How to create 3D shape via a math function?

I wish to machine a math sculpture in 3d, for example, a sinc function [z=(sin(x)/(x)].

The equation is in 2D, and it needs to be set up along the x and z axis, then rotated symmetrically around the z-axis in the x-y plane to create the 3D image. The result would look like a sombrero hat.

It may be possible to create the 3D image in another program like MathCad, but how could I get it into AXiS (or PythonVCP)?

Thanks, John. I will try out the Inscape CAM plug-in. I will also try to create the 2D Sinx/x function in Python, then call it as a subroutine and incrementing the z-axis to get the polar 3D image into AXIS.

Steve

Thanks, Andy for the great "Raw" Gcode idea.

It took awhile to try your code, but I could not get AXIS to stop complaining about the G3 line of code.

I also tried G3 F12 X0 Y0 I0 J0 which generated a new set of errors. Other attempts at displaying the toolpaths in NCPlot, CamBamFree and Discriminator did not succeed either.

Still a GCODE newbie, but having fun trying! Steve

May not be what you had in mind but will show a Gcode loop based on Andy's code.

#1 = 0.01
;O100 while [#1 LT 1800]
O100 while [#1 LT 180]
G0 Z1
G0 X[#1 / 400]
G1 F100 Z[SIN[#1]/#1]
;G3 F100 I0 J0
G3 F100 I0.5 J0.5
#1 = [#1 + 5]
O100 ENDWHILE
M2

An example 3d shape (sin(x)/x) using ngcgui:

Hello Dewey,

That looks cool. I may just have to add that to my machine!

Rick G