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Re: implicit surfaces from older version of Mathematica

  • To: mathgroup at smc.vnet.net
  • Subject: [mg119784] Re: implicit surfaces from older version of Mathematica
  • From: Roger Bagula <roger.bagula at gmail.com>
  • Date: Wed, 22 Jun 2011 03:44:36 -0400 (EDT)
  • References: <201106071047.GAA05975@smc.vnet.net> <isnllv$n7h$1@smc.vnet.net> <itejvd$s3f$1@smc.vnet.net>

Folium substitution: the x and y are used as
folium variables.
x = 3*t/(1 + t^3); y = 3*t^2/(1 + t^3);
d = (1 + t^3)*{{z, -x, 0, 0},
    {x, 0, -y, 0},
    {0, -y, 0, z},
    {0, 0, -z, t1}};
m2 = d.Transpose[d]

f[t_, t1_, z_] = ExpandAll[Det[m2]*Tr[m2] - 1]
ContourPlot3D[
 f[kx, ky, -kz], {kx, -Pi, Pi}, {ky, -Pi, Pi}, {kz, -Pi, Pi},
 PlotPoints -> 30, Contours -> {0.000001}, Boxed -> False,
 Axes -> False, Mesh -> False]
 This works but only slowly.
Roger Bagula


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