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So, I was working on computer science homework, and I decided that I would make a sequence, where there would be a coordinate given, such as (4,6), and there would be a given set of expressions, which are x = y/x and y = x/y, then you would repeat this. Now, what got me interested in this is when I repeated this over and over again, the coordinates would repeat. Then, I plotted the points on a coordinate plane, and this is what I got with, for example (3,3), which got me an iscoceles triangle.

http://img23.imageshack.us/img23/4966/triangled.png [Broken]

Which, then, with this method, I made a theorem that if both the x and y value are equal to each other and are larger than 0, then the formed triangle will always have two congruent sides.

I don't know if this is useful or has already been done before, so this is just an interesting find.

http://img23.imageshack.us/img23/4966/triangled.png [Broken]

Which, then, with this method, I made a theorem that if both the x and y value are equal to each other and are larger than 0, then the formed triangle will always have two congruent sides.

I don't know if this is useful or has already been done before, so this is just an interesting find.

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