Measure of similarity of amino acids or how to obtain the genetic code table from 'nothing'

Nature selects the genetic code table to have a minimum risk caused by a point mutation (a misprint in a text of nucleotide sequence). The purpose of this paper is to accurately formulate and verify this hypothesis. The 'nothing' is (1) the code table is a map: codon → amino acid; (2) the structure of amino acids in 3D-space is known.