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Search: ex:BP1061
Displaying 1-6 of 6 results found.     page 1
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BP638 Bongard Problem with solution relating to concept: fractal vs. Bongard Problem unrelated to this concept.
BP355
BP356
BP528
BP529
BP530
BP531
BP532
BP533
BP953
BP954
BP959
BP961
BP987
BP1002
BP1058
BP1059
BP1060
BP1061
BP1062
BP1063
BP1065
BP1066
BP1067
BP1068
BP1069
BP1070
BP1071
BP1077
BP1107
BP1108
BP1114
BP1115
BP1116
BP1118
BP1119

. . .

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

Adjacent-numbered pages:
BP633 BP634 BP635 BP636 BP637  *  BP639 BP640 BP641 BP642 BP643

KEYWORD

meta (see left/right), links, metaconcept

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP687 Bongard Problem with solution relating to concept: recursion vs. Bongard Problem unrelated to this concept.
BP70
BP71
BP167
BP186
BP188
BP322
BP344
BP531
BP532
BP533
BP537
BP538
BP545
BP547
BP794
BP952
BP953
BP954
BP956
BP959
BP961
BP977
BP987
BP992
BP999
BP1002
BP1003
BP1004
BP1005
BP1006
BP1007
BP1019
BP1022
BP1058
BP1059

. . .

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

Adjacent-numbered pages:
BP682 BP683 BP684 BP685 BP686  *  BP688 BP689 BP690 BP691 BP692

KEYWORD

meta (see left/right), links, metaconcept, primitive, left-it, feedback

CONCEPT This MBP is about BPs that feature concept: "recursion"
Searchable synonyms: "nesting".

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP691 Bongard Problem with solution relating to concept: self-reference vs. Bongard Problem unrelated to this concept.
BP188
BP344
BP390
BP529
BP530
BP531
BP532
BP533
BP538
BP545
BP818
BP902
BP931
BP953
BP954
BP955
BP957
BP959
BP961
BP987
BP998
BP999
BP1002
BP1003
BP1004
BP1005
BP1006
BP1058
BP1059
BP1060
BP1061
BP1062
BP1063
BP1065
BP1066

. . .

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

Adjacent-numbered pages:
BP686 BP687 BP688 BP689 BP690  *  BP692 BP693 BP694 BP695 BP696

KEYWORD

meta (see left/right), links, metaconcept, primitive, left-it, feedback

CONCEPT This MBP is about BPs that feature concept: "self-reference"

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP913 Bongard Problems in which fine subtleties of images may be considered with respect to the solution (no slightly wrong hand-drawings!) vs. other visual Bongard Problems.
BP1
BP160
BP199
BP210
BP211
BP213
BP216
BP217
BP223
BP312
BP321
BP324
BP325
BP335
BP341
BP344
BP348
BP367
BP368
BP386
BP523
BP529
BP530
BP531
BP532
BP533
BP551
BP557
BP559
BP564
BP816
BP852
BP859
BP860
BP861

. . .

BP5
BP6
BP72
BP91
BP136
BP148
?
BP119
(edit; present; nest [left/right]; search; history)
COMMENTS

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

Right examples have the keyword "ignoreimperfections".


Consider the difference in style between BP344 and BP24.


Hand-drawn figures in BPs are typically imperfect. A "circles vs. squares" BP may only show what are approximately circles and approximately squares. A pedant might append to the solutions of all Bongard Problems the caveat "...when figures are interpreted as the most obvious shapes they approximate."

This is the meaning of the label "ignoreimperfections". On the other hand, the label "perfect" means even the pedant would drop this caveat; either all the images are precise, or precision doesn't matter (see also keyword stable).


Even in BPs tagged "perfect", the tiny rough edges caused by image pixelation are not expected to matter. If the OEBP would indeed prefer users only upload pixel-perfect examples, a BP can be tagged with the stricter keyword pixelperfect.

E.g., for BPs having to do with smooth curves and lines, "perfect" only requires images offer the best possible approximation of those intended shapes given the resolution.


Most Bongard Problems involving small details at all would be tagged "perfect". However, this is not always so; sometimes the small details are intended to be noticed, but certain imperfections are still intended to be overlooked.


