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Re: Oblique coordinates from cartesian coordinates

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  Re: Oblique coordinates from cartesian coordinates Scott Centoni <scentoni@hotmail.com> - 2011-06-30 20:58 +0000

#3412 — Re: Oblique coordinates from cartesian coordinates

Hi Paco,

The Graphics or Graphics3D primitives are generally located in the first element of the result from Plot or Plot3D. Try this:

Graphics3D[{GeometricTransformation[
   A[[1]], {{{.8, .5, .5}, {0, .8, .5}, {0, 0, .8}}, {.5, .5, 0}}]}]

If you want to see the contents of A rather than plotting it, look at List@@A.

Scott Centoni


> Oblique coordinates from cartesian coordinates
>
> 	 To: mathgroup at smc.vnet.net
> 	 Subject: Oblique coordinates from cartesian coordinates
> 	 From: Francisco Miguel Morales Sanchez <fmiguel.morales at gm.uca.es>
> 	 Date: Thu, 2 Jun 2011 07:15:34 -0400 (EDT)
> Hello:
> 3D plots and contourplots are generated authomatically in a cartesian
> base with x
> and y axes having 90 degrees between them but I would like this axis
> to appear as if it was 60=BA.
>
> I found that a 3D object can be presented with a
> different "aparent angle" by using oblique coordinates with "Affine"
> or "Geometric Transformation", for example:
>
> gr = {Cuboid[], AbsolutePointSize[10], Opacity[1], {Magenta, Point[{0,
> 0, 0}]}, {Green,     Point[{1, 1, 1}]}};
>
> Graphics3D[{{Opacity[.35], Blue, gr},
> GeometricTransformation[{Opacity[.85], Red,
>     gr}, {{{.8, .5, .5}, {0, .8, .5}, {0, 0, .8}}, {.5, .5, 0}}]},
> Boxed -> False]
>
>
> MY QUESTION IS: Why can I not make the same procedure for a Plot3D or
> a ContourPlot? Following the same way I get not output. This is an
> example of waht I say:
>
> A=Plot3D[Sin[x + y^2], {x, 0, 1}, {y, 0, 1}];
> Graphics3D[{GeometricTransformation[A, {{{.8, .5, .5}, {0, .8, .5},
> {0, 0, .8}}, {.5, .5, 0}}]}]
>
> I WOULD BE VERY GRATEFUL IF YOU COULD HELP ME!, THANKS IN ADVANCE.
> Paco
>

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