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implicit surfaces from older version of Mathematica

• To: mathgroup at smc.vnet.net
• Subject: [mg119510] implicit surfaces from older version of Mathematica
• From: Roger Bagula <roger.bagula at gmail.com>
• Date: Tue, 7 Jun 2011 06:47:40 -0400 (EDT)

This version was developed in version 3 ( I think)
 and was really slow and took up too much memory...
 It works in version 8, but there has to be an easier way...
Pictures are pretty in 8 and it has the real time effect build it
where you don't need all the views.

 (* <<Graphics`ContourPlot3D`*)
Clear[A, B, c, rho, x, y, z, f, g, FermiPlot, p, t]
Clear[g, gg, a, p, q, r, x, y, z, x0, y0, z0]

m = {{x, y, z, 0},
  {y, z, 0, -x},
  {z, 0, -x, -y},
  {0, -x, -y, -z}}
f[x_, y_, z_] = ExpandAll[Det[m] - 1]

  FermiPlot[energy_]:=
        ContourPlot3D[
        f[kx,ky,-kz],
        {kx,-0.001, -Pi/2+0.001},{ky, -0.001, -Pi/2+0.001},{kz,
-0.001, -Pi/2+0.001},PlotPoints->6,
                Contours -> {energy},Boxed->False];
g1 = FermiPlot[0.000001]

  FermiPlot[energy_]:=
        ContourPlot3D[
        f[kx,ky,-kz],
        {kx,0.001, Pi/2-0.001},{ky, 0.001, Pi/2-0.001},{kz, 0.001, Pi/
2-0.001},PlotPoints->6,
                Contours -> {energy}];
g2 = FermiPlot[0.000001]

  FermiPlot[energy_] :=
          ContourPlot3D[
           f[kx, ky, -kz],
           {kx, 0.001, Pi/2 - 0.001}, {ky, -0.001, -Pi/2 + 0.001},
{kz, -0.001, -Pi/2 + 0.001}, PlotPoints -> 6,
                   Contours -> {energy}];
g3 = FermiPlot[0.000001]

  FermiPlot[energy_] :=
          ContourPlot3D[
           f[kx, ky, -kz],
           {kx, 0.001, Pi/2 - 0.001}, {ky, 0.001, Pi/2 - 0.001}, {kz,
-0.001, -Pi/2 + 0.001}, PlotPoints -> 6,
                   Contours -> {energy}];
g4 = FermiPlot[0.000001]

  FermiPlot[energy_] :=
          ContourPlot3D[
           f[kx, ky, -kz],
           {kx, -0.001, -Pi/2 + 0.001}, {ky, -0.001, -Pi/2 + 0.001},
{kz, 0.001, Pi/2 - 0.001}, PlotPoints -> 6,
                   Contours -> {energy}];
g5 = FermiPlot[0.000001]

  FermiPlot[energy_] :=
          ContourPlot3D[
           f[kx, ky, -kz],
           {kx, -0.001, -Pi/2 + 0.001}, {ky, 0.001, Pi/2 - 0.001},
{kz, -0.001, -Pi/2 + 0.001}, PlotPoints -> 6,
                   Contours -> {energy}];
g6 = FermiPlot[0.000001]

  FermiPlot[energy_] :=
          ContourPlot3D[
           f[kx, ky, -kz],
           {kx, 0.001, Pi/2 - 0.001}, {ky, -0.001, -Pi/2 + 0.001},
{kz, 0.001, Pi/2 - 0.001}, PlotPoints -> 6,
                   Contours -> {energy}];
g7 = FermiPlot[0.000001]
 FermiPlot[energy_] :=
          ContourPlot3D[
           f[kx, ky, -kz],
           {kx, -0.001, -Pi/2 + 0.001}, {ky, 0.001, Pi/2 - 0.001},
{kz, 0.001, Pi/2 - 0.001}, PlotPoints -> 6,
                   Contours -> {energy}];
g8 = FermiPlot[0.000001]
ga = Show[{g1, g2, g3, g4, g5, g6, g7, g8}, Boxed -> False, PlotRange \
[Rule] All, Axes \[Rule] False]
Show[{g1, g2, g3, g4, g5, g6, g7, g8}, ViewPoint -> {0.000, -0.045,
3.384}, PlotRange \[Rule] All, Axes \[Rule] False]
Show[{g1, g2, g3, g4, g5, g6, g7, g8}, ViewPoint -> {0.009, -3.331,
0.597}, Boxed -> False, PlotRange \[Rule] All, Axes \[Rule] False]
Show[{g1, g2, g3, g4, g5, g6, g7, g8}, ViewPoint -> {-3.329, 0.088,
0.597}, Boxed -> False, PlotRange \[Rule] All, Axes \[Rule] False]

• Follow-Ups:
  • Re: implicit surfaces from older version of Mathematica
    • From: Heike Gramberg <heike.gramberg@gmail.com>