The 2-(64,8,1) Design
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The combinatorial design 2-(64,8,1) can be represented with four squares. For any 2 integers chosen up to 64, there is exactly 1 length-8 row, column, or diagonal that contains the pair. Each square can be modified by one of the 8!! = 384 permutations that preserve rows, columns, and diagonals. Combinatorially, 2-(64,8,1) is unique.
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Contributed by: Ed Pegg Jr (March 2011)
Open content licensed under CC BY-NC-SA
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"The 2-(64,8,1) Design"
http://demonstrations.wolfram.com/The26481Design/
Wolfram Demonstrations Project
Published: March 7 2011