Equiangular spiral 1

[qwertyu]

Does anybody know how to design a 3D equiangular spiral (something just like a nautilus shell)in SE12?. Thanks.

http://www-gap.dcs.st-and.ac.uk/~history/Curves/Equiangular.html

 

[swertel]

Curve by table is the only way.

Run that equation in a mathematical software. Get as many X,Y data points as you want for the smoothness of the curve. Use those data points in the curve by table command.

--Scott

For some pleasure reading, try FAQ731-376

 

[McLeod]

A curve table is probably the fastest method, but you might also be able to create it with construction geometry. I created an involute curve once using this method. Since an involute can be defined as the path traversed by a point on a string as the string is unwound from a circle, I mimicked this in a sketch. The trick was using the variable table to make the "string" segment lengths equal to the corresponding arc lengths. You could incorporate your equation in the variable table.

 

[Estuckey]

Yes, I can descibe how to construct it. However it would be better if I could post a jpeg image or a dwg file. It is easier to see how it is done.
Does anybody know how to post a file?

Ed Stuckey

 

[Wiemannironworks]

If you are looking for the mathematical progression for a nautilus-type shell, use the Golden Rectangle Method in sketch mode to develop the curves.