Search: keyword:precise
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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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| 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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| 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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| BP23 |
| One vs. two figures. |
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COMMENTS
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All examples in this Problem comprise one or two shape outlines. |
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REFERENCE
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M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 221. |
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CROSSREFS
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Adjacent-numbered pages:
BP18 BP19 BP20 BP21 BP22 * BP24 BP25 BP26 BP27 BP28
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KEYWORD
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easy, nice, precise, number, world, gap, finished, traditional, bongard
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CONCEPT
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number (info | search),
one (info | search),
two (info | search)
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WORLD
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outlines [smaller | same | bigger]
zoom in left (shape_outline) | zoom in right (two_outlines)
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AUTHOR
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Mikhail M. Bongard
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| BP31 |
| One line vs. two lines. |
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REFERENCE
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M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 224. |
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CROSSREFS
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Adjacent-numbered pages:
BP26 BP27 BP28 BP29 BP30 * BP32 BP33 BP34 BP35 BP36
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KEYWORD
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easy, precise, allsorted, left-narrow, right-narrow, pixelperfect, traditional, bongard
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CONCEPT
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distinguishing_crossing_curves (info | search),
one (info | search),
two (info | search)
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WORLD
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smooth_crosscurves [smaller | same | bigger]
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AUTHOR
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Mikhail M. Bongard
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| BP67 |
| The right branch begins at a higher point than the left branch vs. the right branch begins at a lower point than the left branch. |
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REFERENCE
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M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 236. |
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CROSSREFS
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Adjacent-numbered pages:
BP62 BP63 BP64 BP65 BP66 * BP68 BP69 BP70 BP71 BP72
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KEYWORD
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precise, spectrum, dual, handed, leftright, finished, traditional, continuous, viceversa, bongard
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CONCEPT
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above_below (info | search),
branch_point (info | search),
left_right (info | search),
on_sides_of_curve (info | search),
tracing_line_or_curve (info | search)
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WORLD
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curve_tree_one_branch_per_side [smaller | same | bigger]
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AUTHOR
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Mikhail M. Bongard
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| BP72 |
| Ends of the curve are parallel vs. ends of the curve are perpendicular. |
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REFERENCE
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M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 237. |
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CROSSREFS
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Adjacent-numbered pages:
BP67 BP68 BP69 BP70 BP71 * BP73 BP74 BP75 BP76 BP77
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KEYWORD
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nice, precise, unstable, ignoreimperfections, finished, traditional, bongard
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CONCEPT
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slope_at_endpoint (info | search),
tracing_line_or_curve (info | search),
parallel (info | search),
perpendicular (info | search)
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WORLD
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curve [smaller | same | bigger]
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AUTHOR
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Mikhail M. Bongard
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| BP103 |
| Isosceles triangle vs. scalene triangle. |
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CROSSREFS
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Adjacent-numbered pages:
BP98 BP99 BP100 BP101 BP102 * BP104 BP105 BP106 BP107 BP108
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KEYWORD
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precise, allsorted, stretch, orderedpair, traditional, preciseworld
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CONCEPT
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line_or_curve_endpoint (info | search),
length_line_or_curve (info | search),
imagined_line_or_curve (info | search),
imagined_entity (info | search),
same_feature (info | search),
same (info | search),
isosceles_triangle (info | search),
triangle (info | search)
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AUTHOR
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Douglas R. Hofstadter
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