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MathMod — Neovious Tori

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Published: 2015-12-08 18:03:33 +0000 UTC; Views: 330; Favourites: 0; Downloads: 0
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Description Neovius Tori (implicit surface)
A combination between a Tori and the Neovius surface.
The Neovius surface is a triply periodic minimal surface originally discovered by Finnish mathematician Edvard Rudolf Neovius(1851-1917).
MathMod script:
{
"Iso3D": {
"Description": ["Neovius Tori-1.0 by Abderrahman Taha 06/12/2015"],
"Name": ["Neovius Tori"],
"Component": ["Neovius Tori"],
"Const": ["M=1",
"N=10"],
"Funct": ["Neovius=3*(cos(x)+cos(y)+cos(z))+7*cos(x)*cos(y)*cos(z)",
"isoCondition_0= (x^2-2.4^2)",
"isoCondition_1= (x^2-1.6^2)",
"isoTransform=if(isoCondition_0(x,y,z,t)<0,Neovius(x,y,z,t),1)+M*exp(isoCondition_1(x,y,z,t))",
"isoTransform2=isoTransform((sqrt(x*x+z*z)-8),y,N*atan2(z,x),t)"],
"Fxyz": ["-isoTransform2((sqrt(x*x+y*y)-15),N*atan2(y,x),z,t)"],
"Xmax": ["25"],
"Xmin": ["-25"],
"Ymax": ["25"],
"Ymin": ["-25"],
"Zmax": ["10.5"],
"Zmin": ["-10.5"]
}
}
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