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BP956 Nested pairs of brackets vs. other arrangement of brackets (some open brackets are not closed or there are extra closing brackets).
(edit; present; nest [left/right]; search; history)
COMMENTS

Examples on the left are also known as "Dyck words".

REFERENCE

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

CROSSREFS

Adjacent-numbered pages:
BP951 BP952 BP953 BP954 BP955  *  BP957 BP958 BP959 BP960 BP961

KEYWORD

easy, nice, precise, allsorted, unwordable, notso, sequence, traditional, inductivedefinition, preciseworld, left-listable, right-listable

CONCEPT recursion (info | search)

AUTHOR

Aaron David Fairbanks

BP986 Palindromes vs. not palindromes.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Problem are sequences of graphic symbols. In this Problem, a "palindrome" is taken to be an ordered sequence which is the same read left-to-right as it is read right-to-left. A more formal solution to this Problem could be: "Sequences which are invariant under a permutation which swaps first and last entries, second and second last entries, third and third last entries, ... and so on vs. sequences which are not invariant under the aforementioned permutamation."

CROSSREFS

Adjacent-numbered pages:
BP981 BP982 BP983 BP984 BP985  *  BP987 BP988 BP989 BP990 BP991

KEYWORD

nice, precise, allsorted, notso, sequence, traditional

CONCEPT element_wise_symmetry (info | search),
identical (info | search),
sequence (info | search),
same_shape (info | search),
same (info | search),
symmetry (info | search)

AUTHOR

Jago Collins

BP1003 The combined collection fits the same rule as the sub-collections vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

Since it is most intuitive to imagine spatially squishing together all the collections in the process of combining them into one big collection, avoid rules that involve relative spatial positionings of objects.

CROSSREFS

Contrast BP999, which is very similar. There, when considering the whole picture, the collections are to be treated as individual objects; here, when considering the whole picture, the collections are to be combined into one big collection. A picture showing (for example) an odd number of even-numbered groups would be sorted differently by these two BPs.

Also contrast BP1004, which is about a collection of plain objects obeying the same rule as all the objects (instead of a collection of [collections of objects] obeying the same rule as all the [collections of objects]).

See BP1006 for the version with only number-based properties. All panels in that Bongard Problem fit the same way in this Bongard Problem as well.

Adjacent-numbered pages:
BP998 BP999 BP1000 BP1001 BP1002  *  BP1004 BP1005 BP1006 BP1007 BP1008

KEYWORD

nice, abstract, notso, creativeexamples, rules, miniworlds

CONCEPT recursion (info | search),
self-reference (info | search)

WORLD

[smaller | same | bigger]

AUTHOR

Leo Crabbe, Aaron David Fairbanks

BP1005 The collection of dot clumps has the same numerical property as each of the dot clumps vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

This is a version of BP999 with only numbers.

Contrast BP1006, which is very similar.

Adjacent-numbered pages:
BP1000 BP1001 BP1002 BP1003 BP1004  *  BP1006 BP1007 BP1008 BP1009 BP1010

KEYWORD

nice, notso, hardsort, left-narrow, rules

CONCEPT recursion (info | search),
self-reference (info | search)

WORLD

[smaller | same | bigger]
zoom in left | zoom in right

AUTHOR

Aaron David Fairbanks

BP1063 Specific structure vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1058 BP1059 BP1060 BP1061 BP1062  *  BP1064 BP1065 BP1066 BP1067 BP1068

KEYWORD

notso, arbitrary, perfect, infinitedetail

CONCEPT fractal (info | search),
recursion (info | search),
self-reference (info | search),
specificity (info | search),
one (info | search),
two (info | search),
three (info | search)

WORLD

recursive_boxes [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1064 Each large shape is made up of small shapes which are the same shape as the other large shape vs. not so
(edit; present; nest [left/right]; search; history)
CROSSREFS

See BP188 for single shapes made of themselves vs. not.

Adjacent-numbered pages:
BP1059 BP1060 BP1061 BP1062 BP1063  *  BP1065 BP1066 BP1067 BP1068 BP1069

KEYWORD

nice, notso

AUTHOR

Jago Collins

BP1080 Image of a Bongard Problem vs. other image.
(edit; present; nest [left/right]; search; history)
COMMENTS

Various formats of Bongard Problems frequently seen on the OEBP are showcased on the left side here.

CROSSREFS

See BP968, which distinguishes solvable Bongard Problems from other images still formatted like Bongard Problems (as opposed to this page, which distinguishes Bongard Problems from any other images.)

Adjacent-numbered pages:
BP1075 BP1076 BP1077 BP1078 BP1079  *  BP1081 BP1082 BP1083 BP1084 BP1085

KEYWORD

notso, teach, left-narrow, right-null

CONCEPT bongard_problem (info | search),
categorization (info | search)

AUTHOR

Leo Crabbe

BP1087 A vertical line may pass through both objects vs. no such line exists
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1082 BP1083 BP1084 BP1085 BP1086  *  BP1088 BP1089 BP1090 BP1091 BP1092

KEYWORD

easy, notso, rotate, unorderedpair

CONCEPT vertical (info | search),
direction (info | search)

AUTHOR

William B Holland

BP1097 "Fault line" present vs. not
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1092 BP1093 BP1094 BP1095 BP1096  *  BP1098 BP1099 BP1100 BP1101 BP1102

KEYWORD

nice, precise, notso, left-finite, right-finite, preciseworld

AUTHOR

Jago Collins

BP1099 Considering only the ways they are connected, anything that can be said about a given node can be said about every other node vs. not so.
(edit; present; nest [left/right]; search; history)
REFERENCE

https://en.wikipedia.org/wiki/Vertex-transitive_graph

CROSSREFS

Adjacent-numbered pages:
BP1094 BP1095 BP1096 BP1097 BP1098  *  BP1100 BP1101 BP1102 BP1103 BP1104

KEYWORD

precise, allsorted, notso, math, preciseworld

CONCEPT graph (info | search),
distinguishing_crossing_curves (info | search)

WORLD

graph [smaller | same | bigger]
zoom in left

AUTHOR

Leo Crabbe

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