Re: Superellisoid

*To*: mathgroup at smc.vnet.net*Subject*: [mg53730] Re: Superellisoid*From*: "Narasimham" <mathma18 at hotmail.com>*Date*: Tue, 25 Jan 2005 05:03:34 -0500 (EST)*References*: <cst5k0$k1b$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

The following works .1 < n < 6 OK. e = .6 ; n = 2.5; ztmp = 1 - (Abs[x]^(2/e) + Abs[y]^(2/e))^(e/n) z = ztmp^(n/2) Plot3D[z, {x, -2, 2}, {y, -2, 2}, PlotPoints -> {35, 35}]; Graphics << RealTime3D` may not seem to work properly. Damon LePleur wrote: > Thanks for reading this. I'm a graphic artist I'm trying to get a > functional notebook for exporting a superellipsoid object out to a > ..dxf format. I can produce the object in Pov-Ray and paste it into my > work as a graphic file but I would like to be able to manipulate it > directly in a 'manageable' program such as make use of .obj and .dxf > files. > > the pov source code says: > > * Superellipsoids are defined by the implicit equation > * > * f(x,y,z) = (|x|^(2/e) + |y|^(2/e))^(e/n) + |z|^(2/n) - 1 > * > * Where e is the east/west exponent and n is the north/south > exponent. > > what that means I can't imagine, the objects in Pov are pre-computed > and it's always been nice to just be able to type the code as : > > superellipsoid {<3, 3> pigment { Red } scale 2} > > hit 'render' and out it pops. this makes the shape I desire as at > > http://mywebpages.comcast.net/sdbennett/stuff/SUPELLPSoid_Example.jpg > > I can then duplicate and manipulate the object, but POV lacks a lot of > the options I like now in other programs such as Bryce and Cinema 4D, > so I want this object. > > Can someone help? My wife has a copy of Mathematica at Vanderbilt but > I'm not able to really fiddle with it much and that's all I can do is > fiddle, I'm not any good with math at all, I just need this 'simple' > object. > > Thanks in advance for your help, I have finally managed to export > objects to .dxf after what took forever for me to figure out the > program. Thanks again I appreciate and admire your expertise. > > Sincerely, > > Steve Bennett > www.karmastorm.com > sdbennett at comcast.not