Search: keyword:preciseworld
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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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| 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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| 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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| BP292 |
| Angle made by shapes with vertex at square is not acute vs. angle made by shapes with vertex at square is acute. |
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| BP312 |
| Lines intersect within the box vs. lines intersect out of the box. |
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CROSSREFS
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Adjacent-numbered pages:
BP307 BP308 BP309 BP310 BP311 * BP313 BP314 BP315 BP316 BP317
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KEYWORD
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precise, allsorted, boundingbox, perfect, unorderedpair, traditional, preciseworld, absoluteposition
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CONCEPT
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completed_out_of_box (info | search),
vertex_of_meeting_lines (info | search),
imagined_point (info | search),
imagined_line_or_curve (info | search),
imagined_entity (info | search)
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AUTHOR
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Jakub Štepo
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| BP329 |
| Regular polygon vs. not regular polygon. |
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| BP334 |
| Odd number of dots vs. even number of dots. |
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CROSSREFS
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See BP334 for a version of the same idea, but using arbitrary shapes instead of dots.
Adjacent-numbered pages:
BP329 BP330 BP331 BP332 BP333 * BP335 BP336 BP337 BP338 BP339
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KEYWORD
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precise, allsorted, number, math, left-narrow, right-narrow, right-null, help, traditional, preciseworld
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CONCEPT
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even_odd (info | search)
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WORLD
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dots [smaller | same | bigger]
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AUTHOR
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Aaron David Fairbanks
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| BP376 |
| A "chess piece" that moves as shown may reach every square vs. not so. |
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CROSSREFS
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Adjacent-numbered pages:
BP371 BP372 BP373 BP374 BP375 * BP377 BP378 BP379 BP380 BP381
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KEYWORD
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precise, allsorted, notso, left-finite, right-finite, traditional, fixedgrid, preciseworld
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CONCEPT
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all (info | search),
chess-like (info | search),
imagined_motion (info | search),
motion (info | search)
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AUTHOR
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Aaron David Fairbanks
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| BP384 |
| Square number of dots vs. non-square number of dots. |
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COMMENTS
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All examples in this Problem are a collection of dots.
An equivalent solution is "Dots can be arranged into a square lattice whose convex hull is a square vs. not so". - Leo Crabbe, Aug 01 2020 |
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CROSSREFS
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Adjacent-numbered pages:
BP379 BP380 BP381 BP382 BP383 * BP385 BP386 BP387 BP388 BP389
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EXAMPLE
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A single dot fits because 1 = 1*1.
A pair of dots does not fit because there is no integer x such that 2 = x*x. |
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KEYWORD
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nice, precise, allsorted, number, math, left-narrow, left-null, help, traditional, preciseworld
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CONCEPT
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square_number (info | search)
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WORLD
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dots [smaller | same | bigger]
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AUTHOR
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Jago Collins
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