This article was published in Scientific American’s former blog network and reflects the views of the author, not necessarily those of Scientific American The more I learn about continued fractions, ...

About a month ago, I awoke from a dream totally psyched about the brilliant blog post I would write for Valentine's Day. In my dream, I had seen the mathematical concept of continued fractions as a ...

A systematic method for obtaining the best possible approximation of a given ratio makes use of some of the properties of continued fractions. Although the procedure involved is more lengthy than ...