Search: supworld:elongated_shape_one_small_elongated_centered_hole
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Displaying 1-10 of 14 results found.
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BP34 |
| A large hole vs. a small hole. |
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REFERENCE
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M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 225. |
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CROSSREFS
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Adjacent-numbered pages:
BP29 BP30 BP31 BP32 BP33  *  BP35 BP36 BP37 BP38 BP39
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KEYWORD
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spectrum, stable, finished, traditional, bongard
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CONCEPT
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hole (info | search), size (info | search), texture (info | search)
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WORLD
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shape_one_hole [smaller | same | bigger]
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AUTHOR
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Mikhail M. Bongard
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BP35 |
| The axis of the hole is parallel to the figure axis vs. the axis of the hole is perpendicular to the figure axis. |
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REFERENCE
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M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 225. |
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CROSSREFS
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Adjacent-numbered pages:
BP30 BP31 BP32 BP33 BP34  *  BP36 BP37 BP38 BP39 BP40
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KEYWORD
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finished, traditional, bongard
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CONCEPT
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hole (info | search), line_slope (info | search), same (info | search), texture (info | search), parallel (info | search), perpendicular (info | search)
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WORLD
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elongated_shape_one_small_elongated_centered_hole [smaller | same | bigger]
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AUTHOR
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Mikhail M. Bongard
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BP322 |
| One outer outline vs. more than one outer outline. |
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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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BP343 |
| No two shapes are the same vs. at least two shapes are the same. |
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BP344 |
| Shape can tile itself vs. shape cannot tile itself. |
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COMMENTS
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Left examples are sometimes called "rep-tiles."
The tiles all must be the same size. More specifically, all left examples can tile themselves only using scaled down and rotated versions of themselves with all tiles the same size. Right examples cannot tile themselves using scaled down rotated versions of themselves or even reflected versions of themselves with all tiles the same size.
Without the puzzle piece-like shape EX4120 on the right side the current examples also allow the solution "shape can tile with itself so as to create a parallelogram vs. shape cannot tile with itself so as to create a parallelogram." |
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CROSSREFS
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See BP532 for a version with fractals.
Adjacent-numbered pages:
BP339 BP340 BP341 BP342 BP343  *  BP345 BP346 BP347 BP348 BP349
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EXAMPLE
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Go to https://oebp.org/files/yet.png for an illustration of how some left-sorted shapes tile themselves. |
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KEYWORD
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hard, precise, notso, unstable, math, hardsort, creativeexamples, proofsrequired, perfect, traditional
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CONCEPT
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recursion (info | search), self-reference (info | search), tiling (info | search), imagined_shape (info | search), imagined_entity (info | search)
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WORLD
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shape [smaller | same | bigger]
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AUTHOR
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Aaron David Fairbanks
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BP367 |
| Center of mass within the black area of the shape vs. center of mass out of the black area of the shape. |
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BP368 |
| There is a point that can see (in straight lines) all points vs. there is no point that can see (in straight lines) all points. |
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