Wythoff's Nim

The game below, which has no traditional name, was invented about 1960 by Rufus P. Isaacs, a mathematician at Johns Hopkins University. It is described briefly in Chapter 6 of the 1962 English translation of The Theory of Graphs and Its Applications, a book in French by Claude Berge. Let's call the game "Corner the Lady." Computer puts the queen on any cell in the top row or in the column farthest to the right of the board; Queen's location is designated by the red square. The queen moves in the usual way but only west, south or southwest. Eligible squares are colored in magenta. You click on one of these to select a move. You move first, then the computer and you alternate moves. The player who gets the queen to the lower left corner is the winner. No draw is possible, so that one of the players is sure to win.

This applet requires Sun's Java VM 2 which your browser may perceive as a popup. Which it is not. If you want to see the applet work, visit Sun's website at https://www.java.com/en/download/index.jsp, download and install Java VM and enjoy the applet.

What if applet does not run?


There is an additional implementation that is closer to the orginal Wythoff's game.

Related material

  • What Is a Combinatorial Game?
  • A Game of Candy Squares
  • A Sticky Problem
  • Another Sticky Problem
  • Date Game
  • Dawson's Chess: an Interactive Gizmo
  • Dawson's Kayles: an Interactive Gizmo
  • Grundy's Game
  • Hex 7
  • Kayles
  • Nimble: an Interactive Gizmo
  • Northcott's game (An Interactive Gizmo)
  • Odd Scoring
  • One Pile: an Interactive Gizmo
  • Plainim (An Interactive Gizmo)
  • Plainim Misere (An Interactive Gizmo)
  • Scoring: the simplest of the impartial games
  • Scoring Misere: an Interactive Gizmo
  • Scoring Misere: Two Heaps Perfect Strategy
  • The Fraction Game
  • The Silver Dollar Game
  • Silver Dollar Game With No Silver Dollar
  • Subtraction Game
  • TacTix: an Interactive Gizmo
  • Turning Turtles
  • Take-Away Games
  • Wythoff's Nim, Literal Implementation
  • Wythoff's Nim (An Interactive Gizmo)
  • |Activities| |Contact| |Front page| |Contents| |Algebra| |Eye opener|

    Copyright © 1996-2018 Alexander Bogomolny