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Search: concept:cluster
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BP61 A line separates the crosses in half vs. a line does not separate the crosses in half.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 234.

CROSSREFS

Adjacent-numbered pages:
BP56 BP57 BP58 BP59 BP60  *  BP62 BP63 BP64 BP65 BP66

KEYWORD

finished, traditional, bongard

CONCEPT sides_of_line (info | search),
shape_cluster (info | search),
cluster (info | search),
same_number (info | search),
same (info | search)

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

BP66 Unconnected circles on a horizontal line vs. unconnected circles on a vertical line.
(edit; present; nest [left/right]; search; history)
REFERENCE

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

CROSSREFS

Adjacent-numbered pages:
BP61 BP62 BP63 BP64 BP65  *  BP67 BP68 BP69 BP70 BP71

KEYWORD

noisy, finished, traditional, bongard

CONCEPT collinear (info | search),
horizontal (info | search),
on_line_or_curve (info | search),
shape_cluster (info | search),
cluster (info | search),
vertical (info | search)

WORLD

[smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP81 Dark figures can be divided from outline figures by a straight line vs. convex hulls of filled and outlined figures overlap.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 240.

CROSSREFS

Adjacent-numbered pages:
BP76 BP77 BP78 BP79 BP80  *  BP82 BP83 BP84 BP85 BP86

KEYWORD

finished, traditional, bongard

CONCEPT convex_hull (info | search),
separable_entangled (info | search),
sides_of_line (info | search),
feature_cluster (info | search),
cluster_of_one (info | search),
cluster (info | search),
imagined_line_or_curve (info | search),
imagined_entity (info | search),
objects_overlap (info | search),
overlap (info | search)

AUTHOR

Mikhail M. Bongard

BP83 A circle is inside of a figure made by crosses vs. a circle is outside of figures made by crosses.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 241.

CROSSREFS

Adjacent-numbered pages:
BP78 BP79 BP80 BP81 BP82  *  BP84 BP85 BP86 BP87 BP88

KEYWORD

finished, traditional, bongard

CONCEPT convex_hull (info | search),
inside (info | search),
cluster_of_one (info | search),
cluster (info | search)

WORLD

[smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP84 A quadrangle is outside of a figure made by circles vs. a quadrangle is inside of a figure made by circles.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 241.

CROSSREFS

Adjacent-numbered pages:
BP79 BP80 BP81 BP82 BP83  *  BP85 BP86 BP87 BP88 BP89

KEYWORD

finished, traditional, bongard

CONCEPT convex_hull (info | search),
interior_exterior (info | search),
cluster (info | search)

AUTHOR

Mikhail M. Bongard

BP89 Three parts vs. five parts.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 243.

CROSSREFS

Adjacent-numbered pages:
BP84 BP85 BP86 BP87 BP88  *  BP90 BP91 BP92 BP93 BP94

KEYWORD

number, finished, traditional, bongard

CONCEPT number (info | search),
feature_cluster (info | search),
cluster_of_one (info | search),
cluster (info | search),
three (info | search),
five (info | search)

AUTHOR

Mikhail M. Bongard

BP90 Three parts vs. four parts.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 243.

CROSSREFS

Adjacent-numbered pages:
BP85 BP86 BP87 BP88 BP89  *  BP91 BP92 BP93 BP94 BP95

KEYWORD

number, finished, traditional, bongard

CONCEPT number (info | search),
outlined_filled (info | search),
separation_of_joined_objects (info | search),
feature_cluster (info | search),
cluster_of_one (info | search),
cluster (info | search),
texture (info | search),
three (info | search),
four (info | search)

AUTHOR

Mikhail M. Bongard

BP99 Outlines made by triangles and circles intersect vs. outlines made by triangles and circles do not intersect.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 246.

CROSSREFS

Adjacent-numbered pages:
BP94 BP95 BP96 BP97 BP98  *  BP100 BP101 BP102 BP103 BP104

KEYWORD

finished, traditional, bongard

CONCEPT collinear (info | search),
x-crossing (info | search),
cluster (info | search)

AUTHOR

Mikhail M. Bongard

BP128 Same objects inside and outside the large shape vs. not same objects inside and outside the large shape.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP123 BP124 BP125 BP126 BP127  *  BP129 BP130 BP131 BP132 BP133

KEYWORD

noisy, traditional

CONCEPT inside (info | search),
interior_exterior (info | search),
outlined_filled (info | search),
shape_cluster (info | search),
cluster (info | search),
same_number (info | search),
same (info | search),
texture (info | search)

AUTHOR

Douglas R. Hofstadter

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