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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

BP345 Intersection of circle and square vs. union of circle and square.
(edit; present; nest [left/right]; search; history)
COMMENTS

An image of only a circle or of only a square would be ambiguously categorized.

CROSSREFS

BP1272 is "Square minus circle vs. circle minus square."

Adjacent-numbered pages:
BP340 BP341 BP342 BP343 BP344  *  BP346 BP347 BP348 BP349 BP350

KEYWORD

nice, left-narrow, right-narrow, traditional, both

CONCEPT set_intersection (info | search),
set_union (info | search),
imagined_shape (info | search),
imagined_entity (info | search),
overlap (info | search)

WORLD

[smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP966 Even number of white regions vs. odd number of white regions.
(edit; present; nest [left/right]; search; history)
COMMENTS

See BP889 for the version in which the background doesn't count.

CROSSREFS

Adjacent-numbered pages:
BP961 BP962 BP963 BP964 BP965  *  BP967 BP968 BP969 BP970 BP971

KEYWORD

nice, boundingbox, number, right-null, perfect, pixelperfect, traditional, bordercontent

CONCEPT separated_regions (info | search),
even_odd (info | search)

AUTHOR

Aaron David Fairbanks

BP1209 Empty square present vs. no square present.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Nearly identical to BP1221, which is the same except non-empty squares are allowed.

See BP24 for "circle present vs. not".

Adjacent-numbered pages:
BP1204 BP1205 BP1206 BP1207 BP1208  *  BP1210 BP1211 BP1212 BP1213 BP1214

KEYWORD

stub, left-narrow, traditional

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

AUTHOR

Aaron David Fairbanks

BP1211 Triangle vs. anything else.
(edit; present; nest [left/right]; search; history)
CROSSREFS

See BP6 for "triangle vs. quadrilateral".

Adjacent-numbered pages:
BP1206 BP1207 BP1208 BP1209 BP1210  *  BP1212 BP1213 BP1214 BP1215 BP1216

KEYWORD

stub, notso, left-narrow, traditional

CONCEPT triangle (info | search)

AUTHOR

Aaron David Fairbanks

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