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BP561 Meta Bongard Problems fitting in their own world vs. other meta Bongard Problems.
BP561
(edit; present; nest [left/right]; search; history)
COMMENTS

This prompts thinking about left-self and right-self keywords.

CROSSREFS

Adjacent-numbered pages:
BP556 BP557 BP558 BP559 BP560  *  BP562 BP563 BP564 BP565 BP566

KEYWORD

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

WORLD

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

AUTHOR

Aaron David Fairbanks

BP560 There exists a closed trail that hits each edge exactly once vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

Left examples are called "Eulerian graphs."


A connected graph is Eulerian if and only if each vertex is incident to an even number of edges.

CROSSREFS

Adjacent-numbered pages:
BP555 BP556 BP557 BP558 BP559  *  BP561 BP562 BP563 BP564 BP565

KEYWORD

precise, allsorted, math, traditional, preciseworld

CONCEPT graph (info | search),
distinguishing_crossing_curves (info | search),
all (info | search),
even_odd (info | search),
existence (info | search)

WORLD

connected_graph [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP555 Black and white photograph versus drawing.
(edit; present; nest [left/right]; search; history)
COMMENTS

Although the images here are related to culture (BP521left), the solution of this Bongard Problem is about the visual style of the images.

CROSSREFS

Adjacent-numbered pages:
BP550 BP551 BP552 BP553 BP554  *  BP556 BP557 BP558 BP559 BP560

KEYWORD

less, culture, experimental

WORLD

zoom in left (black_and_white_photograph)

AUTHOR

Aaron David Fairbanks

BP554 Size-dependent Bongard Problems vs. size-independent visual Bongard Problems.
BP2
BP14
BP1122
BP38
(edit; present; nest [left/right]; search; history)
COMMENTS

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


If applying a scaling to the whole of any example can change its sorting the BP fits on the left side here. (For BPs with bounding boxes means scaling an object appearing in a box within the bounding box.)


Note that BPs about relative size comparisons of multiple objects fit on the right side.

CROSSREFS

Adjacent-numbered pages:
BP549 BP550 BP551 BP552 BP553  *  BP555 BP556 BP557 BP558 BP559

KEYWORD

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

WORLD

visualbp [smaller | same | bigger]

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

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

BP550 Experimental Bongard Problems vs. traditional-style Bongard Problems.
BP195
BP200
BP300
BP359
BP538
BP544
BP545
BP548
BP555
BP570
BP793
BP795
BP797
BP801
BP812
BP813
BP844
BP854
BP859
BP862
BP868
BP902
BP911
BP915
BP920
BP939
BP941
BP942
BP953
BP955
BP957
BP959
BP1008
BP1056
BP1073

. . .

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
BP31
BP32
BP33
BP34
BP35

. . .

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

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

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


Experimental BPs push the boundaries of what makes Bongard Problems Bongard Problems.


Traditional BPs show some simple property of black and white pictures. The OEBP is a place with many wild and absurd Bongard Problems, so it is useful to have an easy way to just find the regular old Bongard Problems.

CROSSREFS

Adjacent-numbered pages:
BP545 BP546 BP547 BP548 BP549  *  BP551 BP552 BP553 BP554 BP555

KEYWORD

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP549 Bongard Problems with simple solutions vs. Bongard Problems with convoluted solutions.
BP159
BP213
BP227
BP228
BP257
BP262
BP290
BP825
BP849
BP920
BP973
BP975
BP981
BP990
BP1040
BP1129
BP1245
(edit; present; nest [left/right]; search; history)
COMMENTS

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


Images of Bongard Problems with convoluted solutions often admit many alternative solutions of similar complexity. In order for one particular convoluted solution to be the simplest solution, it is often necessary to include a large number of examples. A similar issue appears in infodense Bongard Problems.


When a Bongard Problem is too convoluted, a person might find the intended answer but discount it because it seems too convoluted. A solution to a Bongard Problem is unambiguous when it is the least convoluted option by a large margin.

CROSSREFS

Related to arbitrary.

See BP374 for simple vs. complicated drawings.

Adjacent-numbered pages:
BP544 BP545 BP546 BP547 BP548  *  BP550 BP551 BP552 BP553 BP554

KEYWORD

meta (see left/right), links, keyword

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP548 Due to pixelation, it is ambiguous whether the middle small shape is a resized version of the left shape or the right shape vs. there is a clear choice.
(edit; present; nest [left/right]; search; history)
COMMENTS

A strange Problem relying on pixelation of digital images.

CROSSREFS

Adjacent-numbered pages:
BP543 BP544 BP545 BP546 BP547  *  BP549 BP550 BP551 BP552 BP553

KEYWORD

less, creativeexamples, pixelperfect, structure, orderedtriplet, experimental

CONCEPT imperfection_small (info | search)

WORLD

[smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP547 Meta Meta Bongard Problems vs. other Bongard Problems.
BP517
BP519
BP537
BP539
BP547
BP561
BP566
BP577
BP774
BP775
BP777
BP778
BP779
BP780
BP781
BP782
BP783
BP784
BP785
BP786
BP794
BP888
BP895
BP1007
BP1073
BP1074
BP1076
BP1113
BP1126
BP1242
(edit; present; nest [left/right]; search; history)
COMMENTS

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


These are meta Bongard Problems with at least two layers of nesting.

CROSSREFS

See BP952 for the version that sorts pictures of Bongard Problems (miniproblems) instead of links.

Adjacent-numbered pages:
BP542 BP543 BP544 BP545 BP546  *  BP548 BP549 BP550 BP551 BP552

KEYWORD

meta (see left/right), links, keyword, left-self, metameta, metametameta, left-it, feedback

CONCEPT recursion_number (info | search),
recursion (info | search)

WORLD

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

AUTHOR

Aaron David Fairbanks

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