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BP1 Empty image vs. non-empty image.
(edit; present; nest [left/right]; search; history)
COMMENTS

The first Bongard Problem.

All examples in this Bongard Problem are line drawings (one or more connected figures made up of curved and non-curved lines).

REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 214.

CROSSREFS

Adjacent-numbered pages:
  *  BP2 BP3 BP4 BP5 BP6

EXAMPLE

A circle fits on the right because it is not nothing.

KEYWORD

easy, nice, precise, allsorted, unstable, world, left-narrow, left-finite, left-full, left-null, perfect, pixelperfect, finished, traditional, stableworld, deformstable, bongard

CONCEPT empty (info | search),
existence (info | search),
zero (info | search)

WORLD

zoom in left (blank_image) | zoom in right (curves_drawing)

AUTHOR

Mikhail M. Bongard

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

BP359 Random arrangement of pixels vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

By "random" we mean it's reasonable to expect each pixel in the image was chosen with a constant, consistent chance of being black or white.

CROSSREFS

Adjacent-numbered pages:
BP354 BP355 BP356 BP357 BP358  *  BP360 BP361 BP362 BP363 BP364

KEYWORD

nice, right-narrow, collective, experimental, blackwhiteinvariant

CONCEPT pattern_or_random (info | search)

WORLD

bmp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP364 Two clearly separable groups vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

This BP (when interpreted as any image) will fit as a left example for itself.

CROSSREFS

Adjacent-numbered pages:
BP359 BP360 BP361 BP362 BP363  *  BP365 BP366 BP367 BP368 BP369

KEYWORD

nice, fuzzy, right-null, traditional, miniworlds

CONCEPT feature_cluster (info | search),
cluster (info | search)

AUTHOR

Aaron David Fairbanks

BP972 Top half has more black (less white) than bottom half versus vice versa.
(edit; present; nest [left/right]; search; history)
COMMENTS

A similar, but different, solution is "center of mass is above the horizontal vs. center of mass is below the horizontal."

CROSSREFS

See BP971 for the version with examples rotated a quarter-turn.

Adjacent-numbered pages:
BP967 BP968 BP969 BP970 BP971  *  BP973 BP974 BP975 BP976 BP977

KEYWORD

precise, spectrum, dual, handed, updown, boundingbox, blackwhite, traditional, viceversa, absoluteposition, bordercontent

AUTHOR

Aaron David Fairbanks

BP1082 Shapes are congruent if (and only if) they are enclosed in the same space vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1077 BP1078 BP1079 BP1080 BP1081  *  BP1083 BP1084 BP1085 BP1086 BP1087

KEYWORD

stub, precise, allsorted

CONCEPT iff (info | search)

AUTHOR

Leo Crabbe

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