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Index
Cover
Frontmatter
48. The Revolutionary, The Reactionary and The Revivalist: Architecture and Mathematics After 1500
1. Theories of Representation
49. Architecture, Mathematics and Theology in Raphael’s Paintings
50. Raphael and the Pantheon’s Interior: A Pivotal Moment in Architectural Representation
51. Design and Perspective Construction: Why Is the Chalice the Shape It Is?
52. Perspective in António Rodrigues’s Tratado de Arquitectura
2. 1500 a.d.–1900 a.d.
53. Ottoman Architecture: Relationships between Architectural Design and Mathematics in Sinan’s Works
54. The Mathematics of Palladio’s Villas
55. Golden Proportions in a Great House: Palladio’s Villa Emo
56. The Hidden Pavement Designs of the Laurentian Library
57. Measuring up to Michelangelo: A Methodology
58. António Rodrigues, a Portuguese Architect with a Scientific Inclination
59. Villalpando’s Sacred Architecture in the Light of Isaac Newton’s Commentary
60. Coelum Britannicum: Inigo Jones and Symbolic Geometry
61. The Science Behind Francesco Borromini’s Divine Geometry
62. Transformational Geometry and the Central European Baroque Church
63. Are There Connections Between the Mathematical Thought and Architecture of Sir Christopher Wren?
64. Robert Hooke’s Fire Monument: Architecture as a Scientific Instrument
65. Practical and Theoretical Applications of Geometry at Claude Perrault’s Observatoire de Paris (1667–1672)
3. 1800–2000
66. Geomantic (Re)Creation: Magic Squares and Claude Bragdon’s Theosophic Architecture
67. Mathematics and Music in the Art Glass Windows of Frank Lloyd Wright
68. Fractal Geometry in the Late Work of Frank Lloyd Wright: The Palmer House
69. Characteristic Visual Complexity: Fractal Dimensions in the Architecture of Frank Lloyd Wright and Le Corbusier
70. From Cosmic City to Esoteric Cinema: Pythagorean Mathematics and Design in Australia
71. The Ruled Geometries of Marcel Breuer
72. Conoids and Hyperbolic Paraboloids in Le Corbusier’s Philips Pavilion
73. Oscar Niemeyer Curved Lines: Few Words Many Sentences
74. Dom Hans van der Laan and the Plastic Number
75. Louis Kahn’s Platonic Approach to Number and Geometry
76. The Salk: A Geometrical Analysis Supported by Historical Evidence
4. Contemporary Approaches to Design and Analysis
77. Architecture and Mathematics: Soap Bubbles and Soap Films
78. Aperiodic Tiling, Penrose Tiling and the Generation of Architectural Forms
79. Paving the Alexanderplatz Efficiently with a Quasi-Periodic Tiling
80. Generation of Architectural Forms Through Linear Algebra
81. The Praxis of Roman Geometrical Ordering in the Design of a New American Prairie House
82. Exploring Architectural Form in Perspective: A Fractal Hypercube-Building
83. The Compass, the Ruler and the Computer: An Analysis of the Design of the Amphitheatre of Pompeii
84. Correlation of Laser-Scan Surveys of Irish Classical Architecture with Historic Documentation from Architectural Pattern Books
5. Theories and Applications of Computer Sciences
85. Mathematics and Architecture Since 1960
86. BiOrganic Design: A New Method for Architecture and the City
87. Formal Mutations: Variation, Constraint, Selection
88. The Role of Mathematics in the Design Process Under the Influence of Computational and Information Technologies
89. Generative Design Grammars: An Intelligent Approach Towards Dynamic and Autonomous Design
90. Ethics and Geometry: Computational Transformations and the Curved Surface in Architecture
91. Equiangular Numbers
92. Architecture as Verb and the Ethics of Making
Backmatter
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