```Date: Feb 18, 2005 7:14 AM
Author: Jon Miller
Subject: Trying to get a golden spiral from an overhead view of a helix

Hi, I wonder if someone could help me with a project I'm working on.It's a perspective drawing with what I hope are interesting geometricunderpinnings, but which are a bit beyond me, unfortunately. Here'sthe situation. The viewer or camera or whatever is looking right downthe central axis of a helix. It's my understanding that if you'relooking right down the central axis, a 2d representation of the helixwould approximate a logarithmic spiral. If it's a perspective and notan orthographic drawing, that is. I'm going for one logarithmic spiralin particular, what I think is called a golden spiral. The one shownhere:http://www.levitated.net/daily/levGoldenSpiral.htmlNow, it seems to me that the two properties of the helix that I canadjust to make it appear that way are its radius and the distancebetween its loops or coils. (Sorry, part of the problem is that Idon't really know the vocabulary.) My question is, can anyone help mefigure out what those two attributes of the helix should be, relativeto each other, for the view I'm describing to come as close aspossible to a golden spiral? Would it be the golden ratio orsomething?Finally, the entry for logarithmic spiral on MathWorld...http://mathworld.wolfram.com/LogarithmicSpiral.html...has something about approximating a logarithmic spiral by startingwith equally spaced rays and drawing a perpendicular from one to thenext. That would seem to relate, but I just can't get my head aroundit. Thanks so much for any help you can give me!
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