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BP859 Black pixel vs. white pixel.
(edit; present; nest [left/right]; search; history)
COMMENTS

This is the "smallest" possible valid Bongard Problem on black and white bitmap images (up to switching sides).

CROSSREFS

Adjacent-numbered pages:
BP854 BP855 BP856 BP857 BP858  *  BP860 BP861 BP862 BP863 BP864

KEYWORD

minimal, blackwhite, perfect, pixelperfect, experimental, funny, unstableworld

WORLD

black_or_white_pixel [smaller | same | bigger]
zoom in left (black_pixel) | zoom in right (white_pixel)

AUTHOR

Aaron David Fairbanks

BP860 Finitely many copies of the shape can be arranged such that they are locked together vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

This is a generalisation of BP861.

Adjacent-numbered pages:
BP855 BP856 BP857 BP858 BP859  *  BP861 BP862 BP863 BP864 BP865

KEYWORD

hard, nice, stub, precise, stretch, unstable, hardsort, challenge, creativeexamples, perfect, pixelperfect

CONCEPT tiling (info | search)

WORLD

fill_shape [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP861 Shape can be combined with a copy of itself such that they are locked together vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

See BP860 for the more general version of this solution.

Adjacent-numbered pages:
BP856 BP857 BP858 BP859 BP860  *  BP862 BP863 BP864 BP865 BP866

KEYWORD

nice, precise, unstable, perfect, pixelperfect

CONCEPT tiling (info | search)

WORLD

fill_shape [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP862 Human faces vs. other images.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP857 BP858 BP859 BP860 BP861  *  BP863 BP864 BP865 BP866 BP867

KEYWORD

less, teach, anticomputer, culture, experimental

WORLD

black_and_white_photograph [smaller | same | bigger]
zoom in left (black_and_white_face_photograph)

AUTHOR

Leo Crabbe

BP863 Two shapes can tessellate the plane together vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP858 BP859 BP860 BP861 BP862  *  BP864 BP865 BP866 BP867 BP868

KEYWORD

nice, precise, allsorted, math, hardsort, creativeexamples, unorderedpair

CONCEPT infinite_plane (info | search),
tessellation (info | search),
tiling (info | search)

WORLD

2_shapes [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP864 Bongard Problems in which all examples are easy to sort after knowing the solution vs. Bongard Problems in which examples can be hard to sort even after knowing the solution.
BP323
BP335
BP344
BP532
BP853
BP860
BP863
BP1005
BP1006
BP1119
BP1123
BP1132
BP1136
BP1137
BP1245
(edit; present; nest [left/right]; search; history)
COMMENTS

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


Contrast "hardsort" to infodense, where examples have a high amount of information, but perhaps after parsing all the information in the examples it is easy to sort them.


BPs labelled "hardsort" are likely to be labelled hard, but perhaps not--e.g. in BP323 the answer is easy to guess, but laborious to verify.

CROSSREFS

Adjacent-numbered pages:
BP859 BP860 BP861 BP862 BP863  *  BP865 BP866 BP867 BP868 BP869

KEYWORD

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP865 The class of included examples is distractingly irrelevant to the solution vs. not so.
BP965
BP1105
(edit; present; nest [left/right]; search; history)
COMMENTS

Left examples have keyword "distractingworld" on the OEBP.


This is different than the kind of distraction mentioned at noisy, which means there are details that are irrelevant to the solution changing between examples.


To label a BP "distractingworld" is to judge that the type of examples are more specific than should have been necessary to communicate the same general solution idea--this involves separating out which ideas are the nice ideas the BP really ought to have been about, and which ideas seem unimportant and irrelevant. On the other hand, to label a BP "noisy" is just to notice there are extra properties varying that are independent of the solution property.

CROSSREFS

Distractingworld BPs are often arbitrary.

Adjacent-numbered pages:
BP860 BP861 BP862 BP863 BP864  *  BP866 BP867 BP868 BP869 BP870

EXAMPLE

BP1105 was created as an extreme example of this. All images in that BP show the same distractingly detailed background, irrelevant to the solution.

KEYWORD

stub, fuzzy, abstract, subjective, meta (see left/right), links, keyword

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP866 Bongard Problems that admit examples fitting the solution in various creative ways vs. not so.
BP200
BP335
BP344
BP346
BP350
BP351
BP352
BP353
BP354
BP355
BP356
BP357
BP361
BP362
BP372
BP373
BP380
BP548
BP792
BP793
BP796
BP802
BP803
BP805
BP827
BP828
BP829
BP831
BP833
BP834
BP835
BP836
BP843
BP845
BP846

. . .

BP1
BP4
(edit; present; nest [left/right]; search; history)
COMMENTS

Left-sorted Bongard Problems have the keyword "creativeexamples" on the OEBP.

