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BP14 All big individual figures vs. all small individual figures.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Problem show one or more connected figures made up of lines.

Some big shapes and some small shapes would be ambiguous.

REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 218.

CROSSREFS

See BP2 for the same idea using one shape.

Adjacent-numbered pages:
BP9 BP10 BP11 BP12 BP13  *  BP15 BP16 BP17 BP18 BP19

KEYWORD

fuzzy, size, stable, finished, traditional, bongard

CONCEPT all (info | search),
length_line_or_curve (info | search),
size (info | search)

WORLD

curves_drawing [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP15 Closed shape outline vs. non-closed curve.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Bongard Problem are non-self-intersecting curves.

REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 218.

CROSSREFS

Adjacent-numbered pages:
BP10 BP11 BP12 BP13 BP14  *  BP16 BP17 BP18 BP19 BP20

KEYWORD

nice, unstable, world, finished, traditional, bongard

CONCEPT closed_open (info | search),
hole (info | search),
loop (info | search)

WORLD

curve_or_outline [smaller | same | bigger]
zoom in left (shape_outline) | zoom in right (curve)

AUTHOR

Mikhail M. Bongard

BP17 Shape with a reflex corner vs. shape without a reflex corner.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Bongard Problem are outlines of shapes.

REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 219.

CROSSREFS

Adjacent-numbered pages:
BP12 BP13 BP14 BP15 BP16  *  BP18 BP19 BP20 BP21 BP22

KEYWORD

finished, traditional, bongard

CONCEPT acute (info | search),
angle (info | search),
indentation (info | search)

WORLD

shape_outline [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP18 "Pinched" shape (drastically thinner somewhere in the middle than on the ends) vs. non-pinched shape.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Bongard Problem are oblong outlines of shapes.

REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 219.

CROSSREFS

Adjacent-numbered pages:
BP13 BP14 BP15 BP16 BP17  *  BP19 BP20 BP21 BP22 BP23

KEYWORD

finished, traditional, bongard

CONCEPT neck_narrowing (info | search)

WORLD

elongated_outline [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP19 Horizontal pinch vs. vertical pinch.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Bongard Problem are outlines of shapes. More specifically, all examples have a thin horizontal or vertical bridge in the middle connecting two wide ends.

REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 220.

CROSSREFS

Adjacent-numbered pages:
BP14 BP15 BP16 BP17 BP18  *  BP20 BP21 BP22 BP23 BP24

KEYWORD

dual, rotate, finished, traditional, bongard

CONCEPT horizontal (info | search),
neck_narrowing (info | search),
vertical (info | search)

WORLD

[smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP21 Small shape present vs. all shapes large.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this problem include three or fewer outlines of circles and (non-skinny) triangles.

REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 220.

CROSSREFS

Adjacent-numbered pages:
BP16 BP17 BP18 BP19 BP20  *  BP22 BP23 BP24 BP25 BP26

KEYWORD

finished, traditional, bongard

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

WORLD

circle_triangle_outlines [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP22 All shapes approximately the same size vs. shapes of different size.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this problem include three or fewer outlines of circles, (near-square) quadrilaterals and (non-skinny) triangles.

REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 221.

CROSSREFS

Adjacent-numbered pages:
BP17 BP18 BP19 BP20 BP21  *  BP23 BP24 BP25 BP26 BP27

KEYWORD

finished, traditional, bongard

CONCEPT all (info | search),
average (info | search),
size (info | search)

WORLD

circle_triangle_squareish_outlines [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP23 One vs. two figures.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Problem comprise one or two shape outlines.

REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 221.

CROSSREFS

Adjacent-numbered pages:
BP18 BP19 BP20 BP21 BP22  *  BP24 BP25 BP26 BP27 BP28

KEYWORD

easy, nice, precise, number, world, gap, finished, traditional, bongard

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

WORLD

outlines [smaller | same | bigger]
zoom in left (shape_outline) | zoom in right (two_outlines)

AUTHOR

Mikhail M. Bongard

BP24 A circle vs. no circle.
(edit; present; nest [left/right]; search; history)
COMMENTS

All small squares appearing in this problem are axis-aligned.

REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 221.

CROSSREFS

Adjacent-numbered pages:
BP19 BP20 BP21 BP22 BP23  *  BP25 BP26 BP27 BP28 BP29

KEYWORD

finished, traditional, bongard

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

WORLD

circle_square_eq-tri_small_outlines [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP27 More solid black figures vs. more outline figures.
(edit; present; nest [left/right]; search; history)
COMMENTS

All small squares appearing in this problem are axis-aligned.

All examples have at least one filled shape and one outline.

REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 222.

CROSSREFS

Adjacent-numbered pages:
BP22 BP23 BP24 BP25 BP26  *  BP28 BP29 BP30 BP31 BP32

KEYWORD

finished, traditional, bongard

CONCEPT number (info | search),
outlined_filled (info | search),
feature_cluster (info | search),
cluster (info | search),
texture (info | search),
quantity_comparison (info | search)

WORLD

circle_square_eq-tri_small_some_outline_some_fill [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

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