The Hexad Game

  • Joseph Kahane
  • Alexander J. Ryba

Abstract

We give a non-enumerative proof that the $P$-positions of the hexad game give the Steiner system $S(5,6,12)$. We show that the distributions of nim sums and Welter values of these $P$-positions have simple and surprising regularities.

Published
2000-05-18