BP119 ("small correction results in circle vs. not") is an interesting example: imperfections matter with respect to the outline being closed, but imperfections do not matter with respect to circular-ness.


If a Bongard Problem on the OEBP is tagged "ignoreimperfections" -- i.e., it has imperfect hand drawings -- then other keywords are generally applied relative to the intended idea, a corrected version sans imperfect hand drawings. (For example, this is how the keywords precise and stable are applied. Alternative versions of these keywords, which factor in imperfect hand drawings, could be made instead, but that would be less useful.)




It may be better to change the definition of "perfect" so it only applies to Bongard Problems such that small changes can potentially switch an example's side / remove it from the Bongard Problem. That would cut down on the number of Bongard Problems to label "perfect". There isn't currently a single keyword for "small changes can potentially switch an example's side / remove it from the Bongard Problem", but this is basically captured by unstable or unstableworld. There is also deformunstable which uses a different notion of "small change". - Aaron David Fairbanks, Jun 16 2023

CROSSREFS

See BP508 for discussion of this topic in relation to Bongard Problems tagged precise.


Stable Bongard Problems are generally "perfect".

Pixelperfect implies "perfect".


The keywords proofsrequired and noproofs (BP1125) have a similar relationship: "noproofs" indicates a lenience for a certain kind of imperfection.

Adjacent-numbered pages:
BP908 BP909 BP910 BP911 BP912  *  BP914 BP915 BP916 BP917 BP918

EXAMPLE

Many Bongard Problems involving properties of curves (e.g. BP62) really are about those wiggly, imperfect curves; they qualify as "perfect" problems. On the other hand, Bongard Problems involving polygons, (e.g. BP5) often show only approximately-straight lines; they are not "perfect" problems.


Bongard Problems with world "bmp" should be "perfect".

KEYWORD

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

WORLD

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

AUTHOR

Aaron David Fairbanks

BP958 Visual Bongard Problems about examples being read with infinite detail vs. other visual Bongard Problems.
BP529
BP530
BP531
BP532
BP533
BP543
BP852
BP953
BP954
BP959
BP961
BP1058
BP1059
BP1060
BP1061
BP1062
BP1063
BP1065
BP1066
BP1067
BP1068
BP1069
BP1070
BP1071
BP1077
BP1084
BP1098
BP1107
BP1108
BP1114
BP1115
BP1116
BP1118
BP1119
BP1120

. . .

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

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


Image files on the OEBP do not really have infinite detail. For a panel to be intuitively read as having infinite detail, there usually needs to be some apparent self-similarity, or perhaps a sequence of objects following an easy to read pattern getting smaller and smaller with increasing pixelation.


Usually in "infinitedetail" Bongard Problems, not only is it a puzzle to figure out the solution, but it is another puzzle to find self-similarities and understand the intended infinite detail in each example.

CROSSREFS

BPs tagged with the keyword "infinitedetail" usually feature pixelated images that give the closest approximation of the intended infinite structure up to pixelation. This means they should be tagged with the keyword perfect, but should not be tagged with the keyword pixelperfect.


Just because a Bongard Problem has "infinitedetail" does not necessarily make it infodense. Some fractal images might be encoded by a small amount of information (just the information about which places within itself it includes smaller copies of itself) and may be recognized quickly.

Adjacent-numbered pages:
BP953 BP954 BP955 BP956 BP957  *  BP959 BP960 BP961 BP962 BP963

KEYWORD

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

WORLD

visualbp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1079 A left example can be verified to fit left by checking only finitely many layers deep vs. not so.
BP1058↔
BP1060↔
BP1061↔
BP1062↔
BP1063↔
BP1065↔
BP1068↔
BP1077↔
BP1058
BP1059
BP1061
BP1066
BP1070
BP1059↔
BP1066↔
BP1067↔
BP1069↔
BP1070↔
BP1071↔
BP1060
BP1062
BP1063
BP1065
BP1067
BP1068
BP1069
BP1071
BP1077
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1074 BP1075 BP1076 BP1077 BP1078  *  BP1080 BP1081 BP1082 BP1083 BP1084

KEYWORD

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

CONCEPT semidecidable (info | search),
finite_infinite (info | search)

WORLD

recursive_boxes_bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

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