[R] how to plot implicit functions

[Fabrizio Berloco]

If you are lucky, try draw3d function of maxima:

(http://www.telefonica.net/web2/biomates/maxima/gpdraw/)


load(draw);
draw3d(implicit(2=(cos(x+%phi*y)+cos(x-%phi*y)+cos(y+%phi*z)+cos(y-%phi*z)+cos(z-%phi*x)+cos(z+%phi*x)),x,-4,4,y,-4,4,z,-4,4),
       enhanced3d   = true,
       palette      = gray,
       surface_hide = true)$

Many times this function fails; this is due to the fact that resolving
non-linear polynomial equations is required in order to plot 3d-graph, and
sometimes machines, with their finite-number idea, are not able to do it.
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