Search: concept:self-reference
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Displaying 51-60 of 60 results found.
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BP1119 |
| Tiled by finitely many smaller copies of itself (different sizes allowed) vs. not so. |
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BP1120 |
| No same-sized copies of self overlap vs. distinct same-sized copies overlap. |
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BP1122 |
| Content of any square is an image of the whole panel vs. not so. |
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BP1147 |
| Columns of the table could be respectively labeled "Number" and "Number of times number appears in this table" vs. not so. |
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BP1148 |
| Number of dots in the Nth box (from the left) is how many times the number (N - 1) appears in the whole diagram vs. not so. |
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COMMENTS
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Left-sorted examples are sometimes called self-descriptive sequences. |
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CROSSREFS
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See BP1147 for a similar idea.
BP1149 was inspired by this.
Adjacent-numbered pages:
BP1143 BP1144 BP1145 BP1146 BP1147  *  BP1149 BP1150 BP1151 BP1152 BP1153
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KEYWORD
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nice, precise, unwordable, notso, handed, leftright, left-narrow, sequence, preciseworld, left-listable, right-listable
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CONCEPT
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self-reference (info | search)
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AUTHOR
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Leo Crabbe
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BP1149 |
| Number in the Nth box (from the left) is how many numbers appear N times vs. not so. |
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CROSSREFS
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Inspired by BP1148.
Adjacent-numbered pages:
BP1144 BP1145 BP1146 BP1147 BP1148  *  BP1150 BP1151 BP1152 BP1153 BP1154
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KEYWORD
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nice, precise, unwordable, notso, handed, leftright, left-narrow, sequence, preciseworld, left-listable, right-listable
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CONCEPT
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self-reference (info | search)
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AUTHOR
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Aaron David Fairbanks
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BP1241 |
| Any point contained in (arbitrarily) smaller version of self vs. not so. |
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COMMENTS
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Note if any point is contained in some smaller version of the whole, then any point is contained in arbitrarily smaller versions of the whole.
It isn't possible to unambiguously communicate in a picture whether or not a few specific points are included in the fractal. The pictures are interpreted as what is intuitively simplest. To make matters less ambiguous, all the fractals here contain all points arbitrarily close to points in them. (They are topologically closed. See also BP1239.)
The left hand side of this is a stronger condition than the left hand side of BP1116. |
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CROSSREFS
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Adjacent-numbered pages:
BP1236 BP1237 BP1238 BP1239 BP1240  *  BP1242 BP1243 BP1244 BP1245 BP1246
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KEYWORD
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notso, perfect, infinitedetail
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CONCEPT
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fractal (info | search), recursion (info | search), self-reference (info | search)
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WORLD
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connected_fractal [smaller | same | bigger]
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AUTHOR
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Aaron David Fairbanks
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BP1242 |
| Tiled by pair of fractals including itself such that both tile the other vs. tiled by pair of fractals including itself such that the other tiles itself. |
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