Architecture and Mathematics from Antiquity to the Future

Table of Contents

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   Book Overview
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   Chapter 1 Relationships Between Architecture and Mathematics
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   Chapter 2 Can There Be Any Relationships Between Mathematics and Architecture?
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   Chapter 3 Mathematics in , of and for Architecture: A Framework of Types
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   Chapter 4 Relationships Between History of Mathematics and History of Art
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   Chapter 5 Art and Mathematics Before the Quattrocento: A Context for Understanding Renaissance Architecture
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   Chapter 6 The Influence of Mathematics on the Development of Structural Form
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   Chapter 7 Old Shoes, New Feet, and the Puzzle of the First Square in Ancient Egyptian Architecture
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   Chapter 8 Geometric and Complex Analyses of Maya Architecture: Some Examples
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    Chapter 9 A New Geometric Analysis of the Teotihuacan Complex
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    Chapter 10 Geometry of Vedic Altars
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    Chapter 11 Inauguration: Ritual Planning in Ancient Greece and Italy
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    Chapter 12 The Geometry of the Master Plan of Roman Florence and Its Surroundings
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    Chapter 13 Architecture and Mathematics in Roman Amphitheatres
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    Chapter 14 The Square and the Roman House: Architecture and Decoration at Pompeii and Herculaneum
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    Chapter 15 The “Quadrivium” in the Pantheon of Rome
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    Chapter 16 “Systems of Monads” in the Hagia Sophia Hagia Sophia (Istanbul) : Neo-Platonic Mathematics in the Architecture of Late Antiquity
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    Chapter 17 Measure, Metre, Irony: Reuniting Pure Mathematics with Architecture
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    Chapter 18 Façade Measurement by Trigonometry
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    Chapter 19 Ancient Architecture and Mathematics: Methodology and the Doric Temple
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    Chapter 20 Calculation of Arches and Domes in Fifteenth-Century Samarkand
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    Chapter 21 Curves of Clay: Mexican Brick Vaults and Domes
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    Chapter 22 Mathematics and Structural Repair of Gothic Structures
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    Chapter 23 Mathematics of Carpentry in Historic Japanese Architecture
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    Chapter 24 On Some Geometrical and Architectural Ideas from African Art and Craft
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    Chapter 25 Design, Construction, and Measurement in the Inka Empire
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    Chapter 26 Vastu Geometry: Beyond Building Codes
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    Chapter 27 Algorithmic Architecture in Twelfth-Century China: The Yingzao Fashi
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    Chapter 28 The Celestial Key: Heaven Projected on Earth
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    Chapter 29 Friedrich II and the Love of Geometry
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    Chapter 30 Metrology and Proportion in the Ecclesiastical Architecture of Medieval Ireland
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    Chapter 31 The Cloisters of Hauterive Hauterive, Cistercian Monastery of
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    Chapter 32 The Use of Cubic Equations in Islamic Art and Architecture
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    Chapter 33 Explicit and Implicit Geometric Orders in Mamluk Floors: Secrets of the Sultan Hassan Floor in Cairo
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    Chapter 34 The Fibonacci Sequence and the Palazzo della Signoria Palazzo della Signoria (Florence) in Florence
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    Chapter 35 What Geometries in Milan Cathedral Milan Cathedral ?
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    Chapter 36 The Symmetries of the Baptistery and the Leaning Tower of Pisa Leaning Tower of Pisa
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    Chapter 37 Musical Proportions at the Basis of Systems of Architectural Proportion both Ancient and Modern
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    Chapter 38 From Renaissance Musical Proportions to Polytonality in Twentieth Century Architecture
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    Chapter 39 Quasi-Periodicity in Islamic Geometric Design
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    Chapter 40 The Universality of the Symmetry Concept
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    Chapter 41 Contra Divinam Proportionem
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    Chapter 42 Alberti’s Sant’Andrea and the Etruscan Proportion
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    Chapter 43 The Numberable Architecture of Leon Battista Alberti Alberti, Leon Battista as a Universal Sign of Order and Harmony
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    Chapter 44 Leon Battista Alberti Alberti, Leon Battista and the Art of Building
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    Chapter 45 Verrocchio Verrocchio (Andrea del Verrocchio) ’s Tombslab for Cosimo de’ Medici Tombslab for Cosimo de’ Medici : Designing with a Mathematical Vocabulary
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    Chapter 46 A New Geometric Analysis of the Pazzi Chapel Pazzi Chapel (Florence) in Santa Croce, Florence
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    Chapter 47 Muqarnas: Construction and Reconstruction