<p>This research presents a novel composite lattice structure, which incorporates fractal Menger sponge designs into strut-based frameworks. These structures are subjected to rigorous computational and empirical analysis to evaluate their density and strength. To create these complex fractal geometries, advanced three-dimensional printing techniques are employed. The compressive behavior of the lattices is examined through experimental and simulation methods under uniaxial compression. It is demonstrated that structural modifications exert a significant influence on mechanical properties, particularly effective density. Computational results indicate that hierarchical structures exhibit enhanced strength in comparison to single lattice designs. This suggests their suitability for applications requiring a balance of mechanical resilience and density. The study demonstrates that the novel configuration enhances mechanical characteristics while maintaining consistent effective density.</p>