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BP999 The collection of collections obeys the same rule as the individual collections vs. it does not.
(edit; present; nest [left/right]; search; history)
COMMENTS

Rhetorical question: Where would the collection of left examples of this Bongard Problem be sorted by this Bongard Problem? (The question is whether these examples considered together satisfy the pattern that all the parts do, namely that the whole satisfies the pattern that all the parts do.)

See BP793 and BP1004 for similar paradoxes.

CROSSREFS

See BP1005 for the version about only numerical properties; examples in that BP would be sorted the same way here that they are there.

See BP1003 for a similar idea. Rather than the collection of collections imitating the individual collections, BP1003 is about the total combined collection imitating the individual collections. A picture showing (for example) an odd number of even-numbered groups would be sorted differently by these two BPs.

Also see BP1004, which is likewise about the whole satisfying the same rule as its parts, but there the parts don't themselves have to be collections; there the parts are just plain individual objects. The panels in BP999 (this BP) should be sorted the same way in BP1004.

See BP1002, which is about only visual self-similarity instead of more general conceptual "self-similarity".

Adjacent-numbered pages:
BP994 BP995 BP996 BP997 BP998  *  BP1000 BP1001 BP1002 BP1003 BP1004

KEYWORD

nice, abstract, creativeexamples, left-narrow, rules, miniworlds

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

WORLD

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

AUTHOR

Aaron David Fairbanks

BP1004 The whole satisfies the same rule as its parts vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

The "whole" is the entire panel including the bounding box. A "part" is some region either stylistically different or amply separated in space from everything else. Smaller parts-within-parts don't count as parts.


Rhetorical question: Where would the collection of left examples of this Bongard Problem be sorted by this Bongard Problem? (The question is whether these examples considered together satisfy the pattern that all the parts do, namely that the whole satisfies the pattern that all the parts do.)

See BP793 and BP999 for similar paradoxes.

CROSSREFS

See BP1006 for the version about numerical properties where each part is a cluster of dots; examples in that BP would be sorted the same way here that they are there.

See BP999 and BP1003 for versions where each object is itself a collection of objects, so that the focus is on rules specifically pertaining to collections (e.g. "all the objects are different").

See BP1002 for a Bongard Problem about only visual self-similarity instead of conceptual self-similarity.


The rule shown in each panel is "narrow" (see BP513left and BP514left).

Adjacent-numbered pages:
BP999 BP1000 BP1001 BP1002 BP1003  *  BP1005 BP1006 BP1007 BP1008 BP1009

KEYWORD

nice, abstract, anticomputer, creativeexamples, left-narrow, rules, miniworlds

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

AUTHOR

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

BP1006 The sum of all 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 BP1003 with only numbers.

Contrast BP1005, which is very similar.

Adjacent-numbered pages:
BP1001 BP1002 BP1003 BP1004 BP1005  *  BP1007 BP1008 BP1009 BP1010 BP1011

KEYWORD

nice, hardsort, left-narrow, rules

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

WORLD

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

AUTHOR

Leo Crabbe, Aaron David Fairbanks

BP1011 Polygon can be inscribed in a circle vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1006 BP1007 BP1008 BP1009 BP1010  *  BP1012 BP1013 BP1014 BP1015 BP1016

KEYWORD

hard, precise, stretch, challenge, left-narrow, perfect, preciseworld

CONCEPT circle (info | search),
imagined_entity (info | search)

WORLD

fill_polygon [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP1049 3 in a row vs. not
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1044 BP1045 BP1046 BP1047 BP1048  *  BP1050 BP1051 BP1052 BP1053 BP1054

KEYWORD

teach, creativeexamples, left-narrow, right-narrow, contributepairs, fixedgrid, miniworlds

CONCEPT three (info | search)

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

BP1086 Endpoints of curve have the same height vs. not so.
(edit; present; nest [left/right]; search; history)
REFERENCE

Solution idea seen here: https://justpuzzles.wordpress.com/2019/07/05/bongard-problem-36-2.

CROSSREFS

Adjacent-numbered pages:
BP1081 BP1082 BP1083 BP1084 BP1085  *  BP1087 BP1088 BP1089 BP1090 BP1091

KEYWORD

nice, rotate, stretch, left-narrow, traditional

CONCEPT same (info | search)

WORLD

[smaller | same | bigger]

AUTHOR

Teun Spaans

BP1093 "Inverted symmetry" present vs. not
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1088 BP1089 BP1090 BP1091 BP1092  *  BP1094 BP1095 BP1096 BP1097 BP1098

KEYWORD

nice, precise, allsorted, boundingbox, left-narrow, right-null, perfect, pixelperfect, preciseworld, bordercontent, blackwhiteinvariant

CONCEPT black_white_inversion (info | search)

WORLD

[smaller | same | bigger]

AUTHOR

Jago Collins

BP1098 Concave shapes whose cavities are similar to the shape vs. concave shape whose cavities are not similar to the shape.
?
?
?
?
(edit; present; nest [left/right]; search; history)
COMMENTS

"I am agnostic on whether to let this world include examples such as EX8932, where pixelation is used, or examples such as suggested by EX8928 similar to the "Topologist's Comb" (link in references) which are not locally path-connected. These two examples were provided by Aaron David Fairbanks." - Jago Collins 28th January 2021

REFERENCE

https://en.wikipedia.org/wiki/Similarity_(geometry)

https://en.wikipedia.org/wiki/Self-similarity

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

CROSSREFS

Adjacent-numbered pages:
BP1093 BP1094 BP1095 BP1096 BP1097  *  BP1099 BP1100 BP1101 BP1102 BP1103

EXAMPLE

A circle with a circle cut out of it does not fit left, because with the circle cut out of it, our shape is no longer a circle.

KEYWORD

stub, precise, allsorted, left-narrow, perfect, infinitedetail

CONCEPT self-reference (info | search)

AUTHOR

Jago Collins

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