Re: Archimedes' Spiral

• To: mathgroup at smc.vnet.net
• Subject: [mg85624] Re: Archimedes' Spiral
• From: Szabolcs <szhorvat at gmail.com>
• Date: Sat, 16 Feb 2008 03:25:54 -0500 (EST)

```On Feb 15, 12:50 pm, "Lea Rebanks" <lreba... at netvigator.com> wrote:
> Hi All,
>
> I am trying to plot the  Archimedes' Spiral.
>
> I copied this code from a web site. But it didn't work. Any ideas.
>
> ParaPlot[ArchimedeanSpiral[1][t],
>      {t, 0, 10*2*Pi}, PlotDot ->
>        False, AspectRatio -> Automatic,
>      PlotLabel ->
>        "Archimedes' spiral, r == theta"\
>     , Ticks -> {Range[0, 60, 20],
>          Range[0, 60, 20]},
>      Background -> GrayLevel[0]];
> Do[ParaPlot[Evaluate[
>        ArchimedeanSpiral[i][t]],
>      {t, 0.0001, 5*2*Pi},
>      PlotDot -> False, PlotPoints ->
>        30, AspectRatio -> Automatic,
>      PlotRange -> {{-1, 1}, {-1, 1}}*
>          (5*2*Pi)^i*1.1, PlotLabel ->
>        StringForm["r == theta^``",
>      Ticks -> {{N[Floor[(4*2*Pi)^i]]},
>          {N[Floor[(4*2*Pi)^i]]}},
>      Background -> GrayLevel[0]],
>    {i, 0, 2, 2/20}]
>
> Many thanks for your help & attention.
> Best Regards - Lea Rebanks...

You didn't post the full code ... what are ArchimedeanSpiral[] and
ParaPlot[]?

But why not simply use PolarPlot[r, {r, 0, 6Pi}]?

```

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