login
Hints
(Greetings from The On-Line Encyclopedia of Bongard Problems!)
Search: ex:BP38
Displaying 1-10 of 15 results found. ( next )     page 1 2
     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

BP507 Bongard Problems about comparison of quantity vs. other Bongard Problems.
BP2
BP11
BP12
BP28
BP29
BP34
BP36
BP37
BP38
BP53
BP62
BP65
BP67
BP79
BP173
BP176
BP196
BP211
BP292
BP338
BP501
BP565
BP869
BP882
BP915
BP971
BP972
BP978
BP1044
BP1046
BP1208
BP1
?
BP6
(edit; present; nest [left/right]; search; history)
COMMENTS

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


In a "spectrum" Bongard Problem, there is an evident way to assign each object a value (e.g. "size" or "number of holes"). Then, to determine whether an object fits left or right in the Bongard Problem, its value is compared with a fixed threshold value.


Spectra can be continuous or discrete.


A "spectrum" Bongard Problem is usually arbitrary, since there could be made many different versions of it with different choices of threshold value. However, sometimes a certain choice of threshold is particularly natural. For example, the threshold of 90 degrees in "acute vs. obtuse angles" does not come across as arbitrary. And in BP2, the spectrum of values ("size") is vague, so much that the fuzzy threshold, of about half the size of the bounding box, does not seem arbitrary.


A spectrum Bongard Problem may or may not have the following properties:

1) The values assigned to objects are precise.

2) The threshold value between the two sides is precise.

3) The threshold value is itself sorted on one of the two sides.

Each of the latter two typically only makes sense when the condition before it is true.


If a spectrum Bongard Problem obeys 1) and 2), then it will usually be precise.

For example:

"Angles less than 90° vs. angles greater than 90°" is "precise".


If a spectrum Bongard Problem obeys 1), 2), and 3), then it will usually be allsorted.

For example:

"Angles less than or equal to 90° vs. angles greater than 90°" is "allsorted".


Discrete spectra usually satisfy 1) but do not satisfy 2). In a discrete spectrum Bongard Problem, there isn't one unambiguous threshold value. Consider "2 or fewer holes vs. 3 or more holes". (Is the threshold 2? 3? 2.5?)


In an especially extreme kind of spectrum Bongard Problem, one side represents just a single value, just the threshold value. For example, "right angles vs. obtuse angles." In certain cases like this the threshold is an extreme value at the very boundary of the spectrum of possible values. For example, consider "no holes vs. one or more holes." Cases like this might not even be understood as two sides of a spectrum, but rather the absence versus presence of a property. (See the keyword notso.)


Even more extreme, in some Bongard Problems, each of the sides is a single value on a spectrum. For example, BP6 is "3 sides vs. 4 sides". We have not been labeling Bongard Problems like this with the keyword "spectrum".


After all, any Bongard Problem can be re-interpreted as a spectrum Bongard Problem, where the spectrum ranges from the extreme fitting left to the extreme of fitting right.

REFERENCE

https://en.wikipedia.org/wiki/Total_order

CROSSREFS

See BP874 for the version sorting pictures of Bongard Problems (miniproblems) instead of links to pages on the OEBP.

Adjacent-numbered pages:
BP502 BP503 BP504 BP505 BP506  *  BP508 BP509 BP510 BP511 BP512

KEYWORD

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

WORLD

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

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

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

BP696 Bongard Problem with solution relating to concept: size of objects or features vs. Bongard Problem unrelated to this concept.
BP2
BP14
BP21
BP22
BP34
BP38
BP76
BP126
BP140
BP211
BP248
BP256
BP286
BP295
BP301
BP969
BP970
BP1014
BP1214
BP1217
BP1222
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP691 BP692 BP693 BP694 BP695  *  BP697 BP698 BP699 BP700 BP701

KEYWORD

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

CONCEPT This MBP is about BPs that feature concept: "size"
Searchable synonyms: "large", "small", "big".

