[math-fun] Golay code question

On wikipedia, it's claimed that this generator matrix for the Golay code is given by the identity matrix and the complement of the vertex adjacency graph of the icosahedron. https://commons.wikimedia.org/wiki/File:BinaryGolayCode.svg However, I haven't been able to figure out a labeling of vertices that actually makes it work. In fact, it looks as though this construction starts with a cyclic 10x10 matrix and then adds two parity bits (which isn't to say it can't be done). I can label the vertices however I want and get an adjacency matrix for that labeling; is there a way to figure out the permutation given the two matrices? -- Mike Stay - metaweta@gmail.com http://www.cs.auckland.ac.nz/~mike http://reperiendi.wordpress.com