CAD Forum - tips, tricks, discussion and utilities for AutoCAD, Inventor, Revit and other Autodesk products [www.cadforum.cz]
CZ | EN | DE
Login or
registration
  Visitors: 8887

CAD tip CAD tip # 13847:

   
Question CAD 
 %  platform  category 
Q - question

Pringles in AutoCAD - a hyperbolic paraboloid.

A - answer 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.

ACADADTACADMPlantMapCivil3D
100% *  CAD 
30.8.2023    55788×  

See also:
Tip 14027:3D heart from the heart.
Tip 12749:Generate parametric mathematical 3D surfaces (meshes) in Fusion 360.
Tip 9711:3DConstruct - converting a 3D mesh to a frame construct
Tip 9651:Convert a DWG 3D mesh model to an Inventor 3D solid part.
Tip 9625:How to color 3D topo surface model by slope?


Back   All CAD Tips



Have we helped you? If you want to support the CAD Forum web service, consider buying one of our CAD applications, or our custom software development offerings, or donating via PayPal (see above). You may also add a link to your web - like this "fan" link: CAD Forum - tips, utilities, blocks for Autodesk products
CAD:    OS:    Categ: 
Text:  FAQ glossary   



Featuring:
Use Google Earth images in your AutoCAD projects with the Plex.Earth Tools More info


Please use these tips at your own risk.
Arkance Systems is not responsible for possible problems that may occur as a result of using any of these tips.
TOPlist