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BP1159 Bongard Problems where examples are only sorted left if nothing indicates that they would be sorted right vs. vice-versa.
BP250
BP333
BP525
BP823
BP1230
BP1183
(edit; present; nest [left/right]; search; history)
COMMENTS

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

Right-sorted Bongard Problems have the keyword "right-couldbe".


In a "couldbe" Bongard Problem, some relevant information is left out by the way objects are displayed. Solutions to "left-couldbe" BPs sound like "Could be a ___ vs. definitely not a ___" (and vice versa for "right-couldbe" BPs.)



To put it in mathematical jargon, there is a "projection" function from objects to pictures, such that objects satisfying property X are mapped to the same picture as objects not satisfying property X. Sorted on the "couldbe" side is the image (under projection) of the collection of objects satisfying property X.


Furthermore, usually X is a relatively narrow criterion, so that most objects do not satisfy it (see keywords left-narrow and right-narrow), and all pictures are in the image (under projection) of the collection of objects not satisfying property X.

REFERENCE

Consider BP525, "Cropped image of a circle vs. not so." None of the left-hand examples are definitely an image of a circle, but they fit left because nothing indicates that they are not an image of a circle. A more pedantic solution to this Bongard Problem would be "There is a way of cropping a circle that gives this image vs. there isn't."

CROSSREFS

See also the keyword seemslike, where neither side can be confirmed.


Either "left-couldbe" or "right-couldbe" implies notso.


Although the descriptions of "left-couldbe" and "right-couldbe" sound similar to left-unknowable and right-unknowable, they are not the same. It is the difference between a clear absence of information and perpetual uncertainty about whether there is more information to be found.


"Left-couldbe" is usually left-narrow and "right-couldbe" usually right-narrow.

Adjacent-numbered pages:
BP1154 BP1155 BP1156 BP1157 BP1158  *  BP1160 BP1161 BP1162 BP1163 BP1164

KEYWORD

dual, meta (see left/right), links, keyword, side, viceversa

AUTHOR

Leo Crabbe

BP1160 Visual Bongard Problems that would sort an all-black panel on the left vs. visual Bongard Problems that would sort an all-black panel on the right.
BP211
BP966
BP1008
BP1161
BP962
BP1089
BP1151
BP1168
(edit; present; nest [left/right]; search; history)
COMMENTS

Note that most traditional Bongard Problems don't sort an all black-panel at all.

See BP567 (left-null versus right-null) for the version about all-white panels, which is more often applicable.

CROSSREFS

Adjacent-numbered pages:
BP1155 BP1156 BP1157 BP1158 BP1159  *  BP1161 BP1162 BP1163 BP1164 BP1165

KEYWORD

meta (see left/right), links, side, testexample

AUTHOR

Leo Crabbe

BP1162 Bongard Problem with solution that can be naturally phrased as "___ vs. vice versa" vs. not so.
BP28
BP29
BP36
BP37
BP38
BP43
BP45
BP46
BP47
BP48
BP49
BP53
BP63
BP65
BP67
BP68
BP76
BP79
BP196
BP211
BP565
BP830
BP971
BP972
BP1124
BP1159
BP1254
BP1
BP170
BP331
BP1004
BP1044
BP1046
BP1162
(edit; present; nest [left/right]; search; history)
COMMENTS

Bongard Problems sorted left obtain the keyword "viceversa" on the OEBP.

CROSSREFS

Contrast the keyword notso.


"Viceversa" BPs are often dual.


The solution to a less-than/greater-than quantity comparison Bongard Problem (keyword spectrum) where the two sides divide the spectrum in half can be phrased as "closer to left end of spectrum than right end vs. vice versa." Whether this is a natural way to phrase the solution depends on the kind of quantity being compared.

Here are some examples of spectra for which the "vice versa" phrasing tends to seem natural: left vs. right, up vs. down, black vs. white, higher quantity of [thing type 1] vs. higher quantity of [thing type 2].

Adjacent-numbered pages:
BP1157 BP1158 BP1159 BP1160 BP1161  *  BP1163 BP1164 BP1165 BP1166 BP1167

KEYWORD

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

AUTHOR

Aaron David Fairbanks

BP1164 Visual Bongard Problems where stretching (or compressing) any sorted example renders the example unsortable vs. visual Bongard Problems where some example can be stretched along some axis and remain sorted.
BP834
BP1062
BP1097
BP1105
BP1138
BP1155
BP95
BP1145
(edit; present; nest [left/right]; search; history)
COMMENTS

Left-sorted Problems often have a specific format or deal with specific geometric shapes.


Almost any Problem that sorts the all-white or all-black panels will be sorted right.

