A couple of people have emailed me about the ratio of consecutive Fibonacci numbers getting close and closer to Phi and why that is. So I've added a new section in The Golden Section - The Number and Its Geometry which proves this, updating the graphs too. There have been lots of small changes to add more references and update others, with two new awards added to the growing collection on the Home page . Several minor changes have been made to other pages. Please accept my apologies if I have not yet replied to you.
Short emails get a fast response, often the same day.
Dimtry Portnoy has suggested another Fibonacci Puzzle about Boat Building which I have added to the Easier Fibonacci Puzzles page. 16 October 2000 Dave Wood has found a new Fibonacci number pattern . I've found a proof of it that uses the same method as for the Fibonacci Number Trick . The Fibonacci, Golden Mean and Golden String pages have been checked for broken links by Linkguard 's free service. It seems an excellent resource, one I shall be using regularly.