The structure of paintings
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Bibliographic Information
The structure of paintings
Springer, c2006
- : pbk
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Description and Table of Contents
Description
Michael Leyton has developed new foundations for geometry in which shape is equivalent to memory storage. A principal argument of these foundations is that artworks are maximal memory stores. The theory of geometry is developed from Leyton's fundamental laws of memory storage, and this book shows that these laws determine the structure of paintings. Furthermore, the book demonstrates that the emotion expressed by a painting is actually the memory extracted by the laws. Therefore, the laws of memory storage allow the systematic and rigorous mapping not only of the compositional structure of a painting, but also of its emotional expression. The argument is supported by detailed analyses of paintings by Picasso, Raphael, Cezanne, Gauguin, Modigliani, Ingres, De Kooning, Memling, Balthus and Holbein.
Table of Contents
1 Shape as Memory Storage 1.1 Introduction 1.2 New Foundations to Geometry 1.3 The World as Memory Storage 1.4 The Fundamental Laws 1.5 The Meaning of an Artwork 1.6 Tension 1.7 Tension in Curvature 1.8 Curvature Extrema 1.9 Symmetry in Complex Shape 1.10 Symmetry-Curvature Duality 1.11 Curvature Extrema and the Symmetry Principle 1.12 Curvature Extrema and the Asymmetry Principle 1.13 General Shapes 1.14 The Three Rules 1.15 Process Diagrams 1.16 Trying out the Rules 1.17 How the Rules Conform to the Procedure for Recovering the Past 1.18 Applying the Rules to Artworks 1.19 Case Studies 1.19.1 Picasso: Large Still-Life with a Pedestal Table 1.19.2 Raphael: Alba Madonna 1.19.3 Cezanne: Italian Girl Resting on Her Elbow 1.19.4 de Kooning: Black Painting 1.19.5 Henry Moore: Three Piece #3, Vertebrae 1.20 The Fundamental Laws of Art 2 Expressiveness of Line 2.1 Theory of Emotional Expression 2.2 Expressiveness of Line 2.3 The Four Types of Curvature Extrema 2.4 Historical Characteristics of Extrema 2.5 The Role of the Historical Characteristics 2.6 The Duality Operator 2.7 Picasso: Woman Ironing 3 The Evolution Laws 3.1 Introduction 3.2 Process Continuations 3.3 Continuation at M+ and m- 3.4 Continuation at m+ 3.5 Continuation at M- 3.6 Bifurcations 3.7 Bifurcation at M+ 3.8 Bifurcation at m- 3.9 The Bifurcation Format 3.10 Bifurcation at m+ 3.11 Bifurcation atM- 3.12 The Process-Grammar 3.13 The Duality Operator and the Process-Grammar 3.14 Holbein: Anne of Cleves 3.15 The Entire History 3.16 History on the Full Closed Shape 3.17 Gauguin: Vision after the Sermon 3.18 Memling: Portrait of a Man 3.19 Tension and Expression 4 Smoothness-Breaking 4.1 Introduction 4.2 The Smoothness-Breaking Operation 4.3 Cusp-Formation 4.4 Always the Asymmetry Principle 4.5 Cusp-Formation in Compressive Extrema 4.6 The Bent Cusp 4.7 Picasso: Demoiselles d'Avignon 4.8 The Meaning of Demoiselles d'Avignon 4.9 Balthus: Therese 4.10 Balthus: Therese Dreaming 4.11 Ingres: Princesse de Broglie 4.12 Modigliani: Jeanne Hebuterne 4.13 The Complete Set of Extrema-Based Rules 4.14 Final Comments
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