The phrase "art determined by" can be expressed in a multitude of ways through synonyms. Some examples include "art regulated by," "art influenced by," "art guided by," and "art dictated by." Other alternatives could include "art defined by," "art shaped by," or "art controlled by." All of these expressions convey the idea that there are external factors or forces that impact the creation of art, whether it be rules, societal norms, or individual preferences. By embracing a variety of synonyms for "art determined by," we can better understand the complex relationship between the artist and their art.