Steve Gray posted the message below. It was intercepted (too big), and Steve has offered to send the PDF of his paper to interested parties. His address is "Steve Gray" <stevebg@adelphia.net> The paper is about placing similar figures on the edges of a polygon, such as the construction of equilateral triangles on the edges of a starting triangle. Rich rcs@cs.arizona.edu ---------------------- Steve Gray> Some of you may be interested in a paper of mine in the March 2003 American Mathematical Monthly, which arrived by mail here today. It's a significant extension of a result that's almost 100 years old, one that has been described as "remarkable" and "beautiful." I enclose a PDF file of the paper in its final format. This is the first of a planned series of papers on further generalizations of this theorem in plane geometry. These theorems apply to n-gons, where n > 2. Proofs are done with elementary matrix theory. For the most part, the results are harder to find than to prove, and while I have two or three more generalizations established and proved, I have been working to characterize and delimit the parameters for two other conjectures for at least six months. I didn't think there was that much left in "ordinary Euclidean" geometry.