1
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There is a simple code but it doesn't work

Manipulate[
ListPlot[
{Table[
{Sin[Pi/4 Cos[t]], -Cos[Pi/4  Cos[t]]}, {t, 1, n, 0.1}]}], {n, 1, 20}]

enter image description here

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    $\begingroup$ no problem with V 10.3 $\endgroup$ – garej Apr 1 '16 at 20:34
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    $\begingroup$ works just fine on my Mac, MMA 10.0 $\endgroup$ – BlacKow Apr 1 '16 at 20:34
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    $\begingroup$ And I have the same problem as you, vito; Mathematica 10.4 on Windows 10 $\endgroup$ – user36273 Apr 1 '16 at 20:55
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    $\begingroup$ it works fine on Wolfram Development Platform (10.4.0 for Linux x86 (64-bit) (February 26, 2016) ). If you want you can try yourself, it's free. $\endgroup$ – andre314 Apr 1 '16 at 21:04
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    $\begingroup$ MMA 10.2, Windows 7. Same thing. Eventually with enough tries (with resetting the "Dynamic Updating Enabled") it eventually works. $\endgroup$ – JimB Apr 1 '16 at 21:12