## Abstract

In this work is presented a pedagogical point of view of multifractal analysis deoxyribonucleic acid (DNA) sequences is presented. The DNA sequences are formed by 4 nucleotides (adenine, cytosine, guanine, and tymine). Following Jeffrey’s paper we associated a simple contractive function to each nucleotide, and constructed the Hutchinson’s operator *W*, which was used to build covers of different sizes of the unitary square *Q*, thus *W ^{k}*(

*Q*) is a cover of

*Q*, conformed by 4

*squares*

^{k}*Q*of size 2

_{k}*, as each*

^{−k}*Q*corresponds to a unique subsequence of nucleotides with length

_{k}*k*:

*b*

_{1}

*b*

_{2}

*...b*. Besides, it is obtained the optimal cover

_{k}*C*to the fractal

_{k}*F*generated for each DNA sequence was obtained. We made a multifractal decomposition of

*C*in terms of the sets

_{k}*J*conformed by the

_{α}*Q*’s with the same value of the Holder exponent

_{k}*α*, and determined

*f*(

*α*), the Hausdorff dimension of

*J*, using the curdling theorem.

_{α}