Polyhedrous refers to an object that has many surfaces or faces. Synonyms for polyhedrous can include multifaceted, many-sided, multidimensional, and complex. These words all convey a sense of an object with many different angles and perspectives. Other possible synonyms for polyhedrous might include intricate, multifarious, or variegated. These words suggest a sense of complexity or diversity, indicating that the object in question might be difficult to fully comprehend or understand. Overall, synonyms for polyhedrous are useful when looking to describe objects or ideas with many facets or layers, emphasizing the richness and depth of the subject at hand.