The symmetric pattern of codon degeneracies is discussed by using empirical arguments processed within a group-theoretic framework. It is reasoned that the genetic code is a relation rather than a mapping, and the symmetry of a relation defined on the codons is investigated. The principal results are (i) a new extraction of the basic symmetry inherent in the standard genetic code; (ii) the unification of the symmetry of ambiguous codon assignments with that of the standard genetic code; and (iii) the primacy of the concept of a biological context as that device which degenerates the code relation to a mapping.
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Findley et al. (1982) studied this question.
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