2nd attempt at post with corrected code

*To*: mathgroup at smc.vnet.net*Subject*: [mg69274] 2nd attempt at post with corrected code*From*: "T Harris" <tdh1967 at bellsouth.net>*Date*: Tue, 5 Sep 2006 05:30:36 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

Hello, I have tried everything I know to get this code to look as it does in the notebook. I can't do it. However, once it is copied and pasted in a notebook, it works on my machine and looks like it originally did. If it doesn't work for anyone else, thanks for the try. I can't remove my last message. This is my second attempt at this. I am sorry others have tried and been unable to help because of missing code. If it doesn't work now, thanks, and I won't try again to repost this. There should be three parts to the code. If there is any type of error, please forget about it. Thanks. The two questions I had were (1) How do I find the planar area of the ellipsoid? and (2) How do I identify what plane it plots out on? In[1222]:= \!\(\(Clear[perpframe, r];\)\n \(r = Random[Real, {\[Pi]\/4, \[Pi]\/2}];\)\n \(s = Random[Real, {0, \[Pi]\/2}];\)\n \(\(t = Random[Real, {\(-\(\[Pi]\/2\)\), \[Pi]\/2}];\)\(\n\) \)\n \(Clear[perpframe];\)\n \(\({perpframe[1], perpframe[2], perpframe[3]} = {{Cos[r]\ Cos[t] - Cos[s]\ Sin[r]\ Sin[t], Cos[t]\ Sin[r] + Cos[r]\ Cos[s]\ Sin[t], Sin[s]\ Sin[t]}, {\(-Cos[s]\)\ Cos[t]\ Sin[r] - Cos[r]\ Sin[t], Cos[r]\ Cos[s]\ Cos[t] - Sin[r]\ Sin[t], Cos[t]\ Sin[s]}, {Sin[r]\ Sin[s], \(-Cos[r]\)\ Sin[s], Cos[s]}};\)\(\n\) \)\n \(ranger = 1.0;\)\n \(frameplot = Show[Table[ Arrow[perpframe[k], Tail \[Rule] {0, 0, 0}, VectorColor \[Rule] Indigo], {k, 1, 3}], Graphics3D[Text["\<perpframe[1]\>", 0.5\ perpframe[1]]], Graphics3D[Text["\<perpframe[2]\>", 0.5\ perpframe[2]]], Graphics3D[ Text["\<perpframe[3]\>", 0.5\ perpframe[3]]], \[IndentingNewLine]Axes3D[ranger], PlotRange \[Rule] {{\(-ranger\), ranger}, {\(-ranger\), ranger}, {\(-ranger\), ranger}}, Boxed \[Rule] False, Axes \[Rule] True, ViewPoint \[Rule] CMView, AxesLabel \[Rule] {"\<x\>", "\<y\>", "\<z\>"}];\)\) In[1230]:= {xstretch,ystretch,zstretch} = {1.5,0.8,0}; ranger=1.5; {slow,shigh} = {0,Pi}; {tlow,thigh} = {0,2 Pi}; hungellipsoidplot = ParametricPlot3D[ xstretch Sin[s] Cos[t] perpframe[1] + ystretch Sin[s] Sin[t] perpframe[2] + zstretch Cos[s]perpframe[3], {s,slow,shigh},{t,tlow, thigh}, PlotRange->{{-ranger,ranger},{-ranger,ranger},{-ranger,ranger}}, Axes->True,AxesLabel->{"x","y","z"}, Boxed->False,ViewPoint->CMView,DisplayFunction->Identity]; setup =Show[hungellipsoidplot,frameplot,Axes3D[ranger], DisplayFunction->$DisplayFunction]; In[1236]:= Show[setup,ViewPoint->12 perpframe[1]];