I am looking for the original proof of Wythoff's game. Wythoff provided the first full analysis of this game in "A modication of the game of nim, Nieuw Archief door Wiskunde, 199{202, 1907". Does anyone know any paper or book in which I can find an Enlgish translation of his proof?
The Wythoff game is played by two persons. Two piles of counters are placed on a table, the number of each pile being arbitrary, say $(i,j)$. The players play alternately and either take from one of the piles an arbitrary number of counters or from both piles an equal number. The player who takes up the last counter or counters, wins.
The cold position of Wythoff game is given by $([n \phi],[n \phi^2])$ for $n \in \mathbb{N}$, where $\phi$ is the golden ratio and $[x]$ denotes the integer part of $x$.