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. (1) the code table is a map: codon → amino acid; 2. (2) the structure of amino acids in 3D-space is known.