The people known as the Aztecs (self-designation: Mexica) traced their origins to Aztlán ("Place of Whiteness" or "Place of Herons"), a semi-legendary homeland believed to lie in northern Mexico or the southwestern U.S. (possibly Nayarit, Zacatecas, or even southern Arizona/California).
On the island(s), they built Tenochtitlan—a city of canals, causeways, chinampas (floating gardens), and temples. Through the Triple Alliance (1428) with Texcoco and Tlacopan, they became the dominant power in Mesoamerica.
Most scholars view Aztlán as a mythologized ancestral homeland, not a single locatable place. The migration narrative legitimized Mexica rule by linking them to the prestigious Toltec tradition and the broader Chichimeca northern ancestry.