Re: Parametric Function with Lines Instead of Points

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<small><font face="Helvetica, Arial, sans-serif">Bill,<br>
&nbsp;&nbsp;&nbsp;&nbsp; It is more that it is counterintuitive to me to be 
using ((x,y,z)
-&gt; t) rather than (t -&gt; (x,y,z)).&nbsp; However, I guess the same
thing appears on the plot.&nbsp; The reason for reversing the order seems to
be to get the correct topology.&nbsp; So I now have a recipe, but I am not
sure I understand what is happening.&nbsp; Is it written up somewhere what
has and doesn't have a topology and what that topology is.&nbsp; I haven't
come across it.<br>
&nbsp;&nbsp;&nbsp; It is also interesting about the manifold dimension = 
1.&nbsp; It seems
to me that the domain, which is the part that goes with the 
 face="Helvetica, Arial, sans-serif">Gridded3DSet, has manifold
dimension = 3, and that it is the range that has manifold dimension
1.&nbsp; (When using your order.)&nbsp; Or am I just 
<small><font face="Helvetica, Arial, sans-serif"><br>
&nbsp;&nbsp;&nbsp; I did try to make a cursor consisting of two crossed lines
recently.&nbsp; I noticed that I needed to use a Gridded2DSet, whereas a
Linear2D set should have served.&nbsp; I believe the later gave points, not
lines.&nbsp; I assume this is the same problem.&nbsp; (I ended up using a 
&nbsp;&nbsp;&nbsp;&nbsp; Thanks for the information,<br>
&nbsp;&nbsp;&nbsp; -Ken<br>
Bill Hibbard wrote:
<blockquote cite="mid20070327195212.528DC1BF900@xxxxxxxxxxxxxxxxxxxxxx"
This works because the lines between points must come from<br>
a topology, and the Gridded3DSet defines a topology (a sequence<br>
of lines in the case of manifold dimension = 1). Given a FlatField<br>
with MathType (t -&gt; (x, y, z)), the display logic should not assume<br>
a topology among the (x, y, z) range points since there are plenty<br>
of examples where there would not be any.<br>
By the way, it looks like your messages are making it to the list<br>
now so no more need to CC Tom and me. I should have told<br>
you that I use <a class="moz-txt-link-abbreviated" 
href="mailto:hiding@xxxxxxxxx";>hiding@xxxxxxxxx</a> for all mailing list 
traffic (I'm<br>
hiding from spammers harvesting addresses). I suspect the list<br>
server rejected your first message because the embedded image<br>
exceeded the message length limit.<br>
 style="border-left: 2px solid rgb(16, 16, 255); margin-left: 5px; 
padding-left: 5px;">-----
Original Message -----<br>
From: "Kenneth Evans" <evans@xxxxxxxxxxx><br>
To: Visad <visad@xxxxxxxxxxxxxxxx><br>
Subject: Re: Parametric Function with Lines Instead of Points<br>
Date: Tue, 27 Mar 2007 14:27:04 -0500<br>
    <font size="-1"><font face="Helvetica, Arial, sans-serif">Bill,<br>
&nbsp;&nbsp;&nbsp;&nbsp; Thanks.&nbsp; That was easy and worked.&nbsp; I need 
to think about why,
&nbsp;&nbsp;&nbsp;&nbsp; In regard to the email's not getting through:&nbsp; Is 
it possibly
because I had a screen dump in the body, rather than as an attachment.&nbsp;
(I do that all the time and didn't think.)<br>
&nbsp;&nbsp;&nbsp;&nbsp; Thanks again,<br>
&nbsp;&nbsp;&nbsp; -Ken<br>
Bill Hibbard wrote:
 type="cite">Hi Ken, <br>
      <blockquote type="cite">I want to plot a function (t -&gt; (x, y,
z)), for example, an orbit.&nbsp; I can do <br>
this OK, but I get points on the plot and I would like lines.&nbsp; Can I do
this <br>
and if so, how?&nbsp; It doesn't seem like it should be hard, but I haven't <br>
figured it out. <br>
You can do this by using your data to construct a <br>
FlatField with MathType (((x, y, z) -&gt; t) and whose <br>
domain Set is a Gridded3DSet with manifold dimension <br>
&nbsp;= 1. You should be able to find the Gridded3DSet <br>
constructor for manifold dimension = 1. <br>
If you have any follow up questions please send them <br>
to the VisAD mailing list, as you tried to do before, <br>
and hopefully they'll get through. You can CC Tom and <br>
me just to make sure. <br>
Good luck, <br>
Bill <br>
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