The typical saddle shape of Pringles potato chips is referred to as a hyperbolic paraboloid. In AutoCAD, you can create this mathematical 3D shape using the freeware utility 3DPlot - see 3DPlot and see Download.
The mathematical definition of a symmetric hyperbolic paraboloid is:
Z = A * X^2 - A * Y^2.
then in LISP:
(defun pringle (u v)(list u v (- (* 0.5 u u)(* 0.5 v v))))
Plot this function using 3DPlot over the X and Y coordinate interval (-1 to 1), with a step size of 0.1:
(3dplot pringle -1 1 0.1 -1 1 0.1)
And to make the shape of the chip perfect, trim the resulting surface to a circular plan-shape. To do this, we must first convert the initial shape from the original polyline mesh to a 3D mesh (MESHSMOOTH) and then to a 3D surface (CONVTOSURFACE). This can then be trimmed with an auxiliary circle (SURFTRIM).
See the video demonstration of this procedure:
And see the finished DWG file Pringle.DWG available for download from the Block Library.
This approach is of course also applicable to other mathematical forms for architecture and design.
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