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BP534 Bongard Problems such that potential left examples can intuitively be put in bijection with potential right examples vs. other Bongard Problems.
BP7
BP8
BP19
BP36
BP43
BP45
BP54
BP55
BP63
BP64
BP67
BP95
BP106
BP109
BP157
BP158
BP180
BP196
BP197
BP211
BP234
BP278
BP279
BP286
BP313
BP337
BP357
BP363
BP372
BP513
BP514
BP515
BP516
BP517
BP793

. . .

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

This is the keyword "dual" on the OEBP.

Given an example there is some way to "flip sides" by altering it. The left-to-right and right-to-left transformations should be inverses.


It is not required that there only be one such transformation. For example, for many handed Bongard Problem, flipping an example over any axis will reliably switch its sorting.


It is not required that every left example must have its corresponding right example uploaded on the OEBP nor vice versa. See the keyword contributepairs for the BPs the OEBP advises users upload left and right examples for in pairs.

CROSSREFS

Adjacent-numbered pages:
BP529 BP530 BP531 BP532 BP533  *  BP535 BP536 BP537 BP538 BP539

KEYWORD

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

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

BP537 Meta Bongard Problems vs. other Bongard Problems.
BP200
BP501
BP503
BP504
BP506
BP507
BP508
BP509
BP510
BP511
BP512
BP513
BP514
BP515
BP516
BP517
BP518
BP519
BP520
BP521
BP522
BP526
BP534
BP535
BP537
BP539
BP541
BP542
BP544
BP546
BP547
BP549
BP550
BP552
BP553

. . .

BP1
BP2
BP3
BP4
BP5
BP6
BP7
BP8
BP9
BP10
(edit; present; nest [left/right]; search; history)
COMMENTS

Bongard Problems sorted left have the keyword "meta" on the OEBP.


Meta Bongard Problems are Bongard Problems that sort Bongard Problems. Sometimes abbreviated MBPs.


The first meta Bongard Problem was BP200.


Some meta BP pages sort images of Bongard Problems (keyword miniproblems), while other meta BP pages sort other BP pages (keyword links).

CROSSREFS

BPs that sort meta-BPs are labelled metameta.

Adjacent-numbered pages:
BP532 BP533 BP534 BP535 BP536  *  BP538 BP539 BP540 BP541 BP542

KEYWORD

meta (see left/right), links, keyword, world, left-self, sideless, metameta, left-full, feedback

CONCEPT recursion (info | search)

WORLD

bp [smaller | same | bigger]
zoom in left (linksbp)

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

BP895 Meta Bongard Problems that sort Bongard Problems based on other information than just their solutions (e.g. what format the Bongard Problem is, or what specific examples are shown in it) vs. Meta Bongard Problems that sort Bongard Problems purely based on solution.
BP504
BP793
BP795
BP802
BP803
BP827
BP831
BP834
BP871
BP872
BP894
BP1150
BP200
BP796
BP829
BP830
BP832
BP833
BP835
BP836
BP868
BP873
BP874
BP875
BP876
BP877
BP878
BP879
BP880
BP881
BP895
BP927
BP944
BP948
BP952
BP954
BP987
BP1024
BP1025
BP1026
BP1027
BP1028
BP1029
BP1030
BP1031
BP1032
BP1033

. . .

?
BP828
(edit; present; nest [left/right]; search; history)
COMMENTS

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

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


Meta Bongard problems that sort Bongard Problems purely based on their solutions usually have two versions in the database: one that sorts images of Bongard Problems and one that sorts links to pages on the OEBP. If both versions exist, users should make them cross-reference one another. (Meta Bongard Problems that sort images of Bongard Problems have the keyword miniproblems, whereas meta Bongard Problems that sort links to OEBP pages have the keyword links.)


For meta-pages on the OEBP that sort other pages on the OEBP (keyword links), "presentationmatters" means factoring in content like the BP number, the currently uploaded examples, the wording of the title, the description, and so on, rather than just the solution (that is, how the page would sort all potential examples). This is unusual.


"One solution vs. multiple solutions" (BP828) seems like a border-case. It is about solutions, but it only makes sense for images of Bongard Problems with particular examples. - Aaron David Fairbanks, Aug 01 2020

CROSSREFS

See BP1010 (projectionmatters versus 3d) for a similar idea: there 2D representations are to 3D objects as here Bongard Problems are to Bongard Problem solutions.

