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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

BP6 Triangle vs. quadrilateral.
(edit; present; nest [left/right]; search; history)
COMMENTS

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

REFERENCE

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

CROSSREFS

BP1211 is "triangle vs. anything else".

Adjacent-numbered pages:
BP1 BP2 BP3 BP4 BP5  *  BP7 BP8 BP9 BP10 BP11

KEYWORD

easy, nice, precise, number, ignoreimperfections, finished, traditional, preciseworld, bongard

CONCEPT number (info | search),
triangle (info | search),
three (info | search),
four (info | search)

WORLD

Multiple options:
polygon_outline_or_fill [smaller | same | bigger],
triangle_or_quadrilateral_outline_or_fill [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

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

BP201 Two of the shapes make tiles along their border lines vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP196 BP197 BP198 BP199 BP200  *  BP202 BP203 BP204 BP205 BP206

KEYWORD

noisy, traditional

CONCEPT rotation_required (info | search),
tiling (info | search),
imagined_motion (info | search),
motion (info | search)

WORLD

fill_shapes [smaller | same | bigger]

AUTHOR

Giuseppe Insana

BP322 One outer outline vs. more than one outer outline.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP317 BP318 BP319 BP320 BP321  *  BP323 BP324 BP325 BP326 BP327

KEYWORD

nice, precise, allsorted, traditional

CONCEPT separated_regions (info | search),
interior_exterior (info | search),
outer_outline (info | search),
recursion (info | search),
one (info | search)

WORLD

nest_shapes [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP335 Tessellates the plane vs. does not tessellate the plane.
(edit; present; nest [left/right]; search; history)
COMMENTS

EX7152 is an example of a shape than can be stretched in such a way that it no longer tessellates the plane. This is a property that is only exhibited by shapes that tessellate with rotated copies of themselves. - Leo Crabbe, Mar 05 2021

CROSSREFS

Adjacent-numbered pages:
BP330 BP331 BP332 BP333 BP334  *  BP336 BP337 BP338 BP339 BP340

KEYWORD

nice, stretch, unstable, math, hardsort, creativeexamples, proofsrequired, perfect, pixelperfect, traditional

CONCEPT infinite_plane (info | search),
tessellation (info | search),
tiling (info | search)

WORLD

shape [smaller | same | bigger]
zoom in left (fill_shape)

AUTHOR

Aaron David Fairbanks

BP343 No two shapes are the same vs. at least two shapes are the same.
(edit; present; nest [left/right]; search; history)
CROSSREFS

BP57 is the same solution except all examples have two shapes.

Adjacent-numbered pages:
BP338 BP339 BP340 BP341 BP342  *  BP344 BP345 BP346 BP347 BP348

KEYWORD

traditional, collection

CONCEPT existence (info | search),
identical (info | search),
same_shape (info | search),
same (info | search),
two (info | search)

WORLD

shapes [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

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