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The package `Geomview.m` arranges for Geomview to be the
default display program for 3D graphics in Mathematica. To
load it, give the command `<< Geomview.m`

to Mathematica.
Thereafter, whenever you display 3D graphics with `Plot3D`

or `Show`

, Mathematica will send the graphics to Geomview.

Loading `Geomview.m` implicitly loads `OOGL.m` as well, so you
can use the `Geomview`

and `WriteOOGL`

as described above
after loading `Geomview.m`. You do not have to separately load
`OOGL.m`.

% math Mathematica 2.0 for SGI Iris Copyright 1988-91 Wolfram Research, Inc. -- GL graphics initialized -- In[1] := <<Geomview.m In[2] := Plot3D[x^2 + y^2, {x, -2, 2}, {y, -2, 2}] Out[2] := -SurfaceGraphics-

This invokes geomivew and loads the graphics object into it.

In[3] := Plot3D[{x*y + 6, RGBColor[0,x,y]}, {x,0,1}, {y,0,1}] Out[3] := -SurfaceGraphics-

This replaces the previous Geomview object by the new object.

In[4] := Geomview[{%2,%3}] Out[4] := {-SurfaceGraphics-, -SurfaceGraphics-}

This displays both objects at once. You also can have more than one
Mathematica object at a time on display in Geomview, and have separate
control over them, by using the `Geomview`

command with a name,
See OOGL.m.

In[5] := Graphics3D[ {RGBColor[1,0,0], Line[{ {2,2,2},{1,1,1} }] }] Out[5] := -Graphics3D- In[6] := Geomview["myline", %5]

This addes the `Line`

specified in `In[5]`

to the existing
Geomview display. It can be controlled independently of the
"Mathematica" object, which is currently the list of two plots.

In[7] := <<GL.m

If you're on an SGI, loading `GL.m`

returns Mathematica to its
usual 3D graphics display. The following
plot will appear in a normal static Mathematica window.

In[8] := ParametricPlot3D[{Sin[x],Sin[y],Sin[x]*Cos[y]}, {x,0,Pi},{y,0,Pi}] Out[8] := -Graphics3D-

We can return to Geomview graphics at any time by reloading `Geomview.m`.

In[9] := <<Geomview.m In[10] := Show[%8] Out[10] := -Graphics3D- In[11] := ParametricPlot3D[ {(2*(Cos[u] + u*Sin[u])*Sin[v])/(1 + u^2*Sin[v]^2), (2*(Sin[u] - u*Cos[u])*Sin[v])/(1 + u^2*Sin[v]^2), Log[Tan[v/2]] + (2*Cos[v])/(1 + u^2*Sin[v]^2)}, {u,-4,4},{v,.01,Pi-.01}] Out[11] := -Graphics3D-

This last plot is Kuen's surface, a surface of constant negative
curvature. Parametrization from Alfred Gray's *Modern Differential
Geometry of Curves and Surfaces* textbook.