  We present an integral density method for calculating the multifractal
dimension spectrum for the nucleon distribution in atomic nuclei. This method
is then applied to analyze the non-uniformity of the density distribution in
several typical types of nuclear matter distributions, including the
Woods-Saxon distribution, the halo structure and the tetrahedral $\alpha$
clustering. The subsequent discussion provides a comprehensive and detailed
exploration of the results obtained. The multifractal dimension spectrum shows
remarkable sensitivity to the density distribution, establishing it as an
effective tool for studying the distribution of nucleons in nuclear multibody
systems.
