In this paper, the concept of fractal is applied to describe the featu
res of nucleotide sequences. We introduce the mapping from nucleotide
sequences to two-dimensional metric space. Then we use this mapping to
study quantitatively the self-similarity of exon and intron sequences
in different scales. We find that self-similarity exists in the geome
trical range and main range of a nucleotide sequence and define the fr
actal dimension in these ranges. The results show that the fractal pro
perties of exon sequences are quite different from these of introns, r
eflecting their difference in structure and function. The fractal dime
nsion of the geometrical range may be used to predict the exon regions
of a raw nucleotide sequence. (C) 1995 Academic Press Limited