Re: Combining a parametric plot with a Graphics3D plot
- To: mathgroup at smc.vnet.net
- Subject: [mg79585] Re: Combining a parametric plot with a Graphics3D plot
- From: chuck009 <dmilioto at comcast.com>
- Date: Mon, 30 Jul 2007 06:43:39 -0400 (EDT)
Hello guys. I think I've come up with a nice solution: I was reviewing Michael Trott's code for generating the Riemann surfaces for the Lambert W fuction. You can get his code from the Mathworld site at "Lambert W fuction". He has a function to generate 3-D tubes of ParametricPlot3D plots called "maketubes". These are better rendered than just a curve. The plot below shows the imaginary components of three zeros of the function: f[z]=1+Exp[z]Sqrt[z]; 0<theta<2pi in terms of the multi-value 1/2W[2] as red, yellow and green "spheres" placed onto the imaginary surface of the multi-function f[z]=1/2W[z]. The yellow curve connecting them is a parametric tube set with a diameter of 1/40. Not bad. His code is good to review as it shows a lot of different techniques such as setting default options and re-defining functions using the Protect/Unprotect mechanism as well as a lot of techniques using short-cut symbols. http://img407.imageshack.us/img407/7127/wfunctionzerosny9.jpg Note to Michael: I changed your code a bit and am not using any of the figures you published. All the plots are mine.
