First of all, thank you David.
Substantially, I've solved the problem.
But now I've still a perplexity: please, look at the algorithm in this
link: is that the shorter way to obtain the grid that I want?
Here I've done a cross reference on the F(X) component and then I've
managed the result with a Z vector to translate the grid of X Y planar
points and create my grid.

On 24 Ott, 12:29, David Rutten <[EMAIL PROTECTED]> wrote:
> Hi Carlo,
>
> the Cross reference is supposed to be in the F(x) component.
> See:http://grasshopper3d.googlegroups.com/web/CrossReferencePointFunction...
>
> --
> David Rutten
> Robert McNeel & Associates
>
> On Oct 24, 12:47 pm, K4rl33 <[EMAIL PROTECTED]> wrote:
>
> > Hi guys,
>
> > I'm playing in grasshopper with the Expressions component.
> > I have already managed F1(x) functions, and with my alghorithm I can
> > see the flow of the function in a collection of points that generates
> > the flow of a curve in a bidimensional space; here there's a diagram
> > of the logic structure.
>
> > RANGE------------------------------->  X
> >                     |                              POINT
> >                     |---->    F(X)    ---> Y
>
> > All right at the moment.
>
> > But now I want to improve from F1(x) functions to F2(x) functions to
> > study by points the flow in the 3dimensional space.
> > I take two range components and I join them to the F2(X) component (x
> > and y with a defined R2 --> R function, for example sin(x+y)), then to
> > the X and Y of the POINT component, and the F2(X) output to the Z of
> > the POINT.
> > What I obtain is not a plane - so a grid - as I want,but a curve
> > defined by points in the space, on the diagonal of the matrix of
> > values of the ranges (domains) that I've choosed. If I put "cross
> > reference" to the POINT component, the diagonal shift to a grid of
> > points, but in each (X;Y)  value I doesn't have a unique Z = F(X;Y)
> > result as I want , but multiple results, and it is not good because
> > the function must associate a unique value to each couple of points.
>
> > Sorry for my poor english, I hope you guys have understood the problem
> > and would give me an answer to solve it!
>
> > K4rl33

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