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MathMod — Holed Clifferd Torus
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Published: 2015-10-07 21:28:38 +0000 UTC; Views: 320; Favourites: 1; Downloads: 0
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Description
Holed Clifford Torus{
"Param3D": {
"Description ": ["Holed Clifford Torus by Abderrahman Taha 07/10/2015"],
"Name": ["Holed Clifford Torus"],
"Component": ["HoledCliffordTorus"],
"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= (abs(sin(15*u)*cos(15*v)))^7",
"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"]
}
}
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Comments: 4
Thanks! 
It's the first time I can work with parametric surfaces that complicated...hope this can help making isosurfaces with interesting set of holes
👍: 0 ⏩: 1
Couldn't resist
schmiegel.deviantart.com/art/H…
Thank you!
👍: 0 ⏩: 1
Thank you very much! That's really beautiful...
👍: 0 ⏩: 0