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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

BP4 Convex vs. concave.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Problem are outlines of shapes or solid black shapes.

REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 215.

CROSSREFS

BP136 is the same solution (flipped) but with only polygonal outlines and also with extraneous dots distracting from the solution.

Adjacent-numbered pages:
BP1 BP2 BP3  *  BP5 BP6 BP7 BP8 BP9

KEYWORD

easy, nice, precise, unstable, right-narrow, finished, traditional, bongard

CONCEPT concave_convex_angle (info | search)

WORLD

outline_or_fill_shape [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP6 Triangle vs. quadrilateral.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Problem are outlines of polygons or solid black polygons.

REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 215.

CROSSREFS

BP1211 is "triangle vs. anything else".

Adjacent-numbered pages:
BP1 BP2 BP3 BP4 BP5  *  BP7 BP8 BP9 BP10 BP11

KEYWORD

easy, nice, precise, number, ignoreimperfections, finished, traditional, preciseworld, bongard

CONCEPT number (info | search),
triangle (info | search),
three (info | search),
four (info | search)

WORLD

Multiple options:
polygon_outline_or_fill [smaller | same | bigger],
triangle_or_quadrilateral_outline_or_fill [smaller | same | bigger]

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

BP1221 Square present vs. no square present.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Nearly identical to BP1209, which is the same except the square is always empty (and the right side still has no squares, empty or not).

Adjacent-numbered pages:
BP1216 BP1217 BP1218 BP1219 BP1220  *  BP1222 BP1223 BP1224 BP1225 BP1226

KEYWORD

stub

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

AUTHOR

Aaron David Fairbanks

BP1226 Three identical elements vs. other number of identical elements.
(edit; present; nest [left/right]; search; history)
COMMENTS

Based on BP91, which is the same, except for that the right side is "four identical elements".

CROSSREFS

Adjacent-numbered pages:
BP1221 BP1222 BP1223 BP1224 BP1225  *  BP1227 BP1228 BP1229 BP1230 BP1231

KEYWORD

stub, arbitrary, number, traditional

CONCEPT number (info | search),
three (info | search)

AUTHOR

Aaron David Fairbanks

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