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Re: Axes in Plot3D and ListPlot3D

  • To: mathgroup at smc.vnet.net
  • Subject: [mg131234] Re: Axes in Plot3D and ListPlot3D
  • From: Ray Koopman <koopman at sfu.ca>
  • Date: Thu, 20 Jun 2013 04:44:12 -0400 (EDT)
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Thanks. I was basically looking for confirmation that I hadn't
overlooked something in the documentation. The transposition of the
first two dimensions, compared to their interpretation in Plot3D, is
something that I think ought to be mentioned explicitly as the second
item in the Details section of the documentation, imediately after

In ListPlot3D[array], array must be a rectangular array. Each element
can be either a single real number representing a z value, or an {x,y,z}
triple.

----- Tomas Garza <tgarza10 at msn.com> wrote:
> The explanation lies in how Table constructs the array.
> The definition in the Help browser says
>
> Table[expr,{i,Subscript[i, min], Subscript[i, max]},
>            {j,Subscript[j, min], Subscript[j, max]}, ] gives a nested list.
> The list associated with i is outermost.
>
> This is, I agree, contrary to what happens with a double integral,
> where the inner integral goes first. And, of course,
> it is not consistent with the way Plot3D works.
>
> -Tomas
>
>> From: koopman at sfu.ca
>> Subject: Axes in Plot3D and ListPlot3D
>> To: mathgroup at smc.vnet.net
>> Date: Mon, 17 Jun 2013 06:25:11 -0400
>>
>> Plot3D[Sin[x + y^2],{x,-3,3},{y,-3,3},AxesLabel->{"x","y","z"}]
>>
>> gives a plot that I thought I could duplicate by creating a table
>>
>> z = Table[Sin[x + y^2],{x,-3,3,1/4},{y,-3,3,1/4}];
>>
>> and then using ListPlot3D:
>>
>> ListPlot3D[z,AxesLabel->{"x","y","z"},MeshRange->{{-3,3},{-3,3}}] .
>>
>> That gives a different view of the same surface, with the wrong labels
>> on the axes. To duplicate the Plot3D result I must transpose the array:
>>
>> ListPlot3D[Transpose@z,AxesLabel->{"x","y","z"},MeshRange->{{-3,3},{-3,3}}]
>>
>> That seems unreasonable. What have I missed?
>> Is it mentioned somewhere in the documentation?



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