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MathMod — Twisted Clifford Torus
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Published: 2015-10-05 14:03:16 +0000 UTC; Views: 411; Favourites: 2; Downloads: 0
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Description
Twisted Clifford TorusMathMod script:
{
"Param3D": {
"Description ": ["Twisted Clifford Torus by Abderrahman Taha 05/10/2015"],
"Name": ["Twisted Clifford Torus"],
"Component": ["TwistedClifford"],
"Const": ["cu=0.0000000000001",
"cv=0.0000000000001"],
"Funct": ["Fx=cos(u+v)/(sqrt(2.)+cos(v-u))",
"Fy=sin(v-u)/(sqrt(2.)+cos(v-u))",
"Fz=sin(u+v)/(sqrt(2.)+cos(v-u))",
"DFxu= ((Fx(u,v,t)-Fx(u+cu,v,t))/cu)",
"DFxv= ((Fx(u,v,t)-Fx(u,v+cv,t))/cv)",
"DFyu= ((Fy(u,v,t)-Fy(u+cu,v,t))/cu)",
"DFyv= ((Fy(u,v,t)-Fy(u,v+cv,t))/cv)",
"DFzu= ((Fz(u,v,t)-Fz(u+cu,v,t))/cu)",
"DFzv= ((Fz(u,v,t)-Fz(u,v+cv,t))/cv)",
"n1= (DFyu(u,v,t)*DFzv(u,v,t)-DFzu(u,v,t)*DFyv(u,v,t))",
"n2= (DFzu(u,v,t)*DFxv(u,v,t)-DFxu(u,v,t)*DFzv(u,v,t))",
"n3= (DFxu(u,v,t)*DFyv(u,v,t)-DFyu(u,v,t)*DFxv(u,v,t))",
"R=sqrt(n1(u,v,t)^2+n2(u,v,t)^2+n3(u,v,t)^2)",
"Tickness=0.3*sin(10*u)*cos(10*v)",
"Gx=Fx(u,v,t)+Tickness(u,v,t)*n1(u,v,t)/R(u,v,t)",
"Gy=Fy(u,v,t)+Tickness(u,v,t)*n2(u,v,t)/R(u,v,t)",
"Gz=Fz(u,v,t)+Tickness(u,v,t)*n3(u,v,t)/R(u,v,t)"],
"Fx": ["Gx(u,v,t)"],
"Fy": ["Gy(u,v,t)"],
"Fz": ["Gz(u,v,t)"],
"Umax": ["2*pi"],
"Umin": ["0"],
"Vmax": ["pi"],
"Vmin": ["0"]
}
}
