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BP196 Light-colored texture vs. dark-colored texture.
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(edit; present; nest [left/right]; search; history)
COMMENTS

More white than black vs. more black than white.

CROSSREFS

See BP211 for a version of this Problem that includes as examples more general kinds of images than uniform textures.

Adjacent-numbered pages:
BP191 BP192 BP193 BP194 BP195  *  BP197 BP198 BP199 BP200 BP201

KEYWORD

easy, nice, spectrum, dual, blackwhite, traditional, continuous, viceversa, dithering

CONCEPT light_dark (info | search),
texture_area (info | search),
texture (info | search)

WORLD

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

AUTHOR

Harry E. Foundalis

BP963 Bongard Problems in which small changes to examples can switch their sorting vs. Bongard Problems in which examples changed slightly enough remain sorted the same way.
BP1
BP4
BP15
BP72
BP211
BP324
BP325
BP335
BP344
BP348
BP367
BP368
BP523
BP816
BP860
BP861
BP920
BP935
BP937
BP2
BP9
BP11
BP14
BP34
BP62
(edit; present; nest [left/right]; search; history)
COMMENTS

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

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


For the purposes of this Bongard Problem, "small change" means adding to or removing from an arbitrarily small portion of the image. Other kinds of small change could be explored, such as making changes in multiple small places, translating, rotating, scaling, or deforming the whole image slightly (see also keywords deformunstable vs. deformstable), or even context-dependent small changes (e.g., changing the shadings slightly in BP196, or making small 3d changes to the represented 3d objects in BP333), but they are not considered here.


In a "stable" Bongard Problem, no small change should outright flip an example's sorting. It is allowed for a small change to make an example sorted slightly more ambiguously.


Small changes that make an example no longer even fit in with the format of a Bongard Problem are not considered. (Otherwise, far fewer Bongard Problems would be called "stable".)


For whether small changes make an example no longer fit in with the Bongard Problem, see unstableworld vs. stableworld.


If a Bongard Problem is shown with imperfect hand drawings (keyword ignoreimperfections), it is fine to apply the keyword "unstable" ignoring this. For instance, a hand-drawn version of BP344 would still be tagged "unstable", even though it would show examples wrong by small amounts.

(Note: a BP would only be tagged "ignoreimperfections" in the first place if the underlying idea were such that several small changes could make an example switch sides, no longer fit in with the format of the Bongard Problem, or otherwise be ambiguously sorted.)

CROSSREFS

Stable Bongard Problems are generally perfect and pixelperfect.

Gap (technically) implies stable. (However, in practice it has seemed unnatural to tag BPs "stable" when ALL small changes render certain examples unsortable, as is sometimes the case in "gap" BPs.)


Unstable Bongard Problems are often precise.

Stable Bongard Problems tend to either be fuzzy or otherwise either have a gap or be not allsorted.


See BP1144, which is about all small changes making all examples unsortable rather than some small change making some example switch sides.


See BP1140, which is about any (perhaps large) additions of detail instead of small changes.

Adjacent-numbered pages:
BP958 BP959 BP960 BP961 BP962  *  BP964 BP965 BP966 BP967 BP968

EXAMPLE

BP1 is unstable because it's possible to change nothing slightly by adding a pixel to end up with something.

KEYWORD

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

AUTHOR

Aaron David Fairbanks

BP211 More black than white vs. more white than black.
(edit; present; nest [left/right]; search; history)
CROSSREFS

See BP196 for a version of this Problem restricted to uniform textures.

Adjacent-numbered pages:
BP206 BP207 BP208 BP209 BP210  *  BP212 BP213 BP214 BP215 BP216

KEYWORD

easy, nice, spectrum, dual, blackwhite, unstable, right-null, perfect, pixelperfect, traditional, continuous, viceversa, bordercontent

CONCEPT outlined_filled (info | search),
size (info | search),
texture (info | search)

WORLD

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

AUTHOR

Giuseppe Insana

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