Automation of 3D Paper Modeling

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I recently saw this creative paper contraption online this prior weekend and wanted to see if I could automate the process of creating all ~35 layers of an equation. Essentially what I would want the final output file to be is either a pdf, jpeg, or something of the sort that gives you all ~35 layers outlined and ready to cut out, and then also the two bottom rectangles.

Any suggestions on what I should use to output such a file? I'm torn between MatLab, Maple, or Mathematica.

I have also attached the picture below for reference. enter image description here

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Mathematica and Excel (and I suspect the others) will work fine without going through a pdf. They will plot the points on a graph, which you can print and cut out. The hard part is getting the scales to match so squares stay square. I would suggest the equation on the side is incorrect: it should be $$z=\frac{\sin\sqrt{x^2+y^2}}{x^2+y^2}$$