Ant complex refers to the labyrinthine tunnels and living spaces created by ants in their colonies. Many other phrases and words can be used to describe this intricate network of passages and chambers. One possible synonym is ant nest, which captures the idea of the colony as a home for the ants. Another term that could be used is ant hive, which emphasizes the industrious and productive nature of the ants and their labor. Ant labyrinth is another synonym, suggesting the complexity and maze-like structure of the colony. Other possible synonyms include ant warren, ant burrow, and ant lair. All these terms capture different aspects of the fascinating world of ant colonies.