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              dm1 := Vector(4, {(1) = ` 36 x 2 `*Matrix,

                        (2) = `Data Type: `*float[8], (3) = `Storage: `*rectangular, (4) = `Order: `*Fortran_order})


           dm2 := Vector(4, {(1) = ` 32 x 2 `*Matrix,

                    (2) = `Data Type: `*float[8], (3) = `Storage: `*rectangular, (4) = `Order: `*Fortran_order})


                       dm3 := Vector(4, {(1) = ` 28 x 2 `*Matrix, (2) = `Data Type: `*float[8], (3) = `Storage:                                         `*rectangular, (4) = `Order: `*Fortran_order})

How to combine these three matrices into a single one with four columns (y, F(0,0.8)(y), F(0.1,0.8)(y), F(0.2,0.8)(y) )?




Is it possible to change the order of which polygons are plot? I searched a lot on the internet but I don't find a useful answer. It seems to be logical that they are plot in the order they are given to the command "display", but it don't seem to work.

I try to plot different polygons, like you can see in the images below:

The red planes should form a pyramid but the black ground plane is front of it, so it should be plotted before the four red planed (polygons) are plotted.

In the code, the black plane (pp6) comes before the red planes (pp7->pp10) as input of the display command. If I change the order, nothing changes in the plot.

Is it possible to tell Maple that some polygons should be on the foreground and some on the background?

 Here is a link to the file if necessary:

Thanks in advance!

hello. how can I translate a graph in the x axis 3 times and then again in the y axis 2 times?

On Maple 16.02, plattools[transform] only works for very simple procedures. It does not work for procedures with the `if` function even with the simple arrow definition. or with any if-block in a more general proc definition.

With the sequence of commands:

simp:=plot(sin(x), x=0..Pi);
f:=(xx,yy)->`if`(yy > 0, [xx,4*yy], [xx,yy]);

The first three statements run without error messages. At the last...

Dear Maple users

I have had Maple creating graphics for me that I cannot do in other programs I have access to: 3D pictures of circle waves interferring or even the result of an interference pattern from a diffraction grating in Physics. But when it comes to simple animations, I am not all that impressed.

Basicly I have three complaints: 

a)  Maple seems to use a lot of space to save frame information, resulting in large filesizes.

There is a flaw (bug) in the DEplot routine.  If you load the plottools package before using DEplot with the arrows=line option, the DEplot routine tries to use the line definition from the plottools package.  A worksheet illustrating this problem is below.

I would like to draw some areas between curves. I tried to use ?plots/implicitplot but I often need to use gridrefine option which consumes so much memory. When I want to draw e.g. the area between f and g:

f := x-> piecewise(x < 5, 2, x-3):
g := x-> piecewise(x < 4, x, 4):

I can do:

p:=plot({f, g}, color...

How can leave a trail/trace of black point in the yellow and purple screens? Something very similar to the option "animate / trace."

Make it possible to take the numerical data of each screen from the "plottools [getdata]"



When exporting plots some labels are occasionally cropped. This is true when exporting via the context menu or with plotsetup('gif', etc.) for instance (plotsetup also drops the third label in 3D plots, the context menu keeps it).

I discovered that scaling the plot from the context menu can help: is there a programmatic way to control the plot scale?

From the context menu: Manipulator -> Scale, the plot can be rescaled to ensure that all...

i am successfully transforming a 2D plot, when doing the exact analog thing to a 3D plot i get the error message 

Error, (in t) invalid input: unknown uses a 3rd argument, z, which is missing


i have no idea what's going on, please advise.


i made a minimum example:

this works:

> restart:with(plots):with(plottools):
> norm2:=x->x[1]^2+x[2]^2:
> N:=[0,1]:
> phi:=(x,y)->N+2*([x,y]-N)/norm2([x,y]-N):

So I have something like this:

> with(student);
> with(plots);
> with(plottools);
> with(DEtools);

I have simulated 50 trajectories of an ODE system, with  a command roughly like this:

myPlot :=
 seq( plots:-odeplot
    ( Sol(i)
    , [ u(t), r(t), q(t) ]
    , t = T .. 0                          ### Time Run Backwards
    , 'numpoints' = 2*abs(T)

How would you transform a 3D plot structure into a 2D plot structure? I have in mind 1) creating a 3D plot with odeplot or with plot3d, 2) selecting (say) 4 orientations, 3) transforming each into a 2D plot, 4) exporting the 2D plots using the Standard GUI.

The reason behind my question is that the best-looking exported plots that I have been able to obtain with Maple are 2D plots exported as postscript with the Standard GUI. 3D plots don't look nearly as good when...

I was recently looking at rotating a 3D plot, using plottools:-rotate, and noticed something inefficient.

In the past few releases of Maple, efficient float[8] datatype rtables (Arrays or hfarrays) can be used inside the plot data structure. This can save time and memory, both in terms of the users' creation and manipulation of them as well as in terms of the GUI's ability to use them for graphic rendering.

What I noticed is that, if one starts with a 3D plot data structure containing a float[8] Array in the MESH portion, then following application of plottools:-rotate a much less efficient list-of-lists is produced in the resulting structure.

Likewise, an effiecient float[8] Array or hfarray in the GRID portion of a 3D plot structure gets transformed by plottools:-rotate into an inefficient list-of-lists object in the MESH portion of the result. For example,



seq(whattype(op(3,zz)), zz in indets(p,specfunc(anything,GRID)));


seq(whattype(op(1,zz)), zz in indets(pnew,specfunc(anything,MESH)));

The efficiency concern is not just a matter of the occupying space in memory. It also relates to the optimal attainable methods for subsequent manipulation of the data.

It may be nice and convenient for plottools to get as much mileage as it can out of plottools:-transform, internally. But it's suboptimal. And plotting is a topic where dedicated, optimized helper routines for some particular data format is justified and of merit. If we want plot manipulation to be fast, then both Library-side as well as GUI-side operations need more case-by-case-optimizated.

Here's an illustrative worksheet, using and comparing memory performance with a (new, alternative) procedure that does inplace rotation of a 3D MESH.

The problem has been discussed in mapleprimes before, but I have not come across a neat solution. Perhaps there is one. What is the state of the art for exporting 3D graphics (plot3d, etc.) with Maple 15?

What I think I know is this: standard GUI has a completely new way of treating 2D graphics but has an outdated way of rendering 3D, while the classic GUI, though no longer developed, for some reason typically renders better 3D graphics.

I used to export graphics...

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