Be encouraged to contribute new interesting examples to Bongard Problems with this keyword.


There is much overlap with the keyword hardsort.



This is what it usually means to say examples fit on (e.g.) the left of a Bongard Problem in various creative ways: there is no (obvious) general method to determine a left-fitting example fits left.


There is a related idea in computability theory: a "non recursively enumerable" property is one that cannot in general be checked by a computer algorithm.

But keep in mind the tag "creativeexamples" is supposed to mean something less formal. For example, it requires no ingenuity for a human being to check when a simple shape is convex or concave (so BP4 is not labelled "creativeexamples"). However, it is not as if we use an algorithm to do this, like a computer. (It is not even clear what an "algorithm" would mean in this context, since it is ambiguous both what class of shapes the Bongard Problem sorts and how that would be encoded into a computer program's input. There are usually many options and ambiguities like this whenever one tries to formalize the content of a Bongard Problem.)

CROSSREFS

Adjacent-numbered pages:
BP861 BP862 BP863 BP864 BP865  *  BP867 BP868 BP869 BP870 BP871

KEYWORD

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP867 Bongard Problem with solution that can be naturally expressed as "___ vs. not so" vs. not so.
BP32
BP77
BP82
BP127
BP243
BP257
BP274
BP288
BP323
BP344
BP376
BP381
BP385
BP390
BP506
BP507
BP515
BP516
BP538
BP541
BP542
BP544
BP545
BP553
BP559
BP569
BP576
BP812
BP816
BP818
BP823
BP825
BP852
BP866
BP867

. . .

BP6

Qat

blimp

notso

(edit; present; nest [left/right]; search; history)
COMMENTS

Left-sorted BPs have the keyword "notso" on the OEBP.


This meta Bongard Problem is about Bongard Problems featuring two rules that are conceptual opposites.


Sometimes both sides could be seen as the "not" side: consider, for example, two definitions of the same Bongard Problem, "shape has hole vs. does not" and "shape is not filled vs. is". It is possible (albeit perhaps unnatural) to phrase the solution either way when the left and right sides partition all possible relevant examples cleanly into two groups (see the allsorted keyword).


When one property is "positive-seeming" and its opposite is "negative-seeming", it usually means the positive property would be recognized without counter-examples (e.g. a collection of triangles will be seen as such), while the negative property wouldn't be recognized without counter-examples (e.g. a collection of "non-triangle shapes" will just be interpreted as "shapes" unless triangles are shown opposite them).


BP513 (keyword left-narrow) is about Bongard Problems whose left side can be recognized without the right side. When a Bongard Problem is left-narrow and not "right-narrow that usually makes the property on the left seem positive and the property on the right seem negative.


The OEBP by convention has preferred the "positive-seeming" property (when there is one) to be on the left side.


All in all, the keyword "notso" should mean:

1) If the Bongard Problem is "narrow" on at least one side, then it is left-narrow.

2) The right side is the conceptual negation of the left side.


If a Bongard Problem's solution is "[Property A] vs. not so", the "not so" side is everything without [Property A] within some suitable context. A Bongard Problem "triangles vs. not so" might only include simple shapes as non-triangles; it need not include images of boats as non-triangles. It is not necessary for all the kitchen sink to be thrown on the "not so" side (although it is here).

CROSSREFS

See BP1001 for a version sorting pictures of Bongard Problems (miniproblems) instead of links to pages on the OEBP. (This version is a little different. In BP1001, the kitchen sink of all other possible images is always included on the right "not so" side, rather than a context-dependent conceptual negation.)


Contrast keyword viceversa.


"[Property A] vs. not so" Bongard Problems are often allsorted, meaning they sort all relevant examples--but not always, because sometimes there exist ambiguous border cases, unclear whether they fit [Property A] or not.

Adjacent-numbered pages:
BP862 BP863 BP864 BP865 BP866  *  BP868 BP869 BP870 BP871 BP872

KEYWORD

notso, meta (see left/right), links, keyword, left-self, funny

WORLD

everything [smaller | same]
zoom in left

AUTHOR

Aaron David Fairbanks

BP868 Images of impossible Bongard Problems vs. images of possible Bongard Problems.
(edit; present; nest [left/right]; search; history)
COMMENTS

This fits on its own left side.

CROSSREFS

See BP821 for the version with links to pages on the OEBP (instead of images of Bongard Problems), of which this fits on the left side.

Adjacent-numbered pages:
BP863 BP864 BP865 BP866 BP867  *  BP869 BP870 BP871 BP872 BP873

KEYWORD

notso, meta (see left/right), miniproblems, example, left-finite, left-full, impossible, experimental, funny, presentationinvariant

CONCEPT impossible (info | search)

WORLD

bpimage [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

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