CROSSREFS

Adjacent-numbered pages:
BP1159 BP1160 BP1161 BP1162 BP1163  *  BP1165 BP1166 BP1167 BP1168 BP1169

KEYWORD

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

WORLD

visualbp [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP1165 Visual Bongard Problems where all possible sorted examples share a specific black region vs. not so.
BP159
BP244
BP294
BP303
BP314
BP315
BP316
BP346
BP376
BP505
BP790
BP791
BP801
BP805
BP825
BP839
BP850
BP927
BP934
BP944
BP1105
BP1157
BP1184
BP211
BP337
BP359
BP972
BP1149
BP1153
BP1161
(edit; present; nest [left/right]; search; history)
CROSSREFS

Any miniproblems BP with all examples in the same format will be sorted left.

See also the keyword structure.

Adjacent-numbered pages:
BP1160 BP1161 BP1162 BP1163 BP1164  *  BP1166 BP1167 BP1168 BP1169 BP1170

KEYWORD

notso, meta (see left/right), links

WORLD

visualbp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1166 Visual Bongard Problems whose sorted examples all have a nonzero minimum amount of black in them vs. other visual Bongard Problems.
BP301
BP1072
BP1147
BP1149
BP1153
BP1155
BP1156
BP1168
BP1161
(edit; present; nest [left/right]; search; history)
COMMENTS

Not all visual Bongard Problems whose examples all have some amount of black in them are sorted left. In left-sorted BPs, there must be some concrete percentage of black that is exceeded by every sorted example.

CROSSREFS

Adjacent-numbered pages:
BP1161 BP1162 BP1163 BP1164 BP1165  *  BP1167 BP1168 BP1169 BP1170 BP1171

KEYWORD

meta (see left/right), links

AUTHOR

Leo Crabbe

BP1167 Visual Bongard Problems whose sorted examples all have the same amount of black and white in them vs. other visual Bongard Problems.
BP285
BP801
BP934
BP1017
BP1056
BP1155
BP1156
BP284
BP1089
(edit; present; nest [left/right]; search; history)
CROSSREFS

All left BPs would be tagged finishedexamples.

Adjacent-numbered pages:
BP1162 BP1163 BP1164 BP1165 BP1166  *  BP1168 BP1169 BP1170 BP1171 BP1172

KEYWORD

precise, notso, meta (see left/right), links, sideless

AUTHOR

Leo Crabbe

BP1169 Visual Bongard Problems where flipping over the horizontal axis (up/down) renders any example unsortable vs. visual Bongard Problems where some example can be flipped over the horizontal axis and remain sorted.
BP1157
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1164 BP1165 BP1166 BP1167 BP1168  *  BP1170 BP1171 BP1172 BP1173 BP1174

KEYWORD

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

AUTHOR

Leo Crabbe

BP1170 Meta Bongard Problems of the form "[transformation] applied to any example renders it unsortable vs. some example can remain sorted after [transformation]" vs. other meta Bongard Problems.
BP1142
BP1144
BP1164
BP1169
BP1171
BP1172
BP1173
(edit; present; nest [left/right]; search; history)
COMMENTS

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


An example could be unsortable because it does not conform to the format of all the examples in the Bongard Problem, or it could be formatted like the other examples but be treated ambiguously by the solution. It seems the Bongard Problems currently labeled "problemkiller" mostly deal with examples becoming unsortable because they no longer conform to the format. (The examples become unsortable because they leave the "world" of the Bongard Problem. See https://www.oebp.org/world.php .) - Aaron David Fairbanks, Jun 15 2023

CROSSREFS

"Problemkiller" Bongard Problems are notso Bongard Problems.


See keyword invariance, which is about transformations making some example switch sides rather than transformations making all examples unsortable.

Adjacent-numbered pages:
BP1165 BP1166 BP1167 BP1168 BP1169  *  BP1171 BP1172 BP1173 BP1174 BP1175

KEYWORD

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

WORLD

linksbp [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP1171 Visual Bongard Problems where switching black and white in any sorted example renders the example unsortable vs. visual Bongard Problems where some example can have its colours inverted and remain sorted.
BP5
BP962
(edit; present; nest [left/right]; search; history)
COMMENTS

Most visual BPs will be sorted left by this problem, as examples usually have white backgrounds by default.

CROSSREFS

Adjacent-numbered pages:
BP1166 BP1167 BP1168 BP1169 BP1170  *  BP1172 BP1173 BP1174 BP1175 BP1176

KEYWORD

meta (see left/right), links, sideless, right-narrow, problemkiller

AUTHOR

Leo Crabbe

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