1. Now, this is was an interesting read. I remember doing thing with repeating fractions when I took History of Mathematics. None of it really seems to be too difficult for me on it since I am somewhat familiar with it. It is also nice that they gave us a general form for a repeating fraction at the very end of the reading in order to improve the efficiency of it all. I know that we are supposed to have something here that was difficult for us to understand, but I felt that everything made sense while I was reading through it. I guess the only thing that kind of surprised me in the reading was how they came up with the theorem out of nowhere--did they originally decide on 1/2s^2 because it fit a pattern or what?
2. I wonder how we are going to use this in our different cryptic systems. It is interesting and all, but we have been working with really big numbers lately. In a similar way, I guess we could work with irrationals? In any case, I really don't see yet what the application to our systems will be, but I'm sure it will be interesting. Or are we possibly moving on to a new system already?
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