Architecture and Mathematics from Antiquity to the Future: Volume II: The 1500s to the Future

Front Matter....Pages i-xix
The Revolutionary, The Reactionary and The Revivalist: Architecture and Mathematics After 1500....Pages 1-27
Front Matter....Pages 29-29
Architecture, Mathematics and Theology in Raphael’s Paintings....Pages 31-42
Raphael and the Pantheon’s Interior: A Pivotal Moment in Architectural Representation....Pages 43-56
Design and Perspective Construction: Why Is the Chalice the Shape It Is?....Pages 57-71
Perspective in António Rodrigues’s Tratado de Arquitectura ....Pages 73-91
Front Matter....Pages 93-93
Ottoman Architecture: Relationships between Architectural Design and Mathematics in Sinan’s Works....Pages 95-106
The Mathematics of Palladio’s Villas....Pages 107-120
Golden Proportions in a Great House: Palladio’s Villa Emo....Pages 121-138
The Hidden Pavement Designs of the Laurentian Library....Pages 139-149
Measuring up to Michelangelo: A Methodology....Pages 151-164
António Rodrigues, a Portuguese Architect with a Scientific Inclination....Pages 165-181
Villalpando’s Sacred Architecture in the Light of Isaac Newton’s Commentary....Pages 183-196
 Coelum Britannicum : Inigo Jones and Symbolic Geometry....Pages 197-216
The Science Behind Francesco Borromini’s Divine Geometry....Pages 217-229
Transformational Geometry and the Central European Baroque Church....Pages 231-242
Are There Connections Between the Mathematical Thought and Architecture of Sir Christopher Wren?....Pages 243-255
Robert Hooke’s Fire Monument: Architecture as a Scientific Instrument....Pages 257-267
Practical and Theoretical Applications of Geometry at Claude Perrault’s Observatoire de Paris (1667–1672)....Pages 269-285
Front Matter....Pages 287-287
Geomantic (Re)Creation: Magic Squares and Claude Bragdon’s Theosophic Architecture....Pages 289-303
Mathematics and Music in the Art Glass Windows of Frank Lloyd Wright....Pages 305-323
Front Matter....Pages 287-287
Fractal Geometry in the Late Work of Frank Lloyd Wright: The Palmer House....Pages 325-337
Characteristic Visual Complexity: Fractal Dimensions in the Architecture of Frank Lloyd Wright and Le Corbusier....Pages 339-354
From Cosmic City to Esoteric Cinema: Pythagorean Mathematics and Design in Australia....Pages 355-366
The Ruled Geometries of Marcel Breuer....Pages 367-375
Conoids and Hyperbolic Paraboloids in Le Corbusier’s Philips Pavilion....Pages 377-387
Oscar Niemeyer Curved Lines: Few Words Many Sentences....Pages 389-405
Dom Hans van der Laan and the Plastic Number....Pages 407-419
Louis Kahn’s Platonic Approach to Number and Geometry....Pages 421-434
The Salk: A Geometrical Analysis Supported by Historical Evidence....Pages 435-446
Front Matter....Pages 447-447
Architecture and Mathematics: Soap Bubbles and Soap Films....Pages 449-458
Aperiodic Tiling, Penrose Tiling and the Generation of Architectural Forms....Pages 459-471
Paving the Alexanderplatz Efficiently with a Quasi-Periodic Tiling....Pages 473-481
Generation of Architectural Forms Through Linear Algebra....Pages 483-496
The Praxis of Roman Geometrical Ordering in the Design of a New American Prairie House....Pages 497-512
Exploring Architectural Form in Perspective: A Fractal Hypercube-Building....Pages 513-524
The Compass, the Ruler and the Computer: An Analysis of the Design of the Amphitheatre of Pompeii....Pages 525-540
Correlation of Laser-Scan Surveys of Irish Classical Architecture with Historic Documentation from Architectural Pattern Books....Pages 541-550
Front Matter....Pages 551-551
Mathematics and Architecture Since 1960....Pages 553-578
BiOrganic Design: A New Method for Architecture and the City....Pages 579-591
Formal Mutations: Variation, Constraint, Selection....Pages 593-608
Front Matter....Pages 551-551
The Role of Mathematics in the Design Process Under the Influence of Computational and Information Technologies....Pages 609-617
Generative Design Grammars: An Intelligent Approach Towards Dynamic and Autonomous Design....Pages 619-631
Ethics and Geometry: Computational Transformations and the Curved Surface in Architecture....Pages 633-647
Equiangular Numbers....Pages 649-659
 Architecture as Verb and the Ethics of Making....Pages 661-673
Back Matter....Pages 675-690