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BP10 Approximately triangular outline vs. approximately convex quadrilateral outline.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Bongard Problem are shape outlines.

REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 217.

CROSSREFS

Adjacent-numbered pages:
BP5 BP6 BP7 BP8 BP9  *  BP11 BP12 BP13 BP14 BP15

KEYWORD

easy, fuzzy, noisy, number, finished, traditional, bongard

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

WORLD

shape_outline [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

BP37 Triangle above circle vs. circle above triangle.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 226.

CROSSREFS

Adjacent-numbered pages:
BP32 BP33 BP34 BP35 BP36  *  BP38 BP39 BP40 BP41 BP42

KEYWORD

noisy, spectrum, finished, traditional, continuous, viceversa, bongard

CONCEPT above_below (info | search),
triangle (info | search),
quantity_comparison (info | search)

WORLD

one_circle_one_square_one_eq-tri_small_outlines [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP40 Three points on a straight line vs. no three points on a straight line.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 227.

CROSSREFS

Adjacent-numbered pages:
BP35 BP36 BP37 BP38 BP39  *  BP41 BP42 BP43 BP44 BP45

KEYWORD

noisy, finished, traditional, bongard

CONCEPT collinear (info | search),
three (info | search),
four (info | search)

WORLD

four_dots [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP42 Points inside the figure outline are on a straight line vs. points inside the figure outline are not on a straight line.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 227.

CROSSREFS

Adjacent-numbered pages:
BP37 BP38 BP39 BP40 BP41  *  BP43 BP44 BP45 BP46 BP47

KEYWORD

noisy, finished, traditional, bongard

CONCEPT collinear (info | search),
interior_exterior (info | search),
shape_cluster (info | search),
cluster (info | search)

WORLD

dots_and_outline_three_are_nested [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP48 Solid dark figures above the outline figures vs. outline figures above the solid dark figures.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 229.

CROSSREFS

Adjacent-numbered pages:
BP43 BP44 BP45 BP46 BP47  *  BP49 BP50 BP51 BP52 BP53

KEYWORD

noisy, finished, traditional, viceversa, bongard

CONCEPT above_below (info | search),
average (info | search),
outlined_filled (info | search),
feature_cluster (info | search),
cluster (info | search),
texture (info | search)

WORLD

circle_square_eq-tri_small_some_outline_some_fill [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP58 Solid dark quadrangles are identical vs. solid dark quadrangles are different.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 233.

CROSSREFS

Adjacent-numbered pages:
BP53 BP54 BP55 BP56 BP57  *  BP59 BP60 BP61 BP62 BP63

KEYWORD

noisy, finished, traditional, bongard

CONCEPT identical (info | search),
outlined_filled (info | search),
square (info | search),
feature_cluster (info | search),
cluster (info | search),
same_shape (info | search),
same (info | search),
texture (info | search)

AUTHOR

Mikhail M. Bongard

BP60 Some similar figures vs. no similar figures.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 233.

CROSSREFS

Adjacent-numbered pages:
BP55 BP56 BP57 BP58 BP59  *  BP61 BP62 BP63 BP64 BP65

KEYWORD

noisy, finished, traditional, bongard

CONCEPT similar_shape (info | search),
similar (info | search)

WORLD

outlines [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP64 A cross is located on the extension of the ellipse axis vs. a circle is located on the extension of the ellipse axis.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 235.

CROSSREFS

Adjacent-numbered pages:
BP59 BP60 BP61 BP62 BP63  *  BP65 BP66 BP67 BP68 BP69

KEYWORD

noisy, dual, finished, orderedtriplet, traditional, bongard

CONCEPT collinear (info | search),
imagined_line_or_curve (info | search),
imagined_entity (info | search)

WORLD

[smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP65 A set of triangles elongated horizontally vs. a set of triangles elongated vertically.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 235.

CROSSREFS

Adjacent-numbered pages:
BP60 BP61 BP62 BP63 BP64  *  BP66 BP67 BP68 BP69 BP70

KEYWORD

noisy, spectrum, rotate, finished, traditional, viceversa, bongard

CONCEPT convex_hull (info | search),
elongated_compact (info | search),
horizontal (info | search),
cluster (info | search),
similar_feature (info | search),
similar (info | search),
vertical (info | search)

WORLD

[smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

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