Here. we investigate the fractal-lattice Hubbard model using various numerical methods: exact diagonalization. the self-consistent diagonalization of a (mean-field) Hartree-Fock Hamiltonian and state-of-the-art Auxiliary-Field Quantum Monte Carlo. We focus on the Sierpinski triangle with Hausdorff dimension $1. https://lecoureures.shop/product-category/course-a-pied-homme-vetements-singlet/