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read his post on octonions http://math.ucr.edu/home/baez/octonions/

The 1, 2, 4, 8 phenomenon surprised 20th-century mathematicians, and derives from weird facts about how S7, S3, and S1 fiber. (fibration is lining one shape with other shapes)



> read his post on octonions http://math.ucr.edu/home/baez/octonions/

Not for a discussion on associative normed algebras ….


Aren't there other strange facts about dimensions 1, 3 and 7, particularly in linear algebra?




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