So I understand that a surface is triply periodic when the surface is invariant under three tanslations in [itex]R^{3}[/itex]. When looking at the primitive for example, how is that translation defined? Say that the primitive is a set defined by the equation(adsbygoogle = window.adsbygoogle || []).push({});

[itex]cos(x)+cos(y)+cos(z)=0[/itex]

My guess is that the translation would take [itex](x,y,z)\rightarrow(x+\Delta x, y+\Delta y, z +\Delta z)[/itex]. Is that incorrect thinking?

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# Triply periodic surfaces

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