Pi = 4?

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发表于 2016-6-7 09:23 |只看该作者 |倒序浏览

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本帖最后由宏心于 2016-6-8 04:41 编辑

Manipulate[
Graphics[{Table[
Rotate[{Thin, Circle[],
   Line[{{-1, -1}, {-1, 1}, {1, 1}, {1, -1}, {-1, -1}}], Gray,
   Table[Rectangle[{Cos[ (k \[Pi])/2^(n + 1)],
      Sin[  (k \[Pi])/2^(n + 1)]}, {1, 1}], {k, 1, 2^n - 1}]},
   r \[Pi]/2], {r, 0, 3}]
}, PlotRange -> 1.1 {{x0[m], x1[m]}, {x0[m], x1[m]}},
  ImageSize -> {550, 450}],
Row[{Control[{{n, 3, "steps"}, Range[0, 10], Setter}], Spacer[50],
Control[{{m, 1, "magnification"}, {1, 2, 4, 8}, Setter}]}],
TrackedSymbols :> {n, m}, ControlPlacement -> Top,
Initialization :> (x0[1] = -1.1; x0[2] = 0;
x0[m_] := 1/Sqrt[2] - 1/m; x1[1] = x1[2] = 1.1;
x1[m_] := 1/Sqrt[2] + 1/(4 m);)]

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