Adjacent-numbered pages:
BP890 BP891 BP892 BP893 BP894  *  BP896 BP897 BP898 BP899 BP900

KEYWORD

fuzzy, meta (see left/right), links, keyword, right-self, sideless, metameta, right-it, dependence, presentationinvariant

WORLD

metabp [smaller | same | bigger]

AUTHOR

Jago Collins

BP919 BP Pages on the OEBP where users are advised to upload left examples and right examples in pairs vs. other BP Pages.
BP197
BP332
BP349
BP360
BP373
BP389
BP392
BP393
BP528
BP532
BP533
BP805
BP827
BP830
BP831
BP842
BP845
BP846
BP848
BP852
BP894
BP903
BP912
BP939
BP941
BP998
BP1049
BP1183
BP919
(edit; present; nest [left/right]; search; history)
COMMENTS

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


When this keyword is added to a Problem, OEBP users are advised to add a corresponding right example for every left example they add and vice versa.


It is common for Bongard Problems to present left examples on the left side and corresponding altered versions of those examples on the right side, tweaked only slightly, to highlight the difference and make the solution easier to see (see keyword help).


This is common in more abstract Bongard Problems that admit a wide range of examples, a variety of different styles or types (e.g. BP360). Showing two versions of the same thing, one on the left and one on the right, helps a person interpret what that thing is meant to be in the context of the Bongard Problem; whatever qualities vary between the two in the pair must be relevant.


If a person cannot sort an example according to the solution property without seeing its corresponding opposite example, the Bongard Problem is invalid (see https://www.oebp.org/invalid.php ). There is no one rule dividing the sides; the solution is not a method to determine whether an arbitrary example fits left or right. See also Bongard Problems with the keyword collective, which are similarly borderline-invalid.


A BP in which each left example corresponds to a right example and vice versa could be remade as a Bongard Problem in which the left examples are the pairs. For example BP360 would turn into "a pair consisting of the ordered version of something and the chaotic version of the same thing vs. a pair of things not satisfying this relationship." This process would turn a Bongard Problem that is invalid in the sense described above into a valid one.

(See keyword orderedpair.)


In some "contributepairs" Bongard Problems there really is a natural choice of left version for every right example and vice versa (see keyword dual); in others the choice is artificially imposed by the Bongard Problem creator.


When "contributepairs" Bongard Problems are laid out in the format with a grid of boxes on either side of a dividing line, the boxes may be arranged so as to highlight the correspondence: either


A B | A B

E F | E F

G H | G H


or


A B | B A

E F | F E

G H | H G.

CROSSREFS

Adjacent-numbered pages:
BP914 BP915 BP916 BP917 BP918  *  BP920 BP921 BP922 BP923 BP924

KEYWORD

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

WORLD

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

AUTHOR

Aaron David Fairbanks

BP1126 Meta Bongard Problems in which examples are pages on the OEBP vs. meta Bongard Problems in which examples are pictures of Bongard Problems.
BP501
BP503
BP504
BP506
BP507
BP508
BP509
BP510
BP511
BP512
BP513
BP514
BP515
BP516
BP517
BP518
BP519
BP520
BP521
BP522
BP526
BP534
BP535
BP537
BP539
BP541
BP542
BP544
BP546
BP547
BP549
BP550
BP552
BP553
BP554

. . .

BP200
BP793
BP795
BP796
BP802
BP803
BP827
BP828
BP829
BP830
BP831
BP832
BP833
BP834
BP835
BP836
BP868
BP871
BP872
BP873
BP874
BP875
BP876
BP877
BP878
BP879
BP880
BP881
BP894
BP948
BP952
BP953
BP954
BP955
BP957

. . .

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

Bongard Problems sorted left have the keyword "links" on the OEBP.

Bongard Problems sorted right have the keyword "miniproblems" on the OEBP.


The keyword "links" is automatically added to a Bongard Problem on the OEBP if a BP number is added as an example.


Meta Bongard problems that sort Bongard Problems purely based on their solutions (keyword presentationmatters) usually have two versions in the database: one that sorts images of Bongard Problems and one that sorts links to pages on the OEBP. If both versions exist, users should make them cross-reference one another.

CROSSREFS

All the examples of miniature Bongard Problems within any meta Bongard Problem tagged "miniproblems" would fit left on BP1080 (which is a showcase of the various formats for images of Bongard Problems).

Adjacent-numbered pages:
BP1121 BP1122 BP1123 BP1124 BP1125  *  BP1127 BP1128 BP1129 BP1130 BP1131

KEYWORD

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

WORLD

metabp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

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

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