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To: sci.math (?) From: ramsay@unixg.ubc.ca (Keith Ramsay) Subj: Magick Squares and I Ching (0000.msqichg.kr) Date: unknown Quoting: |tyagi nagasiva |>James |What does (a+b)^2 have to do with the I Ching | |>Should have been (a^2 + b^2)^3 which I believe has 64 |>terms in its expansion - I remember a diagram showing |>a geometric representation of two squares moving in a cube. Try (a+b)^6 = ((a+b)^2)^3, which can be expanded as aaaaaa+aaaaab+... +bbbbbb with 64 terms in an obvious way (two ways of choosing each factor). (Of course in commutative algebra one usually combines them as a^6+6a^5b+15a^4b^2+20a^3b^3+15a^2b^4+6ab^5+b^6 to get just 7 terms, but this is beside the point here.) Keith Ramsay ramsay@unixg.ubc.ca
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