A Regular Nonagon
Date: 11/2/95 at 21:51:39 From: Anonymous Subject: Is there a regular nonagon I want to know if there is such a thing as a regular nonagon and if not, why can't you get one? I've tried by using "triangle paper" and using lots of different angle measures and side lengths (trial and error) and haven't gotten a regular nonagon yet. I'd like to know if I just haven't tried hard enough and there is one, or if it is non-existing. Please e-mail me at firstname.lastname@example.org Thanks- Tucker Hottes
Date: 11/5/95 at 16:29:21 From: Doctor Jeremy Subject: Re: Is there a regular nonagon There is such a thing. As a matter of fact, for any whole number that is three or greater, you can find a regular polygon with that many sides. The problem you had with getting a regular nonagon is that the regular nonagon has a weird angle between the sides. The angle between each of the segments of the regular nonagon is 140 degrees (measured from the inside). Triangle paper is designed to work with lots of angles like 30, 60, 90 degrees and so on. 140 isn't one of them. I'm not sure how you would draw one, at least using such tools. You probably could get one on a computer. But yes, it does exist. It's just very hard to draw. -Doctor Jeremy, The Geometry Forum
Search the Dr. Math Library:
Ask Dr. MathTM
© 1994- The Math Forum at NCTM. All rights reserved.