Noam D. Elkies

activity

19992005

most citedSylvester-Gallai Theorems for Complex Numbers and Quaternions

29 citations · 73 across the 8 of their papers we have counts for

collaborators

Showing 2005Show all

2 papers · 1 filter

math.CO2005

New directions in enumerative chess problems

Noam D. Elkies

Normally a chess problem must have a unique solution, and is deemed unsound even if there are alternatives that differ only in the order in which the same moves are played. In an e…

math.GR2005★ 3 cited

The Mathieu group $M_{12}$ and its pseudogroup extension $M_{13}$

John H. Conway, Noam D. Elkies, Jeremy L. Martin

We study a construction of the Mathieu group $M_{12}$ using a game reminiscent of Loyd's ``15-puzzle''. The elements of $M_{12}$ are realized as permutations on~12 of the~13 points…

New directions in enumerative chess problems

The Mathieu group M12​ and its pseudogroup extension M13​

The Mathieu group $M_{12}$ and its pseudogroup extension $M_{13}$