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BP11 Thin and elongated vs. compact.
(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:
BP6 BP7 BP8 BP9 BP10  *  BP12 BP13 BP14 BP15 BP16

KEYWORD

nice, fuzzy, spectrum, stretch, stable, world, finished, traditional, bongard

CONCEPT elongated_compact (info | search)

WORLD

shape_outline [smaller | same | bigger]
zoom in left (elongated_outline)

AUTHOR

Mikhail M. Bongard

BP12 Thin elongated convex hull vs. compact convex hull.
(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:
BP7 BP8 BP9 BP10 BP11  *  BP13 BP14 BP15 BP16 BP17

KEYWORD

nice, fuzzy, spectrum, stretch, finished, traditional, bongard

CONCEPT convex_hull (info | search),
elongated_compact (info | search)

WORLD

shape_outline [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

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

BP16 Clockwise spiraling curve vs. counter-clockwise spiraling curve.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Bongard Problem are non-self-intersecting spiraling curves, perhaps wiggly, perhaps with corners.

REFERENCE

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

CROSSREFS

Adjacent-numbered pages:
BP11 BP12 BP13 BP14 BP15  *  BP17 BP18 BP19 BP20 BP21

KEYWORD

nice, handed, gap, finished, traditional, bongard

CONCEPT turn_orientation (info | search),
tracing_line_or_curve (info | search),
rotational_direction (info | search),
direction (info | search)

WORLD

spiral [smaller | same | bigger]

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

BP20 Both dots touching same bulb vs. dots on opposite bulbs.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Bongard Problem are outlines of smooth shapes with a pinch in the middle and with two tiny black circles attached to the outside of the shape (tangent).

A shape with either dot tangent to the the valley section would be ambiguous.

REFERENCE

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

CROSSREFS

Adjacent-numbered pages:
BP15 BP16 BP17 BP18 BP19  *  BP21 BP22 BP23 BP24 BP25

KEYWORD

nice, finished, traditional, bongard

CONCEPT near_far (info | search),
neck_narrowing (info | search),
separation_of_joined_objects (info | search)

AUTHOR

Mikhail M. Bongard

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