Groups > comp.soft-sys.math.mathematica > #3240

Re: implicit surfaces from older version of Mathematica

From	Roger Bagula <roger.bagula@gmail.com>
Newsgroups	comp.soft-sys.math.mathematica
Subject	Re: implicit surfaces from older version of Mathematica
Date	2011-06-22 07:57 +0000
Organization	Steven M. Christensen and Associates, Inc and MathTensor, Inc.
Message-ID	<its78j$66a$1@smc.vnet.net> (permalink)
References	<201106071047.GAA05975@smc.vnet.net> <isnllv$n7h$1@smc.vnet.net> <itejvd$s3f$1@smc.vnet.net>

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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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Thread

Re: implicit surfaces from older version of Mathematica Heike Gramberg <heike.gramberg@gmail.com> - 2011-06-08 11:16 +0000
  Re: implicit surfaces from older version of Mathematica Roger Bagula <roger.bagula@gmail.com> - 2011-06-14 10:13 +0000
  Re: implicit surfaces from older version of Mathematica Heike Gramberg <heike.gramberg@gmail.com> - 2011-06-15 11:21 +0000
  Re: implicit surfaces from older version of Mathematica Roger Bagula <roger.bagula@gmail.com> - 2011-06-17 04:08 +0000
    Re: implicit surfaces from older version of Mathematica Roger Bagula <roger.bagula@gmail.com> - 2011-06-22 07:43 +0000
    Re: implicit surfaces from older version of Mathematica Roger Bagula <roger.bagula@gmail.com> - 2011-06-22 07:57 +0000

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