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BP7 Taller than wide vs. wider than tall.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Bongard Problem are oblong connected figures made up of some curves.

Shapes as tall as they are wide would be ambiguous.

REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 216.

CROSSREFS

Adjacent-numbered pages:
BP2 BP3 BP4 BP5 BP6  *  BP8 BP9 BP10 BP11 BP12

KEYWORD

easy, nice, dual, handed, rotate, stretch, finished, traditional, bongard

CONCEPT horizontal (info | search),
line_slope (info | search),
vertical (info | search),
quantity_comparison (info | search)

WORLD

Multiple options:
figure_made_of_curves [smaller | same | bigger],
oblong_axis_aligned_figure_made_of_curves [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP13 Tall rectangle OR wide ellipse vs. wide rectangle OR tall ellipse.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Bongard Problem are outlines of ellipses or rectangles aligned to the x-y-axes.

REFERENCE

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

CROSSREFS

Adjacent-numbered pages:
BP8 BP9 BP10 BP11 BP12  *  BP14 BP15 BP16 BP17 BP18

KEYWORD

precise, stretch, finished, traditional, preciseworld, bongard

CONCEPT or (info | search),
horizontal (info | search),
line_slope (info | search),
vertical (info | search)

WORLD

rectangle_or_ellipse_outline_axis_aligned [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

BP43 The vibration amplitude increases from left to right vs. the vibration amplitude decreases from left to right.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 228.

CROSSREFS

Adjacent-numbered pages:
BP38 BP39 BP40 BP41 BP42  *  BP44 BP45 BP46 BP47 BP48

KEYWORD

dual, handed, leftright, finished, traditional, viceversa, bongard

CONCEPT size_increase_decrease (info | search),
horizontal (info | search),
leftward_rightward (info | search),
regular_irregular_change (info | search),
tracing_line_or_curve (info | search),
wave (info | search)

WORLD

wave_horizontal_increase_or_decrease [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

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

BP95 Vertical hatched lines vs. horizontal hatched lines.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 245.

CROSSREFS

Adjacent-numbered pages:
BP90 BP91 BP92 BP93 BP94  *  BP96 BP97 BP98 BP99 BP100

KEYWORD

dual, rotate, finished, traditional, bongard

CONCEPT horizontal (info | search),
texture_area (info | search),
texture (info | search),
vertical (info | search)

AUTHOR

Mikhail M. Bongard

BP116 Polygon stands on side vs. polygon stands on vertex.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP111 BP112 BP113 BP114 BP115  *  BP117 BP118 BP119 BP120 BP121

KEYWORD

noisy, traditional

CONCEPT base (info | search),
horizontal (info | search),
uppermost_lowermost (info | search),
vertex_of_meeting_lines (info | search),
vertical (info | search)

AUTHOR

Douglas R. Hofstadter

BP132 Dots are vertices of a triangle standing on a side vs. dots are vertices of a triangle standing on a vertex.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP127 BP128 BP129 BP130 BP131  *  BP133 BP134 BP135 BP136 BP137

KEYWORD

noisy, traditional

CONCEPT base (info | search),
horizontal (info | search),
vertex_of_meeting_lines (info | search),
triangle (info | search),
vertical (info | search)

AUTHOR

Douglas R. Hofstadter

BP147 Three collinear and two others, the two are vertical vs. the two are horizontal.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP142 BP143 BP144 BP145 BP146  *  BP148 BP149 BP150 BP151 BP152

KEYWORD

traditional

CONCEPT collinear (info | search),
horizontal (info | search),
feature_cluster (info | search),
cluster (info | search),
vertical (info | search),
two (info | search),
three (info | search)

AUTHOR

Douglas R. Hofstadter

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