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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

BP8 Positioned right vs. positioned left.
(edit; present; nest [left/right]; search; history)
COMMENTS

Center of shape's x coordinate is higher than zero (where zero is the middle of the picture).

All examples in this Bongard Problem are small shape outlines.

This is the first Bongard Problem in which absolute positioning is relevant.

Shapes close to the middle would be ambiguous.

REFERENCE

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

CROSSREFS

Adjacent-numbered pages:
BP3 BP4 BP5 BP6 BP7  *  BP9 BP10 BP11 BP12 BP13

KEYWORD

easy, nice, dual, handed, leftright, boundingbox, finished, traditional, absoluteposition, bongard

CONCEPT absolute_position (info | search),
bounding_box (info | search),
coordinate (info | search),
left_right (info | search)

WORLD

small_outline [smaller | same | bigger]

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

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

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

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