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BP2 Big vs. small.
(edit; present; nest [left/right]; search; history)
COMMENTS

The meaning of "big" left intentionally vague. There are various specific ways to define size, such as diameter, minimum distance between points on edge, and size of smallest bounding circle.

All examples in this Bongard Problem are single simple shapes, either outlines or solid black.

All examples on the same side are approximately the same size.

REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 214.

CROSSREFS

Adjacent-numbered pages:
BP1  *  BP3 BP4 BP5 BP6 BP7

KEYWORD

easy, nice, fuzzy, spectrum, size, stable, finished, traditional, continuous, bongard

CONCEPT size (info | search)

WORLD

outline_or_fill_shape [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP3 Hollow outline vs. filled in solid.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Bongard Problem are single simple shapes.

REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 214.

CROSSREFS

Adjacent-numbered pages:
BP1 BP2  *  BP4 BP5 BP6 BP7 BP8

KEYWORD

easy, nice, precise, allsorted, world, gap, finished, traditional, preciseworld, bongard

CONCEPT outlined_filled (info | search),
texture (info | search)

WORLD

outline_or_fill_shape [smaller | same | bigger]
zoom in left (shape_outline) | zoom in right (fill_shape)

AUTHOR

Mikhail M. Bongard

BP4 Convex vs. concave.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Problem are outlines of shapes or solid black shapes.

REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 215.

CROSSREFS

BP136 is the same solution (flipped) but with only polygonal outlines and also with extraneous dots distracting from the solution.

Adjacent-numbered pages:
BP1 BP2 BP3  *  BP5 BP6 BP7 BP8 BP9

KEYWORD

easy, nice, precise, unstable, right-narrow, finished, traditional, bongard

CONCEPT concave_convex_angle (info | search)

WORLD

outline_or_fill_shape [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP5 Is polygon vs. is smooth without straight lines or corners.
(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. 215.

CROSSREFS

Adjacent-numbered pages:
BP1 BP2 BP3 BP4  *  BP6 BP7 BP8 BP9 BP10

KEYWORD

easy, nice, ignoreimperfections, finished, traditional, bongard

CONCEPT curved_straight (info | search)

WORLD

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

AUTHOR

Mikhail M. Bongard

BP9 Non-wiggly outline vs. wiggly outline.
(edit; present; nest [left/right]; search; history)
COMMENTS

"Wiggly" means a high number of small concavities adjacent to one another all around the outline.

All examples in this Bongard Problem are shape outlines.

Shapes with outlines that are only wiggly within partial sections would be ambiguous. Shapes with outlines that have many medium-size concavities would be ambiguous.

REFERENCE

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

CROSSREFS

Adjacent-numbered pages:
BP4 BP5 BP6 BP7 BP8  *  BP10 BP11 BP12 BP13 BP14

KEYWORD

easy, nice, fuzzy, stable, world, finished, traditional, bongard

CONCEPT curve_texture (info | search),
texture (info | search)

WORLD

Multiple options:
mediumsize_centered_outline [smaller | same | bigger],
shape_outline [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

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

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

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

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