  We introduce the simple parametrization for the space of codons (triples of
nucleotides) by 8\times 8 table. This table (which we call the dyadic plane)
possesses the natural 2-adic ultrametric. We show that after this
parametrization the genetic code will be a locally constant map of the simple
form. The local constancy of this map will describe degeneracy of the genetic
code.
  The map of the genetic code defines 2-adic ultrametric on the space of amino
acids. We show that hydrophobic amino acids will be clustered in two balls with
respect to this ultrametric. Therefore the introduced parametrization of space
of codons exhibits the hidden regularity of the genetic code.
