I'd like to draw an example of a tridimensional mass-spring system in LaTeX (preferably with TikZ or Asymptote). See the example below:

Mass-spring system example from Gibson & Mirtich 1997

(this one was taken from the article by Gibson and Mirtich (1997) here)

If possible, I want the coils to be realistic, like the example here.

Minimal (partially working) example follows. I only need to connect the dots in each plane with springs to finish it:



    settings.tex = "lualatex";

    import three;
    settings.prc = false;
    settings.render = 0;


    currentprojection = orthographic(-1, 0.5, 0.5, up=Y);
    draw(unitbox, pink);

    for (int i = 0; i <= 3; ++i)
      for (int j = 0; j <= 3; ++j)
        // plane "X" in Unity
        dot((0, i/3, j/3), magenta);
        // plane "Y"
        dot((i/3, 1, j/3), red);
        // planz "Z"
        dot((i/3, j/3, 1), black);


Demo of a mass-spring system in Asymptote

How can I finish it?

  • If you name the coordinates (e.g. P\i.\j) you could connect them with decorations or shapes (circuitikz fancy inductor comes to mind). Aug 31 '16 at 19:22
  • Alas, I cannot find asymptote.sty. Aug 31 '16 at 19:28
  • You could try to give it three point perspective, to give it more realism.
    – Manuel
    Aug 31 '16 at 19:33

Would you be happy with springs like these?




        amplitude = 1.5mm,
        pre length=1mm,
        post length=1mm,
    every node/.style={circle, draw}

\foreach \x in {0,4,...,12}{
    \foreach \y in {0,3,...,6}{
        \foreach \z in {0,3,6}{
                \node[fill=black!\z0] (n\x\y\z) at (\x,\y,\z) {};
                    \draw[decorate] (n\x\y\z) -- (n\lastx\y\z);
                    \draw[decorate] (n\x\y\z) -- (n\x\lasty\z);
                    \draw[decorate] (n\x\y\z) -- (n\x\y\lastz);



enter image description here


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