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MathGroup Archive 2013

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Re: ListPlot3D

  • To: mathgroup at smc.vnet.net
  • Subject: [mg131198] Re: ListPlot3D
  • From: amannucci <Anthony.J.Mannucci at jpl.nasa.gov>
  • Date: Mon, 17 Jun 2013 06:25:31 -0400 (EDT)
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On Sunday, June 16, 2013 2:08:39 AM UTC-7, amannucci wrote:
> I could use some help with ListPlot3D. These are examples from the documentation. My preconceived notion of what this should do is place a data point at coordinates {x,y,z} and connect a surface along the z_i. Here is an example from the Mathematica documentation:
>
>
>
> ListPlot3D[{{1, 1, 1, 1}, {1, 2, 1, 2}, {1, 1, 3, 1}, {1, 2, 1, 4}},
>
>  Mesh -> All]
>
> I cannot figure out how to read these data. What are the x,y values? They are apparently "the x and y coordinate values for each data point to be successive integers starting at 1." How does this thread through the data? For the first point, x=1, y=1, z=1. For the last point, x=4,y=4, z= 4. What about intermediate points? I can't figure it out. Is it x=1, y= 1..4, x=2,y=1..4,x=3,y=1..4,x=4,y=1..4? The documentation does not say.
>
>
>
> There is also the data triplets. E.g. from the documentation,
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> ListPlot3D[{{0, 0, 1}, {1, 0, 0}, {0, 1, 0}}, Mesh -> All]
>
>
>
> This I understand. It is a triplet of {x,y,z}. However, when I feed in the following data set, the graph is completely blank:
>
>
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> {{0., 0., 0.}, {0.1, 0.1, 0.248514}, {0.2, 0.2, 0.329812}, {0.3, 0.3,
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>   0.324989}, {0.4, 0.4, 0.275382}, {0.5, 0.5, 0.207606}, {0.6, 0.6,
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>   0.138975}, {0.7, 0.7, 0.0799098}, {0.8, 0.8, 0.0358315}, {0.9, 0.9,
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>   0.008981}, {1., 1., 0.}}
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>
>
> x and y span 0->1. There are z-values, but nothing is plotted. If I manually change the first three data points to be (mimicing the docs):
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> {0., 0., 0.}, {1.0, 0.0, 0.248514}, {0., 1., 0.329812}
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>
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> I then see a surface. I cannot figure this out.
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>
>
> Thanks for any help you can provide.

Thanks for the helpful comments I received. Yes, I later realized that the use of Table meant I was creating a line, therefore no surface. I used a Do[] to create the data structure I needed. There must be a more procedural way, but I don't know it...



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