Chapter 2. Geometry and the Life of Forms
Chapter 3. Among the Trees: Iterating Geneses of Forms, in Art and Nature
Chapter 4. The Passion of Flight: From Leonardo da Vinci to Jean Letourneur
Chapter 5. Sculptor of Fluid Movement
Chapter 6. Internal Geometry of “Salvator Mundi” (The “Cook Version”, Attributed to Leonardo da Vinci)
Chapter 7. Internal Geometry of a Night Scene by Georges de La Tour: “The Apparition of the Angel to St. Joseph”
Chapter 8. Emergilience, an Art Research Project
Within the mathematical sciences themselves, geometry, born from the vision of space (geometry: “measuring the Earth”), is, in this respect, the first. In the words of Max Bill: “The primary element of any plastic work is geometry, in terms of relationships between positions in the plane or the space”1. Confronted with the forms they saw in nature, the early geometrists tried to understand them by drawing them in an idealized way, that is, by modeling them. In the artists’ hands, these basic forms became the means of expression with universal scope.
Before characterizing this unquestionable presence of mathematics in the works of art in more detail, we should first note that mathematics, by its very nature, has a tendency towards plastic representations: mathematical objects, created for the purpose of translating scientific abstractions into visual terms.
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