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A 3D graphical representation of DNA sequence has been derived from chaos game representation of DNA sequence. The 3D graphical representation also avoids loss of information. According to classifications of four bases of DNA sequence we obtain three characteristic curves. The geometrical centers and fluctuation of three curves have been grouped into a twelve-component vector to represent the DNA sequence. The Euclidean distances among introduced vectors are applied to characterize and compare the coding sequences of the first exon of β-globin gene of 11 different species.