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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

BP30 A curve with one self-crossing vs. a curve without a self-crossing.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 223.

CROSSREFS

BP1232 is almost exactly the same, but allowing for multiple curves and multiple self-crossings.

Adjacent-numbered pages:
BP25 BP26 BP27 BP28 BP29  *  BP31 BP32 BP33 BP34 BP35

KEYWORD

nice, finished, traditional, bongard

CONCEPT x-crossing (info | search),
existence (info | search)

WORLD

crosscurve [smaller | same | bigger]
zoom in right (curve_or_outline)

AUTHOR

Mikhail M. Bongard

BP50 Vertical axis of symmetry vs. no axis of symmetry.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 230.

CROSSREFS

BP152 is the same solution (with the sides switched), using connected shapes and without black filling.

BP1206 was created to be a slightly different version of this: "vertical axis of symmetry vs. no vertical axis of symmetry." (That less specific solution fits this Bongard Problem as well.)

Adjacent-numbered pages:
BP45 BP46 BP47 BP48 BP49  *  BP51 BP52 BP53 BP54 BP55

KEYWORD

nice, stretch, left-narrow, finished, traditional, bongard

CONCEPT symmetry_axis (info | search),
symmetry (info | search)

WORLD

curves_and_fill_shapes_separate_drawing [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP62 Ends of the curve are far apart vs. ends of the curve are close together.
(edit; present; nest [left/right]; search; history)
REFERENCE

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

CROSSREFS

Adjacent-numbered pages:
BP57 BP58 BP59 BP60 BP61  *  BP63 BP64 BP65 BP66 BP67

KEYWORD

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

CONCEPT line_or_curve_endpoint (info | search),
near_far (info | search)

WORLD

curve [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP72 Ends of the curve are parallel vs. ends of the curve are perpendicular.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 237.

CROSSREFS

Adjacent-numbered pages:
BP67 BP68 BP69 BP70 BP71  *  BP73 BP74 BP75 BP76 BP77

KEYWORD

nice, precise, unstable, ignoreimperfections, finished, traditional, bongard

CONCEPT slope_at_endpoint (info | search),
tracing_line_or_curve (info | search),
parallel (info | search),
perpendicular (info | search)

WORLD

curve [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP91 Three identical elements vs. four identical elements.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 244.

CROSSREFS

BP1226 is "three identical elements vs. other number of identical elements".

Adjacent-numbered pages:
BP86 BP87 BP88 BP89 BP90  *  BP92 BP93 BP94 BP95 BP96

KEYWORD

number, ignoreimperfections, finished, traditional, bongard

CONCEPT indentation (info | search),
on_line_or_curve (info | search),
number (info | search),
protrusion (info | search),
separation_of_joined_objects (info | search),
same (info | search),
three (info | search),
four (info | search)

WORLD

curves_and_fill_shapes_drawing [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP119 A small correction will result in a single circle vs. no small correction will result in a single circle.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP114 BP115 BP116 BP117 BP118  *  BP120 BP121 BP122 BP123 BP124

KEYWORD

fuzzy, traditional

CONCEPT existence (info | search),
imperfection_small (info | search)

WORLD

curves_drawing [smaller | same | bigger]

AUTHOR

Douglas R. Hofstadter

BP183 Same curvature close to the middle vs. change of curvature close to the middle.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP178 BP179 BP180 BP181 BP182  *  BP184 BP185 BP186 BP187 BP188

KEYWORD

noisy, traditional

CONCEPT sides_of_line (info | search),
tangent (info | search),
imagined_point (info | search),
imagined_line_or_curve (info | search),
imagined_entity (info | search)

WORLD

curve [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

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