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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

BP170 Pi-like shape vs. x-like shape.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP165 BP166 BP167 BP168 BP169  *  BP171 BP172 BP173 BP174 BP175

KEYWORD

nice, arbitrary, anticomputer, traditional, blackwhiteinvariant

CONCEPT specific_shape (info | search),
specificity (info | search)

AUTHOR

Harry E. Foundalis

BP331 Image of something 2-D vs. image of something 3-D.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP326 BP327 BP328 BP329 BP330  *  BP332 BP333 BP334 BP335 BP336

KEYWORD

abstract, anticomputer, collective, traditional, dithering

CONCEPT dimensionality (info | search),
3d_solid (info | search)

AUTHOR

Aaron David Fairbanks

BP1004 The whole satisfies the same rule as its parts vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

The "whole" is the entire panel including the bounding box. A "part" is some region either stylistically different or amply separated in space from everything else. Smaller parts-within-parts don't count as parts.


Rhetorical question: Where would the collection of left examples of this Bongard Problem be sorted by this Bongard Problem? (The question is whether these examples considered together satisfy the pattern that all the parts do, namely that the whole satisfies the pattern that all the parts do.)

See BP793 and BP999 for similar paradoxes.

CROSSREFS

See BP1006 for the version about numerical properties where each part is a cluster of dots; examples in that BP would be sorted the same way here that they are there.

See BP999 and BP1003 for versions where each object is itself a collection of objects, so that the focus is on rules specifically pertaining to collections (e.g. "all the objects are different").

See BP1002 for a Bongard Problem about only visual self-similarity instead of conceptual self-similarity.


The rule shown in each panel is "narrow" (see BP513left and BP514left).

Adjacent-numbered pages:
BP999 BP1000 BP1001 BP1002 BP1003  *  BP1005 BP1006 BP1007 BP1008 BP1009

KEYWORD

nice, abstract, anticomputer, creativeexamples, left-narrow, rules, miniworlds

CONCEPT recursion (info | search),
self-reference (info | search)

AUTHOR

Aaron David Fairbanks

BP1044 More black circles than white circles vs. at least as many white circles as black circles.
(edit; present; nest [left/right]; search; history)
CROSSREFS

See the twin BP1046.

Adjacent-numbered pages:
BP1039 BP1040 BP1041 BP1042 BP1043  *  BP1045 BP1046 BP1047 BP1048 BP1049

KEYWORD

precise, allsorted, spectrum, discrete, preciseworld

CONCEPT ratio (info | search)

WORLD

outline_or_fill_circles_same_size [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1046 More white circles than black circles vs. at least as many black circles as white circles.
(edit; present; nest [left/right]; search; history)
CROSSREFS

See the twin BP1044.

Adjacent-numbered pages:
BP1041 BP1042 BP1043 BP1044 BP1045  *  BP1047 BP1048 BP1049 BP1050 BP1051

KEYWORD

precise, allsorted, spectrum, discrete, preciseworld

CONCEPT ratio (info | search)

WORLD

outline_or_fill_circles_same_size [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1162 Bongard Problem with solution that can be naturally phrased as "___ vs. vice versa" vs. not so.
BP28
BP29
BP36
BP37
BP38
BP43
BP45
BP46
BP47
BP48
BP49
BP53
BP63
BP65
BP67
BP68
BP76
BP79
BP196
BP211
BP565
BP830
BP971
BP972
BP1124
BP1159
BP1254
BP1
BP170
BP331
BP1004
BP1044
BP1046
BP1162
(edit; present; nest [left/right]; search; history)
COMMENTS

Bongard Problems sorted left obtain the keyword "viceversa" on the OEBP.

CROSSREFS

Contrast the keyword notso.


"Viceversa" BPs are often dual.


The solution to a less-than/greater-than quantity comparison Bongard Problem (keyword spectrum) where the two sides divide the spectrum in half can be phrased as "closer to left end of spectrum than right end vs. vice versa." Whether this is a natural way to phrase the solution depends on the kind of quantity being compared.

Here are some examples of spectra for which the "vice versa" phrasing tends to seem natural: left vs. right, up vs. down, black vs. white, higher quantity of [thing type 1] vs. higher quantity of [thing type 2].

Adjacent-numbered pages:
BP1157 BP1158 BP1159 BP1160 BP1161  *  BP1163 BP1164 BP1165 BP1166 BP1167

KEYWORD

notso, meta (see left/right), links, keyword, right-self

AUTHOR

Aaron David Fairbanks

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