Could the nine point circle be relevant to coding theory etc ? Specifically, since a circle is specified by any 3 points, the other 6 could possibly be the parity bits and used for error correction etc. Could this be generalized to other curves (9 point conic , elliptic curves etc) and possibly dimensions other than 2/3 ? Could the above also provide the basis for diagonalization of 3X3 matrices of complex numbers (9 points) where the original 3 points would be the entries of the diagonal matrix. Could the above be relevant to genomic and protein sequences ?
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