The Road to Reality

Exercise [16.05]
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Author:  deant [ 26 Mar 2011, 20:53 ]
Post subject:  Exercise [16.05]

Solution to Exercise [16.05]:

Exercise [16.05].pdf [116.92 KiB]
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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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