login
Hints
(Greetings from The On-Line Encyclopedia of Bongard Problems!)
Search: keyword:left-narrow
Displaying 1-10 of 50 results found. ( next )     page 1 2 3 4 5
     Sort: id      Format: long      Filter: (all | no meta | meta)      Mode: (words | no words)
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

BP31 One line vs. two lines.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 224.

CROSSREFS

Adjacent-numbered pages:
BP26 BP27 BP28 BP29 BP30  *  BP32 BP33 BP34 BP35 BP36

KEYWORD

easy, precise, allsorted, left-narrow, right-narrow, pixelperfect, traditional, bongard

CONCEPT distinguishing_crossing_curves (info | search),
one (info | search),
two (info | search)

WORLD

smooth_crosscurves [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP50 Vertical axis of symmetry vs. no axis of symmetry.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 230.

CROSSREFS

BP152 is the same solution (with the sides switched), using connected shapes and without black filling.

BP1206 was created to be a slightly different version of this: "vertical axis of symmetry vs. no vertical axis of symmetry." (That less specific solution fits this Bongard Problem as well.)

Adjacent-numbered pages:
BP45 BP46 BP47 BP48 BP49  *  BP51 BP52 BP53 BP54 BP55

KEYWORD

nice, stretch, left-narrow, finished, traditional, bongard

CONCEPT symmetry_axis (info | search),
symmetry (info | search)

WORLD

curves_and_fill_shapes_separate_drawing [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP328 All sides are equal vs. all angles are equal.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP323 BP324 BP325 BP326 BP327  *  BP329 BP330 BP331 BP332 BP333

KEYWORD

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

CONCEPT angle (info | search),
length_line_or_curve (info | search),
same_feature (info | search),
same (info | search)

WORLD

polygon_outline [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP334 Odd number of dots vs. even number of dots.
(edit; present; nest [left/right]; search; history)
CROSSREFS

See BP334 for a version of the same idea, but using arbitrary shapes instead of dots.

Adjacent-numbered pages:
BP329 BP330 BP331 BP332 BP333  *  BP335 BP336 BP337 BP338 BP339

KEYWORD

precise, allsorted, number, math, left-narrow, right-narrow, right-null, help, traditional, preciseworld

CONCEPT even_odd (info | search)

WORLD

dots [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

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

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

BP356 Object at lower-right fits as n-th item in the top row of objects, where n is the number of dots at lower-left vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples have a number of dots in the bottom left corner, an object in the bottom right corner, and a sequence of object at the top.

CROSSREFS

Adjacent-numbered pages:
BP351 BP352 BP353 BP354 BP355  *  BP357 BP358 BP359 BP360 BP361

KEYWORD

nice, creativeexamples, left-narrow, structure, traditional, rules, miniworlds

CONCEPT fractal (info | search),
iteration (info | search),
tracing_line_or_curve (info | search),
feature_cluster (info | search),
shape_cluster (info | search),
cluster (info | search)

AUTHOR

Aaron David Fairbanks

BP373 Intersection (logical conjunction) vs. union (logical disjunction).
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP368 BP369 BP370 BP371 BP372  *  BP374 BP375 BP376 BP377 BP378

KEYWORD

abstract, anticomputer, concept, creativeexamples, left-narrow, right-narrow, contributepairs, traditional, miniworlds, dithering

CONCEPT set_intersection (info | search),
set_union (info | search)

AUTHOR

Aaron David Fairbanks

BP384 Square number of dots vs. non-square number of dots.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Problem are a collection of dots.


An equivalent solution is "Dots can be arranged into a square lattice whose convex hull is a square vs. not so". - Leo Crabbe, Aug 01 2020

CROSSREFS

Adjacent-numbered pages:
BP379 BP380 BP381 BP382 BP383  *  BP385 BP386 BP387 BP388 BP389

EXAMPLE

A single dot fits because 1 = 1*1.

A pair of dots does not fit because there is no integer x such that 2 = x*x.

KEYWORD

nice, precise, allsorted, number, math, left-narrow, left-null, help, traditional, preciseworld, collection

CONCEPT square_number (info | search)

WORLD

dots [smaller | same | bigger]

AUTHOR

Jago Collins

BP386 Lower shape can be used as a tile to build the upper one vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP381 BP382 BP383 BP384 BP385  *  BP387 BP388 BP389 BP390 BP391

KEYWORD

nice, precise, allsorted, left-narrow, perfect, pixelperfect, orderedpair, traditional, preciseworld, left-listable, right-listable

CONCEPT tiling (info | search)

AUTHOR

Jago Collins

( next )     page 1 2 3 4 5

Welcome | Solve | Browse | Lookup | Recent | Links | Register | Contact
Contribute | Keywords | Concepts | Worlds | Ambiguities | Transformations | Invalid Problems | Style Guide | Goals | Glossary