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP769 Bongard Problem with solution relating to concept: triangle vs. Bongard Problem unrelated to this concept.
BP6
BP25
BP26
BP36
BP37
BP38
BP46
BP47
BP54
BP75
BP79
BP80
BP82
BP103
BP111
BP117
BP121
BP132
BP146
BP151
BP160
BP171
BP178
BP193
BP194
BP243
BP272
BP283
BP287
BP891
BP897
BP898
BP934
BP969
BP970

. . .

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

Adjacent-numbered pages:
BP764 BP765 BP766 BP767 BP768  *  BP770 BP771 BP772 BP773 BP774

KEYWORD

meta (see left/right), links, metaconcept

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP787 Ordered pairwise comparison Bongard Problems vs. unordered pairwise comparison Bongard Problems
BP36
BP38
BP103
BP106
BP165
BP175
BP348
BP386
BP900
BP57
BP59
BP104
BP229
BP238
BP312
BP358
BP377
BP378
BP557
BP809
BP810
BP822
BP863
BP922
BP925
BP935
BP937
BP1087
BP1094
BP1110
BP1114
BP1115
BP1131
(edit; present; nest [left/right]; search; history)
COMMENTS

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

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


Pairwise comparison Bongard Problems in which the two objects are of two fixed different types are always sorted left here. - Aaron David Fairbanks, Aug 22 2020

CROSSREFS

Adjacent-numbered pages:
BP782 BP783 BP784 BP785 BP786  *  BP788 BP789 BP790 BP791 BP792

KEYWORD

meta (see left/right), links, keyword

AUTHOR

Leo Crabbe

BP798 Bongard Problems by Bongard vs. other Bongard Problems.
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

. . .

BP101
BP102
BP103
BP104
BP105
BP106
BP107
BP108
BP109
BP110
BP111
BP112
BP113
BP114
BP115
BP116
BP117
BP118
BP119
BP120
BP121
BP122
BP123
BP124
BP125
BP126
BP127
BP128
BP129
BP130
BP131
BP132
BP133
BP134
BP135

. . .

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

Alternatively, BP pages on the OEBP with number less than or equal to 100 vs. other BP pages.


Bongard's original Problems have the keyword "bongard" on the OEBP.

CROSSREFS

Adjacent-numbered pages:
BP793 BP794 BP795 BP796 BP797  *  BP799 BP800 BP801 BP802 BP803

KEYWORD

meta (see left/right), links, keyword

WORLD

bppage [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP983 Bongard Problem with solution relating to concept: comparison of multiple quantities (within one example) vs. Bongard Problem unrelated to this concept.
BP7
BP27
BP28
BP29
BP36
BP37
BP38
BP53
BP969
BP970
BP1208
BP1214
BP1217
(edit; present; nest [left/right]; search; history)
COMMENTS

"More," "fewer," "greater than," "less than."

See BP752 and BP749 for equality.

CROSSREFS

Adjacent-numbered pages:
BP978 BP979 BP980 BP981 BP982  *  BP984 BP985 BP986 BP987 BP988

KEYWORD

meta (see left/right), links, metaconcept

CONCEPT This MBP is about BPs that feature concept: "quantity_comparison"
Searchable synonyms: "more", "less", "greater", "lesser", "greater than", "less than", "fewer".

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1113 Bongard Problems relating to the OEBP vs. Bongard Problems unrelated to the OEBP.
BP503
BP504
BP518
BP542
BP546
BP919
BP930
BP943
BP967
BP1113
BP1121
BP1125
BP1150
BP1174
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

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


Most Bongard Problems relating to the OEBP are meta.

CROSSREFS

Adjacent-numbered pages:
BP1108 BP1109 BP1110 BP1111 BP1112  *  BP1114 BP1115 BP1116 BP1117 BP1118

KEYWORD

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

AUTHOR

Leo Crabbe

( next )     page 1 2

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