".

Adjacent-numbered pages:
BP922 BP923 BP924 BP925 BP926  *  BP928 BP929 BP930 BP931 BP932

hard, solved, presentationinvariant, visualimagination

boxes_bpimage_sorts_self [smaller | same | bigger]
zoom in left (boxes_bpimage_sorts_self_incarnation_dependent) | zoom in right

Aaron David Fairbanks

Adjacent-numbered pages:
BP923 BP924 BP925 BP926 BP927  *  BP929 BP930 BP931 BP932 BP933

notso, math, traditional

Aaron David Fairbanks

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 examples have the keyword "help" on the OEBP.

BPs should be marked "help" when the OEBP wants most examples (at least on one side) to be helpful (not when just one or two uploaded examples are helpful).

Helpfulness can be a spectrum; most Bongard Problems are helpful to some degree just by not using the most convoluted unintelligible examples possible.

Examples that are helpful to people are often not particularly helpful to computers.

Any helpful Bongard Problem has a harder, not helpful version. For example, BP384 (square number of dots versus non-square number of dots) would be much harder if all examples had hundreds of dots that weren't arranged recognizably. Instead, the dots in the examples are always arranged in shapes that make the square-ness or non-square-ness of the numbers easy to check without brute counting.

When all examples in a Bongard Problem are helpful, it may become unclear whether the helpfulness is part of the Bongard Problem's solution.

E.g.: Is the left-hand side of BP384 "square number of dots", or is it "square number of dots that are arranged in a helpful way so as to communicate the square-ness"?

See seemslike, where examples being helpful is an irremovable aspect of the Bongard Problem's solution.

Adjacent-numbered pages:
BP925 BP926 BP927 BP928 BP929  *  BP931 BP932 BP933 BP934 BP935

anticomputer, meta (see left/right), links, keyword, oebp, instruction

bppage [smaller | same | bigger]
zoom in left (help_bp)

Aaron David Fairbanks

Right examples are called "derangements".

Adjacent-numbered pages:
BP926 BP927 BP928 BP929 BP930  *  BP932 BP933 BP934 BP935 BP936

handed, leftright, sequence, traditional, left-listable, right-listable

dot_clusters_sequence_horizontal [smaller | same | bigger]

Aaron David Fairbanks

Complete graphs with zero, one, two, or three vertices would be ambiguously categorized (fit in overlap of both sides).

Left examples are called "fully connected graphs." Right examples are called "cycle graphs."

Adjacent-numbered pages:
BP927 BP928 BP929 BP930 BP931  *  BP933 BP934 BP935 BP936 BP937

precise, left-narrow, right-narrow, both, preciseworld

connected_graph [smaller | same | bigger]

Aaron David Fairbanks