Sierpinski triangle/Graphical: Difference between revisions
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Show[Graphics[{Opacity[1], Black, Map[Polygon, Sierpinski[8], 1]}, AspectRatio -> 1]]</lang> |
Show[Graphics[{Opacity[1], Black, Map[Polygon, Sierpinski[8], 1]}, AspectRatio -> 1]]</lang> |
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<lang Mathematica> |
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sierpinski[v_, 0] := Graphics@Polygon@v; |
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sierpinski[v_, n_] :=Show[sierpinski[#, n - 1] & /@ (Mean /@ # & /@ v~Tuples~2~Partition~3)]; |
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sierpinski[{{0, 0}, {1, 0}, {.5, .8}}, 3] |
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</lang> |
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<lang Mathematica> |
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sierpinski = Map[Mean, Partition[Tuples[#, 2], 3], {2}] &; |
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p = Nest[Join @@ sierpinski /@ # &, {{{0, 0}, {1, 0}, {.5, .8}}}, 3]; |
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Graphics[Polygon@p] |
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</lang> |
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[[File:MmaSierpinski.png]] |
[[File:MmaSierpinski.png]] |
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