Candidate of Technical Sciences, Chief Specialist of the Computer Center,

Volgograd State Technical University

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Prosp. Lenina, 28, 400005 Volgograd, Russian Federation

Assistant Professor, Department of Bioengineering and Bioinformatics,

Volgograd State University

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Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation

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Abstract. This work applies to the field of bioinformatics and analyzes all 4! = 24 permutations of numbers 1, 2, 3, 4 as 4 factors by means of factor analysis. Computational analysis helped us to get 4 factor coordinates – x, y, z. Minimum Euclidean distances between all 24 vertices create edges of truncated octahedron. Every vertex of truncated octahedron matches with a triplet (it is the genetic code’s codon) and appropriate amino acid. We have created the graph of truncated octahedron’s projections and its isometric (three-dimensional) image. We have also analyzed detected sequences in physical and chemical characteristics of amines which are located in vertices of our figure. We have interpreted three factor axis of coordinate system. 

Key words: truncated octahedron, factor analysis, genetic code, permutations, bioinformatics.