login
Hints
(Greetings from The On-Line Encyclopedia of Bongard Problems!)
Search: +ex:BP1215
Displaying 1-10 of 10 results found.     page 1
     Sort: id      Format: long      Filter: (all | no meta | meta)      Mode: (words | no words)
BP504 BP pages on the OEBP in need of more examples vs. BP pages with a list of examples that should not be altered.
BP860
BP865
BP928
BP954
BP969
BP970
BP981
BP988
BP989
BP993
BP994
BP999
BP1001
BP1082
BP1085
BP1091
BP1098
BP1137
BP1206
BP1207
BP1208
BP1209
BP1210
BP1211
BP1213
BP1214
BP1215
BP1216
BP1217
BP1218
BP1220
BP1221
BP1222
BP1223
BP1224

. . .

BP1
BP2
BP3
BP4
BP5
BP6
BP7
BP8
BP9
BP10
BP11
BP12
BP13
BP14
BP15
BP16
BP17
BP18
BP19
BP20
BP21
BP22
BP23
BP24
BP25
BP26
BP27
BP28
BP29
BP30
BP32
BP33
BP34
BP35
BP36

. . .

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

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

Right-sorted Bongard Problems have the keyword "finished" on the OEBP.


Users are not able to add or remove examples from Problems tagged "finished." (This is unusual; most Bongard Problems on the OEBP can be expanded indefinitely by users.)


A "finished" Bongard Problem will always admit the alternate, convoluted solution "is [left example 1] OR is [left example 2] OR . . . OR is [last left example] vs. is [right example 1] OR is [right example 2] OR . . . OR is [last right example]".

CROSSREFS

Bongard's original Problems are tagged "finished."

Adjacent-numbered pages:
BP499 BP500 BP501 BP502 BP503  *  BP505 BP506 BP507 BP508 BP509

KEYWORD

meta (see left/right), links, keyword, oebp, presentationmatters, left-finite, right-finite, instruction

WORLD

bppage [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 BP can be narrow, e.g. BP6.

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


What seems like a typical example depends on expectations. If one is expecting there to be triangles, the absence of triangles will be noticeable. (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".)


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

BP535 Visual Bongard Problems such that flipping over the vertical axis (left/right) can switch an example's side vs. visual Bongard Problems whose examples' sorting doesn't change under such a transformation.
BP8
BP43
BP67
BP109
BP207
BP234
BP278
BP279
BP313
BP337
BP357
BP363
BP372
BP793
BP795
BP796
BP805
BP830
BP881
BP931
BP955
BP961
BP971
BP1008
BP1014
BP1024
BP1025
BP1027
BP1028
BP1029
BP1030
BP1031
BP1032
BP1033
BP1034

. . .

BP199
BP839
BP896
BP972
BP986
BP1122
(edit; present; nest [left/right]; search; history)
COMMENTS

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

CROSSREFS

See updown.

All "leftright" Bongard Problems are handed.

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

KEYWORD

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

WORLD

handed_visualbp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP552 Orientation-dependent Bongard Problems vs. orientation-independent visual Bongard Problems.
BP7
BP8
BP16
BP36
BP43
BP54
BP55
BP63
BP67
BP106
BP109
BP199
BP207
BP234
BP278
BP279
BP286
BP313
BP337
BP363
BP372
BP793
BP795
BP796
BP805
BP830
BP881
BP896
BP931
BP955
BP961
BP971
BP972
BP1008
BP1014

. . .

BP1
BP2
BP3
BP4
BP5
BP6
BP986
BP1197
BP1199
BP1200
(edit; present; nest [left/right]; search; history)
COMMENTS

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.

CROSSREFS

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

KEYWORD

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

WORLD

visualbp [smaller | same | bigger]
zoom in left (handed_visualbp)

AUTHOR

Aaron David Fairbanks

BP553 Rotation-dependent Bongard Problems vs. rotation-independent visual Bongard Problems.
BP7
BP19
BP36
BP65
BP95
BP106
BP152
BP158
BP199
BP273
BP523
BP551
BP971
BP1014
BP1086
BP1087
BP1213
BP1215
BP1216
BP1218
BP1245
BP16
BP54
BP1122
(edit; present; nest [left/right]; search; history)
COMMENTS

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


If rotating an example about the center can change its sorting the BP is a left example here.


Note that BPs about relative rotation comparisons fit on the right side.

CROSSREFS

See BP872 for the version with pictures of Bongard Problems instead (miniproblems) of links to pages on the OEBP.


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:
BP548 BP549 BP550 BP551 BP552  *  BP554 BP555 BP556 BP557 BP558

KEYWORD

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

WORLD

visualbp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP758 Bongard Problem with solution relating to concept: axis of symmetry vs. Bongard Problem unrelated to this concept.
BP50
BP152
BP265
BP342
BP1206
BP1207
BP1210
BP1213
BP1215
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP753 BP754 BP755 BP756 BP757  *  BP759 BP760 BP761 BP762 BP763

KEYWORD

meta (see left/right), links, metaconcept

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP760 Bongard Problem with solution relating to concept: symmetry (invariance under transformation) vs. Bongard Problem unrelated to this concept.
BP50
BP152
BP172
BP265
BP269
BP342
BP811
BP836
BP847
BP869
BP986
BP1206
BP1207
BP1210
BP1213
BP1215
BP1228
BP1229
BP1230
BP1246
(edit; present; nest [left/right]; search; history)
CROSSREFS

See BP836 for the version with pictures of Bongard Problems instead of links to pages on the OEBP.

Adjacent-numbered pages:
BP755 BP756 BP757 BP758 BP759  *  BP761 BP762 BP763 BP764 BP765

KEYWORD

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

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

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

BP1009 Visual Bongard Problems such that flipping over horizontal axis (up/down) can switch an example's side vs. visual Bongard Problems whose examples' sorting does not change under such a transformation.
BP36
BP199
BP286
BP313
BP337
BP363
BP551
BP896
BP972
BP1008
BP1014
BP1161
BP1213
BP1215
BP1216
BP1217
BP1218
BP1122
(edit; present; nest [left/right]; search; history)
COMMENTS

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

CROSSREFS

See leftright.

All "updown" Problems are handed.

Adjacent-numbered pages:
BP1004 BP1005 BP1006 BP1007 BP1008  *  BP1010 BP1011 BP1012 BP1013 BP1014

KEYWORD

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

WORLD

handed_visualbp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1234 Bongard Problem with solution relating to concept: diagonal vs. Bongard Problem unrelated to this concept.
BP1213
BP1215
BP1216
BP1218
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1229 BP1230 BP1231 BP1232 BP1233  *  BP1235 BP1236 BP1237 BP1238 BP1239

KEYWORD

meta (see left/right), metaconcept

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

    page 1

Welcome | Solve | Browse | Lookup | Recent | Links | Register | Contact
Contribute | Keywords | Concepts | Worlds | Ambiguities | Transformations | Invalid Problems | Style Guide | Goals | Glossary