Material Detail

Wythoff's Nim

Wythoff's Nim

Wythoff?s Nim is a sub-page of Alexander Bogomolny?s Cut The Knot! site reviewed elsewhere in MERLOT; in particular, it is a sub-page of the Games and Puzzles section of the site. This page includes a java applet embodying a two-player strategy game that involves cornering a queen on a chessboard of sorts. An accompanying strategy analysis by Martin Gardner reveals that this game is isomorphic to Wythoff?s Nim, a version of the famous game of Nim. The recursively determined winning strategy is then analyzed as a set of numerical sequences with very deep and interesting results.

Rate

Quality

More about this material

Comments

Log in to participate in the discussions or sign up if you are not already a MERLOT member.