TPMS Equations

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Below is the table of standard TPMS available as Unit Cells with their corresponding equations. 

Image

 

Type

Equation

Gyroid-2.jpg   Gyroid sin(x) cos(y) + sin(y) cos(z) + sin(z) cos(x)
Schwarz-2.jpg   Schwarz cos(x)+cos(y)+cos(z)
Diamond-2.jpg   Diamond sin(x)*sin(y)*sin(z)+sin(x)*cos(y)*cos(z)+cos(x)*sin(y)*cos(z)+cos(x)*cos(y)*sin(z)
Lidinoid-2.jpg   Lidinoid sin(2*x) * cos(y) * sin(z) + sin(2*y) * cos(z) * sin(x) + sin(2*z) * cos(x) * sin(y) - cos(2*x) * cos(2*y) - cos(2*y) * cos(2*z) - cos(2*z) * cos(2*x) + .3
SPlitP-2.jpg   Split P 1.1*(sin(2*x)*sin(z)*cos(y)+sin(2*y)*sin(x)*cos(z)+sin(2*z)*sin(y)*cos(x))-0.2*(cos(2*x)*cos(2*y)+cos(2*y)*cos(2*z)+cos(2*z)*cos(2*x))-0.4*(cos(2*x) + cos(2*y) +cos(2*z))
 Neovius-2.jpg    Neovius  3*(cos(x)+cos(y)+cos(z))+4*cos(x)*cos(y)*cos(z)
Labels: TPMS gyroid equations lidinoid diamond Split P Neovius 
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