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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

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

BP23 One vs. two figures.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Problem comprise one or two shape outlines.

REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 221.

CROSSREFS

Adjacent-numbered pages:
BP18 BP19 BP20 BP21 BP22  *  BP24 BP25 BP26 BP27 BP28

KEYWORD

easy, nice, precise, number, world, gap, finished, traditional, bongard

CONCEPT number (info | search),
one (info | search),
two (info | search)

WORLD

outlines [smaller | same | bigger]
zoom in left (shape_outline) | zoom in right (two_outlines)

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

BP32 A sharp projection vs. no sharp projection.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 224.

CROSSREFS

Adjacent-numbered pages:
BP27 BP28 BP29 BP30 BP31  *  BP33 BP34 BP35 BP36 BP37

KEYWORD

nice, notso, finished, traditional, bongard

CONCEPT acute (info | search),
angle (info | search),
cusp (info | search),
protrusion (info | search)

WORLD

shape_outline [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP33 Acute angle vs. no acute angle.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 224.

CROSSREFS

Adjacent-numbered pages:
BP28 BP29 BP30 BP31 BP32  *  BP34 BP35 BP36 BP37 BP38

KEYWORD

nice, stretch, finished, traditional, bongard

CONCEPT acute (info | search),
angle (info | search),
existence (info | search)

WORLD

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

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

BP60 Some similar figures vs. no similar figures.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 233.

CROSSREFS

Adjacent-numbered pages:
BP55 BP56 BP57 BP58 BP59  *  BP61 BP62 BP63 BP64 BP65

KEYWORD

noisy, finished, traditional, bongard

CONCEPT similar_shape (info | search),
similar (info | search)

WORLD

outlines [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

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