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A new Clifford torus type surface using a six cordinate triaxial mo   Message List  
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A new Clifford torus type surface using a six cordinate triaxial model:
( Mathematica Notebook)
x1 = Cos[t]; x2 = Cos[t + 2*Pi/3]; x3 = Cos[t - 2*Pi/3];
y1 = Cos[p]; y2 = Cos[p + 2*Pi/3]; y3 = Cos[p - 2*Pi/3];
x = x1*(Sqrt[2] + y1)/(Sqrt[2] + x3*y3)
y = x2*(Sqrt[2] + y2)/(Sqrt[2] + x3*y3)
z = 1/(Sqrt[2] + x3*y3)
g1 = ParametricPlot3D[{x, y, z}, {t, 0, 2*Pi}, {p, 0, Pi}]
g2 = ParametricPlot3D[{x, y, z}, {t, 0, 2*Pi}, {p, Pi, 2*Pi}]
Show[{g1, g2}]
Show[{g1, g2}, ViewPoint -> {-0.998, 0.828, 3.125}

>Roger L. Bagula { email: rlbagula@... or rlbagulatftn@... }
>
>
11759 Waterhill Road,
Lakeside, Ca. 92040 telephone: 619-561-0814



Tue Oct 25, 2005 9:26 pm

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A new Clifford torus type surface using a six cordinate triaxial model: ( Mathematica Notebook) x1 = Cos[t]; x2 = Cos[t + 2*Pi/3]; x3 = Cos[t - 2*Pi/3]; y1 =...
Roger Bagula
rlbagulatftn
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Oct 25, 2005
9:26 pm

Interesting. Any special properties?(chirality etc.) Seems to be a self-intersecting surface. PlotPoints->{41,21} increased surface smoothness of g1 and g2....
Narasimham Gudipaty
glnarasimham
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Oct 26, 2005
4:07 am

... The symmetrical version : x=x1/(Sqrt[2]+y1) y=x2/(Sqrt[2]+y2) z=x3/(Sqrt[2]+y3) is very pretty. Roger L. Bagula { email: rlbagula@... or...
Roger Bagula
rlbagulatftn
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Oct 26, 2005
11:00 pm
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