Search: +meta:BP1140
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| BP1 |
| Empty image vs. non-empty image. |
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COMMENTS
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The first Bongard Problem.
All examples in this Bongard Problem are line drawings (one or more connected figures made up of curved and non-curved lines). |
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REFERENCE
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M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 214. |
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CROSSREFS
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Adjacent-numbered pages:
* BP2 BP3 BP4 BP5 BP6
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EXAMPLE
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A circle fits on the right because it is not nothing. |
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KEYWORD
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easy, nice, precise, allsorted, unstable, world, left-narrow, left-finite, left-full, left-null, perfect, pixelperfect, finished, traditional, stableworld, deformstable, bongard
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CONCEPT
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empty (info | search),
existence (info | search),
zero (info | search)
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WORLD
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zoom in left (blank_image) | zoom in right (curves_drawing)
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AUTHOR
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Mikhail M. Bongard
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COMMENTS
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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. |
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REFERENCE
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M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 214. |
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CROSSREFS
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Adjacent-numbered pages:
BP1 * BP3 BP4 BP5 BP6 BP7
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KEYWORD
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easy, nice, fuzzy, spectrum, size, stable, finished, traditional, continuous, bongard
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CONCEPT
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size (info | search)
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WORLD
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outline_or_fill_shape [smaller | same | bigger]
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AUTHOR
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Mikhail M. Bongard
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| BP3 |
| Hollow outline vs. filled in solid. |
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COMMENTS
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All examples in this Bongard Problem are single simple shapes. |
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REFERENCE
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M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 214. |
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CROSSREFS
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Adjacent-numbered pages:
BP1 BP2 * BP4 BP5 BP6 BP7 BP8
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KEYWORD
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easy, nice, precise, allsorted, world, gap, finished, traditional, preciseworld, bongard
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CONCEPT
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outlined_filled (info | search),
texture (info | search)
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WORLD
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outline_or_fill_shape [smaller | same | bigger]
zoom in left (shape_outline) | zoom in right (fill_shape)
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AUTHOR
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Mikhail M. Bongard
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COMMENTS
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All examples in this Problem are outlines of shapes or solid black shapes. |
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REFERENCE
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M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 215. |
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CROSSREFS
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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
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KEYWORD
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easy, nice, precise, unstable, right-narrow, finished, traditional, bongard
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CONCEPT
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concave_convex_angle (info | search)
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WORLD
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outline_or_fill_shape [smaller | same | bigger]
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AUTHOR
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Mikhail M. Bongard
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| BP6 |
| Triangle vs. quadrilateral. |
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COMMENTS
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All examples in this Problem are outlines of polygons or solid black polygons. |
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REFERENCE
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M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 215. |
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CROSSREFS
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BP1211 is "triangle vs. anything else".
Adjacent-numbered pages:
BP1 BP2 BP3 BP4 BP5 * BP7 BP8 BP9 BP10 BP11
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KEYWORD
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easy, nice, precise, number, ignoreimperfections, finished, traditional, preciseworld, bongard
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CONCEPT
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number (info | search),
triangle (info | search),
three (info | search),
four (info | search)
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WORLD
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Multiple options:
polygon_outline_or_fill [smaller | same | bigger],
triangle_or_quadrilateral_outline_or_fill [smaller | same | bigger]
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AUTHOR
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Mikhail M. Bongard
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| BP14 |
| All big individual figures vs. all small individual figures. |
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COMMENTS
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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. |
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REFERENCE
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M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 218. |
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CROSSREFS
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See BP2 for the same idea using one shape.
Adjacent-numbered pages:
BP9 BP10 BP11 BP12 BP13 * BP15 BP16 BP17 BP18 BP19
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KEYWORD
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fuzzy, size, stable, finished, traditional, bongard
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CONCEPT
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all (info | search),
length_line_or_curve (info | search),
size (info | search)
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WORLD
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curves_drawing [smaller | same | bigger]
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AUTHOR
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Mikhail M. Bongard
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| BP15 |
| Closed shape outline vs. non-closed curve. |
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COMMENTS
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All examples in this Bongard Problem are non-self-intersecting curves. |
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REFERENCE
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M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 218. |
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CROSSREFS
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Adjacent-numbered pages:
BP10 BP11 BP12 BP13 BP14 * BP16 BP17 BP18 BP19 BP20
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KEYWORD
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nice, unstable, world, finished, traditional, bongard
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CONCEPT
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closed_open (info | search),
hole (info | search),
loop (info | search)
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WORLD
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curve_or_outline [smaller | same | bigger]
zoom in left (shape_outline) | zoom in right (curve)
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AUTHOR
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Mikhail M. Bongard
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| BP335 |
| Tessellates the plane vs. does not tessellate the plane. |
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COMMENTS
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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 |
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CROSSREFS
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Adjacent-numbered pages:
BP330 BP331 BP332 BP333 BP334 * BP336 BP337 BP338 BP339 BP340
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KEYWORD
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nice, stretch, unstable, math, hardsort, creativeexamples, proofsrequired, perfect, pixelperfect, traditional
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CONCEPT
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infinite_plane (info | search),
tessellation (info | search),
tiling (info | search)
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WORLD
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shape [smaller | same | bigger]
zoom in left (fill_shape)
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AUTHOR
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Aaron David Fairbanks
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