The research investigates the connections between travelling, writing, and entropy present in the work of the American visual artist Robert Smithson. Considering his proposition of entropy, which posits the inevitable wasting away of matter and the search for its evidence in situ, the corpus of the study will consist especially of two works of text and photographs produced in movement: A tour of the monuments of Passaic (1967), in which Smithson visits the New York suburb where he grew up surrounded by building sites revolving around the concept of non-site as ruin in reverse; and Mirror displacements in the Yucatán (1969), when the artist visits the Mexican territory, places mirrors in the rainforest and establishes a speculative dialogue with Mayan and Aztec deities. In both, the artist travels in search of signs of ruin, accumulation, and decay in the landscape, in an active exercise of entropology - that is, an artistic approach to the effects of entropy on landscape and culture, a development of the practice proposed by Claude Lévi-Strauss at the end of A World on the Wane and carried on by Smithson through his works in displacement. With an attentive eye on the layers of the artist s textual production, the research examines, in a speculative way, Smithson s notes on the conceptual construction of the non-site and how it can be constituted through an unfolded writing in maps, cartographies, and drafts that accompany his texts, proposing an updated reading of certain aesthetic and political issues raised by the artist in the 1960s, such as enantiomorphism, crystallography, culture as accumulation and decay, and scientific thought as fiction.