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BP503 "Nice" Bongard Problems vs. Bongard Problems the OEBP does not need more like.
BP1
BP2
BP3
BP4
BP5
BP6
BP7
BP8
BP9
BP11
BP12
BP15
BP16
BP20
BP23
BP30
BP32
BP33
BP50
BP51
BP57
BP59
BP62
BP70
BP71
BP72
BP74
BP76
BP77
BP85
BP97
BP98
BP100
BP106
BP108

. . .

BP213
BP214
BP221
BP231
BP237
BP262
BP538
BP545
BP548
BP555
BP570
BP801
BP862
BP882
BP915
BP920
BP941
BP1000
BP1008
BP1042
BP1043
BP1129
BP1150
(edit; present; nest [left/right]; search; history)
COMMENTS

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

Right-sorted Bongard Problems have the keyword "less." They are not necessarily "bad," but we do not want more like them.

CROSSREFS

Adjacent-numbered pages:
BP498 BP499 BP500 BP501 BP502  *  BP504 BP505 BP506 BP507 BP508

KEYWORD

subjective, meta (see left/right), links, keyword, oebp, right-finite, left-it, feedback, time

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP513 Bongard Problems whose left examples could stand alone vs. the right side is necessary to communicate what the left side is.
BP1
BP31
BP50
BP328
BP334
BP345
BP356
BP373
BP384
BP386
BP559
BP569
BP850
BP856
BP902
BP922
BP932
BP935
BP937
BP988
BP989
BP999
BP1004
BP1005
BP1006
BP1011
BP1049
BP1080
BP1086
BP1093
BP1098
BP1109
BP1110
BP1145
BP1147

. . .

?
BP544
(edit; present; nest [left/right]; search; history)
COMMENTS

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


Call a rule "narrow" if it is likely to be noticed in a large collection of examples, without any counterexamples provided.


A collection of triangles will be recognized as such; "triangles" is a narrow rule. A collection of non-triangular shapes will just be seen as "shapes"; "not triangles" is not narrow.


Intuitively, a narrow rule seems small in comparison to the space of other related possibilities. Narrow rules tend to be phrased positively ("is [property]"), while non-narrow rules opposite narrow rules tend to be phrased negatively ("is not [property]").


Both sides of a Bongard Problem can be narrow, e.g. BP6.

Even a rule and its conceptual opposite can be narrow, e.g. BP20.

A Bongard Problem such that one side is narrow and the other side is the non-narrow opposite reads as the narrow side being a subset of the other. See BP881.


What seems like a typical example depends on expectations. (See the keyword assumesfamiliarity for Bongard Problems that require the solver to go in with special expectations.)

A person might notice the absence of triangles in a collection of just polygons, because a triangle is such a typical example of a polygon. On the other hand, a person will probably not notice the absence of 174-gons in a collection of polygons.


Typically, any example fitting a narrow rule can be changed slightly to no longer fit. (This is not always the case, however. Consider the narrow rule "is approximately a triangle".) See the keyword stable.


It is possible for a rule to be "narrow" (communicable by a properly chosen collection of examples) but not clearly communicated by a particular collection of examples satisfying it, e.g., a collection of examples that is too small to communicate it.


Note that this is not just BP514 (right-narrow) flipped.



Is it possible for a rule to be such that some collections of examples do bring it to mind, but no collection of examples unambiguously communicates it as the intended rule? Perhaps there is some border case the rule excludes, but it is not clear whether the border case was intentionally left out. The border case's absence would likely become more conspicuous with more examples (assuming the collection of examples naturally brings this border case to mind).

CROSSREFS

See BP830 for a version with pictures of Bongard Problems (miniproblems) instead of links.

Adjacent-numbered pages:
BP508 BP509 BP510 BP511 BP512  *  BP514 BP515 BP516 BP517 BP518

KEYWORD

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP514 Bongard Problems whose right examples could stand alone vs. the left side is necessary to communicate what the right side is.
BP4
BP31
BP328
BP334
BP345
BP347
BP359
BP373
BP829
BP850
BP922
BP924
BP932
BP1049
BP1171
BP1213
BP1216
BP1219
?
BP544
(edit; present; nest [left/right]; search; history)
COMMENTS

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


This sorts Bongard Problems based on how BP513 (left-narrow) would sort them if they were flipped; see that page for a description.

CROSSREFS

Adjacent-numbered pages:
BP509 BP510 BP511 BP512 BP513  *  BP515 BP516 BP517 BP518 BP519

KEYWORD

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP587 Bongard Problem with solution relating to concept: angle vs. Bongard Problem unrelated to this concept.
BP17
BP32
BP33
BP77
BP262
BP328
BP329
BP354
BP1266
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP582 BP583 BP584 BP585 BP586  *  BP588 BP589 BP590 BP591 BP592

KEYWORD

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

CONCEPT This MBP is about BPs that feature concept: "angle"

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP659 Bongard Problem with solution relating to concept: length of lines or curves vs. Bongard Problem unrelated to this concept.
BP14
BP79
BP80
BP103
BP112
BP131
BP151
BP155
BP176
BP235
BP237
BP239
BP241
BP243
BP256
BP257
BP279
BP280
BP314
BP328
BP939
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP654 BP655 BP656 BP657 BP658  *  BP660 BP661 BP662 BP663 BP664

KEYWORD

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

CONCEPT This MBP is about BPs that feature concept: "length_line_or_curve"

