**Spectrum-Like Graphical Representation of DNA
Based on Codons**

*Laboratory of Chemometrics, National Institute of Chemisrtry, SI
– 1001 Ljubljana, Hajdrihova 19, PO Box 660, Slovenia*

Absrtract

We consider a novel 1-Dimensional representation of DNA, which is based on
graphical representations of the 64 triplets of nucleic acids on the periphery
of the unit circle. By using the polar coordinate of 64 codons (expressed in
radians) four letter DNA sequence is transformed into a numerical sequence with
no more than 64 different entries. By depicting the 1-Dim representation (plotted
on z-coordinate) and using the x co-ordinate as running index one obtains
“spectrum-like” graphical representation of DNA. The novel representation of
DNA has some advantages over other spectrum-like 1- dimensional and 2-dimensional
representations in using the same coordinates for the same codons thus avoiding
computations of coordinates, which is characteristic of the Jeffrey’s algorithm
and graphical representations of DNA based on its modification .

**Keywords:**
graphical representation of DNA, β-globin gene, table of codons, hilbert
fractal