AbstractWe extend previous real‐space Hartree–Fock studies of static stripe stability to determine the phase diagram of the Hubbard model with anisotropic nearest‐neighbor hopping t, by varying the on‐site Coulomb repulsion U and investigating locally stable structures for representative hole doping levels x = 1/8 and x = 1/6. We also report the changes in stability of these stripes in the extended Hubbard model due to next‐neighbor hopping t′ and to a nearest‐neighbor Coulomb interaction V.