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP748 Bongard Problem with solution relating to concept: sameness (equality) of feature vs. Bongard Problem unrelated to this concept.
BP56
BP77
BP80
BP103
BP112
BP124
BP189
BP190
BP238
BP239
BP257
BP328
BP329
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP743 BP744 BP745 BP746 BP747  *  BP749 BP750 BP751 BP752 BP753

KEYWORD

meta (see left/right), links, metaconcept

CONCEPT This MBP is about BPs that feature concept: "same_feature"

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP752 Bongard Problem with solution relating to concept: sameness (equality) vs. Bongard Problem unrelated to this concept.
BP35
BP39
BP56
BP57
BP58
BP61
BP77
BP80
BP91
BP103
BP112
BP124
BP125
BP128
BP137
BP140
BP141
BP142
BP143
BP145
BP169
BP189
BP190
BP195
BP238
BP239
BP244
BP257
BP259
BP281
BP293
BP303
BP305
BP324
BP328

. . .

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

Adjacent-numbered pages:
BP747 BP748 BP749 BP750 BP751  *  BP753 BP754 BP755 BP756 BP757

KEYWORD

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

CONCEPT This MBP is about BPs that feature concept: "same"

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP1112 "Stretch-dependent" Bongard Problems vs. Bongard Problems in which examples can be stretched (or compressed) along any axis without being sorted differently.
BP7
BP11
BP12
BP13
BP33
BP50
BP62
BP76
BP77
BP80
BP103
BP152
BP250
BP289
BP328
BP329
BP333
BP335
BP336
BP523
BP525
BP536
BP557
BP559
BP812
BP813
BP816
BP860
BP920
BP924
BP942
BP949
BP1011
BP1086
BP1145

. . .

BP1
BP5
BP15
BP31
BP45
BP98
BP157
BP240
BP322
BP327
BP330
BP331
BP332
BP348
BP363
BP367
BP368
BP369
BP389
BP809
BP810
BP851
BP853
BP911
BP966
BP977
BP992
BP1022
BP1094
BP1131
BP1135
BP1136
(edit; present; nest [left/right]; search; history)
COMMENTS

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


If applying a scaling along one particular axis to the whole of any example can change its sorting the BP fits on the left side here. (For BPs with bounding boxes this means scaling and cropping, but without cutting out any detail.)

CROSSREFS

Adjacent-numbered pages:
BP1107 BP1108 BP1109 BP1110 BP1111  *  BP1113 BP1114 BP1115 BP1116 BP1117

KEYWORD

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

WORLD

[smaller | same | bigger]

AUTHOR

Leo Crabbe

BP1142 Bongard Problems where there is no way to turn an example into any other sorted example by adding black OR white (not both) vs. Bongard Problems where some example can be altered in this way and remain sorted.
BP285
BP304
BP328
BP329
BP342
BP801
BP934
BP1017
BP1056
BP1104
BP1145
BP1155
BP1156
BP1223
BP1269
BP859
BP962
(edit; present; nest [left/right]; search; history)
COMMENTS

Left-sorted problems have the keyword "finishedexamples" on the OEBP.


The addition does not have to be slight.


Left-sorted Problems usually have a very specific collection of examples, where the only images sorted all show the same type of object.


Any Bongard Problem where all examples are one shape outline will be sorted left, and (almost) any Bongard Problem where all examples are one fill shape will be sorted right.

CROSSREFS

See BP1144 for the version about both additions and erasures, and only slight changes are considered.


See BP1167 for a stricter version, the condition that all examples have the same amount of black and white.

Adjacent-numbered pages:
BP1137 BP1138 BP1139 BP1140 BP1141  *  BP1143 BP1144 BP1145 BP1146 BP1147

KEYWORD

unwordable, notso, meta (see left/right), links, keyword, sideless, problemkiller

AUTHOR

Leo Crabbe

BP1188 Bongard Problems where there exists an overlap between the collections shown left and right vs. other Bongard Problems.
BP328
BP339
BP345
BP932
BP961
BP1213
BP1
(edit; present; nest [left/right]; search; history)
COMMENTS

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


The archetypal example is "rhombuses vs. rectangles".


Notice "rhombuses vs. rectangles" could alternatively be interpreted as "not rectangles vs. not rhombuses"; by this less natural interpretation, a square would fit on neither side (keyword neither) rather than both.


In fact, for any Bongard Problem solution "A vs. B", there are three alternative solution descriptions: "A vs. not A", "not B vs. B", and "not B vs. not A". These are not necessarily just different wordings of the same answer. For example, "rhombuses vs. not rhombuses" and "not rectangles vs. rectangles" differ on where they would sort a square. (This discrepancy between "A vs. not A" and "B vs. not B" occurs whenever "A vs. B" does not sort all relevant cases. See the keyword allsorted.)


"Is a rhombus" and "is a rectangle" are what are on the OEBP called "narrow" patterns, while "is not a rectangle" and "is not a rhombus" are not. (See keywords left-narrow and right-narrow for more explanation.)

CROSSREFS

The keywords both and allsorted are mutually exclusive.

Adjacent-numbered pages:
BP1183 BP1184 BP1185 BP1186 BP1187  *  BP1189 BP1190 BP1191 BP1192 BP1193

KEYWORD

meta (see left/right), links, keyword

AUTHOR

Aaron David Fairbanks

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