| | For St. Andrew's Day
"The miraculous enters....
When we investigate these problems, some fantastic things happen...."
-- John H. Conway and N. J. A. Sloane, Sphere Packings, Lattices and Groups, preface to first edition (1988)
The remarkable
Mathieu group M24, a group of permutations on 24 elements, may be
studied by picturing its action on three interchangeable 8-element
"octads," as
in the "Miracle Octad Generator" of R. T. Curtis.
A picture of the Miracle Octad Generator, with my comments, is available online.
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| | Posted 11/30/2005 1:00 AM - 0 comments
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