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| BP19 |
| Horizontal pinch vs. vertical pinch. |
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COMMENTS
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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. |
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REFERENCE
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M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 220. |
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CROSSREFS
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Adjacent-numbered pages:
BP14 BP15 BP16 BP17 BP18 * BP20 BP21 BP22 BP23 BP24
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KEYWORD
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dual, rotate, finished, traditional, bongard
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CONCEPT
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horizontal (info | search),
neck_narrowing (info | search),
vertical (info | search)
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WORLD
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[smaller | same | bigger]
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AUTHOR
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Mikhail M. Bongard
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| BP18 |
| "Pinched" shape (drastically thinner somewhere in the middle than on the ends) vs. non-pinched shape. |
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| BP17 |
| Shape with a reflex corner vs. shape without a reflex corner. |
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| BP16 |
| Clockwise spiraling curve vs. counter-clockwise spiraling curve. |
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COMMENTS
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All examples in this Bongard Problem are non-self-intersecting spiraling curves, perhaps wiggly, perhaps with corners. |
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REFERENCE
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M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 219. |
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CROSSREFS
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Adjacent-numbered pages:
BP11 BP12 BP13 BP14 BP15 * BP17 BP18 BP19 BP20 BP21
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KEYWORD
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nice, handed, gap, finished, traditional, bongard
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CONCEPT
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turn_orientation (info | search),
tracing_line_or_curve (info | search),
rotational_direction (info | search),
direction (info | search)
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WORLD
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spiral [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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| 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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| BP13 |
| Tall rectangle OR wide ellipse vs. wide rectangle OR tall ellipse. |
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COMMENTS
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All examples in this Bongard Problem are outlines of ellipses or rectangles aligned to the x-y-axes. |
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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:
BP8 BP9 BP10 BP11 BP12 * BP14 BP15 BP16 BP17 BP18
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KEYWORD
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precise, stretch, finished, traditional, preciseworld, bongard
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CONCEPT
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or (info | search),
horizontal (info | search),
line_slope (info | search),
vertical (info | search)
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WORLD
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rectangle_or_ellipse_outline_axis_aligned [smaller | same | bigger]
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AUTHOR
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Mikhail M. Bongard
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| BP12 |
| Thin elongated convex hull vs. compact convex hull. |
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COMMENTS
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All examples in this Bongard Problem are shape outlines. |
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REFERENCE
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M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 217. |
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CROSSREFS
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Adjacent-numbered pages:
BP7 BP8 BP9 BP10 BP11 * BP13 BP14 BP15 BP16 BP17
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KEYWORD
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nice, fuzzy, spectrum, stretch, finished, traditional, bongard
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CONCEPT
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convex_hull (info | search),
elongated_compact (info | search)
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WORLD
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shape_outline [smaller | same | bigger]
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AUTHOR
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Mikhail M. Bongard
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| BP11 |
| Thin and elongated vs. compact. |
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COMMENTS
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All examples in this Bongard Problem are shape outlines. |
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REFERENCE
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M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 217. |
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CROSSREFS
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Adjacent-numbered pages:
BP6 BP7 BP8 BP9 BP10 * BP12 BP13 BP14 BP15 BP16
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KEYWORD
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nice, fuzzy, spectrum, stretch, stable, world, finished, traditional, bongard
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CONCEPT
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elongated_compact (info | search)
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WORLD
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shape_outline [smaller | same | bigger]
zoom in left (elongated_outline)
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AUTHOR
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Mikhail M. Bongard
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| BP10 |
| Approximately triangular outline vs. approximately convex quadrilateral outline. |
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COMMENTS
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All examples in this Bongard Problem are shape outlines. |
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REFERENCE
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M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 217. |
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CROSSREFS
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Adjacent-numbered pages:
BP5 BP6 BP7 BP8 BP9 * BP11 BP12 BP13 BP14 BP15
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KEYWORD
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easy, fuzzy, noisy, number, finished, traditional, bongard
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CONCEPT
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number (info | search),
three (info | search),
four (info | search)
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WORLD
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shape_outline [smaller | same | bigger]
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AUTHOR
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Mikhail M. Bongard
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