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MathMod — Bumpy Klein
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Published: 2015-10-05 10:56:05 +0000 UTC; Views: 282; Favourites: 1; Downloads: 3
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Description
"Bumpy Klein"MathMod script:
{
"Param3D": {
"Name": ["Bumpy Klein"],
"Description ": ["Bumpy Klein by Abderrahman Taha 05/10/2015"],
"Component": ["Klein"],
"Const": ["cu=0.0000000000001",
"cv=0.0000000000001"],
"Funct": ["Fx= (2+cos(v/2)*sin(u)-sin(v/2)*sin(2*u))*cos(v)",
"Fy=sin(v/2)*sin(u)+cos(v/2)*sin(2*u)",
"Fz= (2+cos(v/2)*sin(u)-sin(v/2)*sin(2*u))*sin(v)",
"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=0.1*sin(20*v)*cos(20*u)",
"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": ["2*pi"],
"Vmin": ["0"]
}
}
