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Axes in Plot3D and ListPlot3D
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Ray Koopman
Jun 17, 2013, 6:13:26 AM6/17/13
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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?
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?
Bob Hanlon
Jun 19, 2013, 1:22:54 AM6/19/13
to
Just include the coordinates in the Table
data = Flatten[
Table[{x, y, Sin[x + y^2]}, {x, -3, 3, 1/16}, {y, -3, 3, 1/16}], 1];
ListPlot3D[data, AxesLabel -> {"x", "y", "z"}]
Bob Hanlon
Tomas Garza
Jun 19, 2013, 1:23:34 AM6/19/13
to
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]},=85] 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: koo...@sfu.ca
> Subject: Axes in Plot3D and ListPlot3D
> To: math...@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:
>
Ray Koopman
Jun 20, 2013, 4:00:53 AM6/20/13
to
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 <tgar...@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.
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 <tgar...@msn.com> wrote:
> The explanation lies in how Table constructs the array.
> The definition in the Help browser says
>
> {j,Subscript[j, min], Subscript[j, max]}, ] gives a nested list.
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