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MathMod — Spiny Torus
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Published: 2015-10-09 16:54:46 +0000 UTC; Views: 245; Favourites: 1; Downloads: 0
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Description
Spiny Torus (parametric version)
MathMod script:
{
"Param3D": {
"Description ": ["Spiny Torus by Abderrahman Taha 09/10/2015"],
"Name": ["Spiny Torus"],
"Component": ["SpinyTorus"],
"Funct": ["Tickness= - (.27*abs(cos(11*(u+v))^2 - sin(13*(v-u))^5 ))^2.9"],
"Fx": ["-(1+ 0.5*cos(u))*cos(v)+Tickness(u,v,t)*(0.5*cos(u)*(1+ 0.5*cos(u))*cos(v))/sqrt((0.5*cos(u)*(1+ 0.5*cos(u))*cos(v))^2+(-0.5*sin(u)*sin(v)*sin(v)*(1+ 0.5*cos(u))-.5*sin(u)*cos(v)*(1+ 0.5*cos(u))*cos(v))^2+(-0.5*cos(u)*sin(v)*(1+ 0.5*cos(u)))^2)"],
"Fy": ["0.5*sin(u)+Tickness(u,v,t)*(-0.5*sin(u)*sin(v)*sin(v)*(1+ 0.5*cos(u))-.5*sin(u)*cos(v)*(1+ 0.5*cos(u))*cos(v))/sqrt((0.5*cos(u)*(1+ 0.5*cos(u))*cos(v))^2+(-0.5*sin(u)*sin(v)*sin(v)*(1+ 0.5*cos(u))-.5*sin(u)*cos(v)*(1+ 0.5*cos(u))*cos(v))^2+(-0.5*cos(u)*sin(v)*(1+ 0.5*cos(u)))^2)"],
"Fz": ["(1+ 0.5*cos(u))*sin(v)+Tickness(u,v,t)*(-0.5*cos(u)*sin(v)*(1+ 0.5*cos(u)))/sqrt((0.5*cos(u)*(1+ 0.5*cos(u))*cos(v))^2+(-0.5*sin(u)*sin(v)*sin(v)*(1+ 0.5*cos(u))-.5*sin(u)*cos(v)*(1+ 0.5*cos(u))*cos(v))^2+(-0.5*cos(u)*sin(v)*(1+ 0.5*cos(u)))^2)"],
"Umax": ["2*pi"],
"Umin": ["0"],
"Vmax": ["2*pi"],
"Vmin": ["0"]
}
}
