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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

BP30 A curve with one self-crossing vs. a curve without a self-crossing.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 223.

CROSSREFS

BP1232 is almost exactly the same, but allowing for multiple curves and multiple self-crossings.

Adjacent-numbered pages:
BP25 BP26 BP27 BP28 BP29  *  BP31 BP32 BP33 BP34 BP35

KEYWORD

nice, finished, traditional, bongard

CONCEPT x-crossing (info | search),
existence (info | search)

WORLD

crosscurve [smaller | same | bigger]
zoom in right (curve_or_outline)

AUTHOR

Mikhail M. Bongard

BP29 There are more small circles inside the figure outline than outside vs. there are fewer small circles inside the figure outline than outside.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 223.

CROSSREFS

Adjacent-numbered pages:
BP24 BP25 BP26 BP27 BP28  *  BP30 BP31 BP32 BP33 BP34

KEYWORD

spectrum, finished, traditional, discrete, viceversa, bongard

CONCEPT inside (info | search),
interior_exterior (info | search),
number (info | search),
shape_cluster (info | search),
cluster (info | search),
quantity_comparison (info | search)

WORLD

dot_outlines_and_larger_outline_nest [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP28 More solid black circles vs. more outline circles.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples have at least two filled shapes and two outlines.

REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 223.

CROSSREFS

Adjacent-numbered pages:
BP23 BP24 BP25 BP26 BP27  *  BP29 BP30 BP31 BP32 BP33

KEYWORD

spectrum, finished, traditional, discrete, viceversa, bongard

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

WORLD

circle_eq-tri_small_some_outline_some_fill [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

BP26 Solid black triangle vs. no solid black triangle.
(edit; present; nest [left/right]; search; history)
REFERENCE

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

CROSSREFS

Adjacent-numbered pages:
BP21 BP22 BP23 BP24 BP25  *  BP27 BP28 BP29 BP30 BP31

KEYWORD

finished, traditional, bongard

CONCEPT and (info | search),
existence (info | search),
outlined_filled (info | search),
feature_cluster (info | search),
cluster (info | search),
texture (info | search),
triangle (info | search)

WORLD

circle_eq-tri_small_some_outline_some_fill [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP25 Black figure is a triangle vs. black figure is a 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. 222.

CROSSREFS

Adjacent-numbered pages:
BP20 BP21 BP22 BP23 BP24  *  BP26 BP27 BP28 BP29 BP30

KEYWORD

noisy, finished, traditional, bongard

CONCEPT outlined_filled (info | search),
feature_cluster (info | search),
cluster (info | search),
texture (info | search),
triangle (info | search)

WORLD

circle_square_eq-tri_small_outlines_one_fill [smaller | same | bigger]

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

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

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

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