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![[parent]](http://images.planetmath.org:8080/images/uparrow.png) Viewing Message
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| ``Re: the Nielsen's spiral plot''
by stevecheng on 2007-07-08 10:04:52 |
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| I think you will find it easier to plot analytically complicated curves like Nielsen's spiral with numerical software rather than with Postscript directly. (This is what I have done in the entry.)
In particular, I'm not sure those approximating equations that you have work for "large" $t$, say $0< t < 1/2$, as they are based on Taylor series expansions of $sin$ and $cos$ about $0$. The interesting part, of course, is for large $t$, say $t > 6.0$. For this part, I evaluate the functions with their asymptotic series as displayed on their Wikipedia entry (without proof :). For $t < 6.0$, I use direct numerical integration to compute the function values.
I can post the Octave code (should also run in MatLab) once I clean it up a bit.
// Steve
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