Mark Dow     Wed, Nov 11, 2009  Permanent link
By "transformed to rational by request", I think you mean "approximated by a rational by request", because your ruler needs to be "adjusted finely". I can finely adjust my Euclidean straight ruler in analogous fashion.

Also, a golden mean spiral is not special in this respect, aside from its relationship to the golden mean (ratio). The Pell sequence, sometimes called the silver sequence, is more directly related to the square root of two and so a Pell spiral would be a "natural" ruler. Any of the silver means can also be used.

I do like the idea. Is there a higher resolution graphic available?
edanet     Wed, Nov 11, 2009  Permanent link
Hi Mark. Thank you for your remark. It is very useful. I corrected some typos and changed the text of the picture, though I did not touch the basic text, to leave your remark valid.
I think the curiosity of this ruler is, that - in a way you can decide how long distance you would like to measure in advance. Naturally it is not logical to mix the measures randomly, only "rationally" to make measures, calculations and production (for example in architecture) easier.
My e-mail: I send you higher resolution picture if you write me yours.
Best Regards