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MathGroup Archive 2006

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RE: Graphics3D axes

  • To: mathgroup at smc.vnet.net
  • Subject: [mg66696] RE: Graphics3D axes
  • From: Laura <grzz_76 at hotmail.com>
  • Date: Sat, 27 May 2006 03:52:11 -0400 (EDT)
  • References: <e56et5$2r2$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

"David Park" <djmp at earthlink.net> wrote in
news:e56et5$2r2$1 at smc.vnet.net: 

> Laura,
> 
> The DrawGraphics Mathematica package that can be purchased through my
> web site ($50) amoung other things contains a DrawAxes command for
> Graphics3D. The syntax is...
> 
> DrawAxes[{xorg, yorg, zorg}, {min, max}, styles]
> 
> where {min, max} are the displacements from the axes origin in plot
> coordinates. styles gives a list of line styles for the 3 axis. The
> axes could be labeled by adding separate Text statements. With
> DrawGraphics it is easy to add all these things into a plot because
> all elements are treated as graphics primitives. Thus multiple
> surfaces, axes and Text statements can all be easily combined in one
> plot statement. 
> 
> Here is an example of its use that combines a plot of four spheres
> with a labeled axes.
> 
> Needs["DrawGraphics`DrawingMaster`"]
> 
> sphere[center_, radius_][p_, t_] :=
>   center + radius{Cos[t]Cos[p], Sin[t]Cos[p], Sin[p]}
> style = {IndianRed, AbsoluteThickness[2]};
> 
> Draw3DItems[
>     {ParametricDraw3D[
>             Evaluate[sphere[#, 1][p, t]], {p, -Pi/2, Pi/2}, {t, 0,
>               2Pi}] & /@ ({{-2, -2, -2}, {2, 2, 2}, {-2, -2, 2}, {2,
>                 2, -2}}0.7),
>       DrawAxes[{0, 0, 0}, {-3, 3}, {style, style, style}],
>       MapThread[
>         Text[#1, #2, #3] &, {{x, y, z},
>       {{3.3, 0, 0}, {0, 1, 0}, {0, 0, 3.3}}, {{0, 0}, {-2, 0}, {0,
>       0}}}] 
>     },
>     ImageSize -> 300,
>     Boxed -> False,
>     NeutralLighting[0.8, 0.8, 0.2],
>     Background -> AliceBlue];
> 
> I used special positioning for the labels of the axes so the y axes
> label would not be written over one of the spheres.
> 
> David Park
> djmp at earthlink.net
> http://home.earthlink.net/~djmp/
> 
> 
> From: Laura [mailto:grzz_76 at hotmail.com]
To: mathgroup at smc.vnet.net
> 
> This must be a common query but I haven't been able to find the
> answer: 
> 
Thank you for the suggestions. Why is this not better documented, or not 
an easy option? I think wanting a standard axes must be, well, standard!


> For plotting 3D graphics (plot3D or Graphics3D), how do you get the
> standard axes: (1,0,0), (0,1,0), (0,0,1)? I've tried all sorts of
> options from AxesEdges to changing Views. Basically, I'd like my 3D
> plots to appear with the axes set at the origin.
> 
>               z
>                |
>        (0,0,0) |______ y
>               /
>             /
>            x
> 
> Thank you for any pointers.
> 
> 
> 


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