|The Road to Reality
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|Author:||deant [ 26 Mar 2011, 20:53 ]|
|Post subject:||Exercise [16.05]|
Solution to Exercise [16.05]:
|Author:||deant [ 26 Mar 2011, 21:12 ]|
|Post subject:||Re: Exercise [16.05]|
By the way, strictly speaking the marks around the outside of the magic disk represent elements of the projective plane of F2, not elements of F2 x F2 x F2.
However, since the only elements of F2 are 0 and 1, there is only one representation for a given ratio (or set of ratios) of values; and so the projective n-space Pn(F2) is point-for-point identical to the vector space (F2)^(n+1) with the origin excluded (for any n>0).
This is not true for any other finite group Fp, p>2.
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