Search: concept:convex_hull
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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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| BP65 |
| A set of triangles elongated horizontally vs. a set of triangles elongated vertically. |
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REFERENCE
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M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 235. |
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CROSSREFS
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Adjacent-numbered pages:
BP60 BP61 BP62 BP63 BP64 * BP66 BP67 BP68 BP69 BP70
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KEYWORD
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noisy, spectrum, rotate, finished, traditional, viceversa, bongard
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CONCEPT
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convex_hull (info | search),
elongated_compact (info | search),
horizontal (info | search),
cluster (info | search),
similar_feature (info | search),
similar (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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| BP81 |
| Dark figures can be divided from outline figures by a straight line vs. convex hulls of filled and outlined figures overlap. |
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REFERENCE
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M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 240. |
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CROSSREFS
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Adjacent-numbered pages:
BP76 BP77 BP78 BP79 BP80 * BP82 BP83 BP84 BP85 BP86
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KEYWORD
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finished, traditional, bongard
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CONCEPT
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convex_hull (info | search),
separable_entangled (info | search),
sides_of_line (info | search),
feature_cluster (info | search),
cluster_of_one (info | search),
cluster (info | search),
imagined_line_or_curve (info | search),
imagined_entity (info | search),
objects_overlap (info | search),
overlap (info | search)
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AUTHOR
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Mikhail M. Bongard
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| BP82 |
| The convex hull of the crosses forms an equilateral triangle vs. the convex hull of the crosses does not form an equilateral triangle. |
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REFERENCE
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M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 241. |
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CROSSREFS
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Adjacent-numbered pages:
BP77 BP78 BP79 BP80 BP81 * BP83 BP84 BP85 BP86 BP87
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KEYWORD
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noisy, notso, finished, traditional, bongard
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CONCEPT
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convex_hull (info | search),
equilateral_triangle (info | search),
triangle (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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| BP83 |
| A circle is inside of a figure made by crosses vs. a circle is outside of figures made by crosses. |
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| BP84 |
| A quadrangle is outside of a figure made by circles vs. a quadrangle is inside of a figure made by circles. |
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| BP97 |
| Triangles vs. circles. |
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REFERENCE
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M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 246. |
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CROSSREFS
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Adjacent-numbered pages:
BP92 BP93 BP94 BP95 BP96 * BP98 BP99 BP100 BP101 BP102
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KEYWORD
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easy, nice, finished, traditional, bongard
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CONCEPT
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convex_hull (info | search),
imagined_shape (info | search),
imagined_entity (info | search)
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AUTHOR
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Mikhail M. Bongard
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| BP138 |
| No dot well within the convex hull vs. at least one dot well within the convex hull. |
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