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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

BP2 Big vs. small.
(edit; present; nest [left/right]; search; history)
COMMENTS

The meaning of "big" left intentionally vague. There are various specific ways to define size, such as diameter, minimum distance between points on edge, and size of smallest bounding circle.

All examples in this Bongard Problem are single simple shapes, either outlines or solid black.

All examples on the same side are approximately the same size.

REFERENCE

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

CROSSREFS

Adjacent-numbered pages:
BP1  *  BP3 BP4 BP5 BP6 BP7

KEYWORD

easy, nice, fuzzy, spectrum, size, stable, finished, traditional, continuous, bongard

CONCEPT size (info | search)

WORLD

outline_or_fill_shape [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

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

BP1219 Blank image (square) vs. image of blank square.
(edit; present; nest [left/right]; search; history)
CROSSREFS

See also BP1056, "blank image vs. nothing".


BP1 is also a (less specific) solution to this.

BP1209 (flipped) is also a (less specific) solution to this.

Adjacent-numbered pages:
BP1214 BP1215 BP1216 BP1217 BP1218  *  BP1220 BP1221 BP1222 BP1223 BP1224

KEYWORD

minimal, gap, left-narrow, right-narrow, left-finite, right-finite, left-full, right-full, left-null, funny, unstableworld

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

AUTHOR

Aaron David Fairbanks

BP1223 Center square is black vs. center square is white.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples are a three by three grid of black or white squares.

CROSSREFS

Adjacent-numbered pages:
BP1218 BP1219 BP1220 BP1221 BP1222  *  BP1224 BP1225 BP1226 BP1227 BP1228

KEYWORD

stub, left-finite, right-finite, traditional, preciseworld

CONCEPT outlined_filled (info | search),
center (info | search)

AUTHOR

Aaron David Fairbanks

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