Geodesic
The hexad game
The electronic journal of combinatorics, The Fraenkel Festschrift volume, Tome 8 (2001) no. 2
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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.
DOI : 10.37236/1610
Classification : 91A18
Mots-clés : hexad game, Steiner system, nim sums, regularities 
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     author = {Joseph Kahane and Alexander J. Ryba},
     title = {The hexad game},
     journal = {The electronic journal of combinatorics},
     year = {2001},
     volume = {8},
     number = {2},
     doi = {10.37236/1610},
     zbl = {0988.91010},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1610/}
}
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Joseph Kahane; Alexander J. Ryba. The hexad game. The electronic journal of combinatorics, The Fraenkel Festschrift volume, Tome 8 (2001) no. 2. doi: 10.37236/1610

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