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Topic: ListPlot3D
Replies: 2   Last Post: Jun 17, 2013 6:15 AM

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 amannuc1 Posts: 29 Registered: 9/18/08
ListPlot3D
Posted: Jun 16, 2013 5:08 AM

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,
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:

{{0., 0., 0.}, {0.1, 0.1, 0.248514}, {0.2, 0.2, 0.329812}, {0.3, 0.3,
0.324989}, {0.4, 0.4, 0.275382}, {0.5, 0.5, 0.207606}, {0.6, 0.6,
0.138975}, {0.7, 0.7, 0.0799098}, {0.8, 0.8, 0.0358315}, {0.9, 0.9,
0.008981}, {1., 1., 0.}}

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):
{0., 0., 0.}, {1.0, 0.0, 0.248514}, {0., 1., 0.329812}

I then see a surface. I cannot figure this out.