Book excerpt: Platonic Architectonics: Platonic Philosophies & the Visual Arts examines philosophical structures of Plato in their structural, spatial, and architectonic implications. It examines elements of Plato's philosophical systems in relation to other philosophical systems, including those of Anaximander, Plotinus, Proclus, Nicolas Cusanus, Marsilio Ficino, Georges Bataille, Jacques Lacan, and Jacques Derrida. It also examines Plato's philosophy in relation to architectonic conceptions in the arts, including the work of Leon Battista Alberti and Piero della Francesca in the Renaissance, Paul Cezanne, and the Cubists and Deconstructivists in the twentieth century. Platonic Architectonics presents new interpretations of philosophical texts, artistic treatises, and works of art and architecture in Western culture as they are interrelated and related to Platonic and Neoplatonic philosophical structures. It demonstrates the importance of philosophy in the production of the visual arts throughout history and the importance of the relation between the work of art and the philosophical text and artistic treatise.