How can $\pi$ be defined as a surreal number. I want to express $\pi$ in the Surreal Number notation $\\{L|R\\}$. What is the most natural or intuitive way of doing so, seeing as there are many (possibly infinite) ways of expressing the same surreal number.

A simple explanation can be found in this wikipedia article, from which I take the following quotation:

> ... any real number $a$ can be represented by $\\{L_a \mid R_a\\}$, where $L_a$ is the set of all dyadic rationals less than $a$ and $R_a$ is the set of all dyadic rationals greater than $a$ (reminiscent of a Dedekind cut). Thus the real numbers are also embedded within the surreals.