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BP869 Approximately symmetric vs. asymmetric.
(edit; present; nest [left/right]; search; history)
COMMENTS

Or, "evokes idea of symmetry (see BP760) vs. not so," which is also a solution for BP847. - Aaron David Fairbanks, Jul 29 2020

CROSSREFS

Adjacent-numbered pages:
BP864 BP865 BP866 BP867 BP868  *  BP870 BP871 BP872 BP873 BP874

KEYWORD

abstract, spectrum, anticomputer, subjective, concept, perfect

CONCEPT imperfection_small (info | search),
symmetry (info | search)

AUTHOR

Leo Crabbe

BP882 Vaguely positive vs. vaguely negative
(edit; present; nest [left/right]; search; history)
COMMENTS

Requires cultural knowledge, e.g. for specific warning symbols

CROSSREFS

Adjacent-numbered pages:
BP877 BP878 BP879 BP880 BP881  *  BP883 BP884 BP885 BP886 BP887

KEYWORD

easy, less, abstract, spectrum, anticomputer, subjective, culture, invalid

AUTHOR

Thomas Joyce

BP930 BP Pages on the OEBP where users are advised to upload examples that help people (by hinting at the solution) vs. other BP Pages.
BP334
BP349
BP382
BP384
BP569
BP829
BP892
BP945
BP988
BP989
BP1008
BP1016
BP1089
BP1102
BP1161
BP1168
(edit; present; nest [left/right]; search; history)
COMMENTS

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


BPs should be marked "help" when the OEBP wants most examples (at least on one side) to be helpful (not when just one or two uploaded examples are helpful).


Helpfulness can be a spectrum; most Bongard Problems are helpful to some degree just by not using the most convoluted unintelligible examples possible.


Examples that are helpful to people are often not particularly helpful to computers.


Any helpful Bongard Problem has a harder, not helpful version. For example, BP384 (square number of dots versus non-square number of dots) would be much harder if all examples had hundreds of dots that weren't arranged recognizably. Instead, the dots in the examples are always arranged in shapes that make the square-ness or non-square-ness of the numbers easy to check without brute counting.


When all examples in a Bongard Problem are helpful, it may become unclear whether the helpfulness is part of the Bongard Problem's solution.

E.g.: Is the left-hand side of BP384 "square number of dots", or is it "square number of dots that are arranged in a helpful way so as to communicate the square-ness"?


See seemslike, where examples being helpful is an irremovable aspect of the Bongard Problem's solution.

CROSSREFS

Adjacent-numbered pages:
BP925 BP926 BP927 BP928 BP929  *  BP931 BP932 BP933 BP934 BP935

KEYWORD

anticomputer, meta (see left/right), links, keyword, oebp, instruction

WORLD

bppage [smaller | same | bigger]
zoom in left (help_bp)

AUTHOR

Aaron David Fairbanks

BP939 Optical illusions vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

Panels on the left hand side contain geometrical objects that appear distorted (to a human) due to surrounding information.

REFERENCE

Vicente Sierra-Vázquez & Ignacio Serrano-Pedraza, Application of Riesz transforms to the isotropic AM-PM decomposition of geometrical-optical illusion images, April 2010, Figure 1.

CROSSREFS

Adjacent-numbered pages:
BP934 BP935 BP936 BP937 BP938  *  BP940 BP941 BP942 BP943 BP944

KEYWORD

fuzzy, anticomputer, subjective, contributepairs, invalid, experimental

CONCEPT length_line_or_curve (info | search),
visual_illusion (info | search)

AUTHOR

Leo Crabbe

BP1002 Vaguely self-similar (looks like self-similar fractal after one iteration) vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

See BP1004 for a Problem about conceptual self-similarity instead of visual self-similarity.

See BP188 for a similar Problem restricted to shape outlines made of shape outlines.

Adjacent-numbered pages:
BP997 BP998 BP999 BP1000 BP1001  *  BP1003 BP1004 BP1005 BP1006 BP1007

KEYWORD

easy, nice, fuzzy, abstract, anticomputer, concept, traditional

CONCEPT fractal (info | search),
recursion (info | search),
self-reference (info | search),
similar_shape (info | search),
similar (info | search)

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

BP1092 Has element-wise 180 degree rotational symmetry vs. does not.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1087 BP1088 BP1089 BP1090 BP1091  *  BP1093 BP1094 BP1095 BP1096 BP1097

KEYWORD

nice, anticomputer

CONCEPT element_wise_symmetry (info | search),
rotational_symmetry (info | search)

AUTHOR

William B Holland

BP1110 The process that turns one object into the other is the same both ways vs. the process changes depending on which object is chosen as the starting point.
?
(edit; present; nest [left/right]; search; history)
REFERENCE

https://en.wikipedia.org/wiki/Duality_(mathematics)

https://en.wikipedia.org/wiki/Involution_(mathematics)

CROSSREFS

This is a special case of BP841 and a generalisation of BP822.

Adjacent-numbered pages:
BP1105 BP1106 BP1107 BP1108 BP1109  *  BP1111 BP1112 BP1113 BP1114 BP1115

KEYWORD

nice, abstract, math, anticomputer, creativeexamples, left-narrow, unorderedpair, rules, miniworlds, dithering

CONCEPT function (info | search)

AUTHOR

Leo Crabbe

BP1260 Same transformation applied to circle, triangle, and square vs. different transformations applied.
(edit; present; nest [left/right]; search; history)
CROSSREFS

BP839 is about applying opposite transformations to a single object.

Adjacent-numbered pages:
BP1255 BP1256 BP1257 BP1258 BP1259  *  BP1261 BP1262 BP1263 BP1264 BP1265

KEYWORD

easy, nice, abstract, arbitrary, anticomputer, left-null, structure, orderedtriplet, traditional, rules

CONCEPT circle (info | search),
analogy (info | search),
square (info | search),
same (info | search),
triangle (info | search),
function (info | search)

AUTHOR

Aaron David Fairbanks

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