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 section Using Mathematica to generate OOGL files.
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.
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