Architecture and mathematics from antiquity to the future . Volume 1-2

목차 (Table of Contents)

• [volume. vol.1]----------
• CONTENTS
• 1 Relationships Between Architecture and Mathematics / Michael J. Ostwald ; Kim Williams = 1
• Part Ⅰ Mathematics in Architecture
• 2 Can There Be Any Relationships Between Mathematics and Architecture? / Mario Salvadori = 25
• 3 Mathematics in, of and for Architecture : A Framework of Types / Michael J. Ostwald ; Kim Williams = 31
• 4 Relationships Between History of Mathematics and History of Art / Clara Silvia Roero = 59
• 5 Art and Mathematics Before the Quattrocento : A Context for Understanding Renaissance Architecture / Stephen R. Wassell = 67
• 6 The Influence of Mathematics on the Development of Structural Form / Holger Falter = 81
• Part Ⅱ From 2000 B.C. to 1000 A.D.
• 7 Old Shoes, New Feet, and the Puzzle of the First Square in Ancient Egyptian Architecture / Peter Schneider = 97
• 8 Geometric and Complex Analyses of Maya Architecture : Some Examples / Gerardo Burkle-Elizondo ; Nicoletta Sala ; Ricardo David Valdez-Cepeda = 113
• 9 A New Geometric Analysis of the Teotihuacan Complex / Mark A. Reynolds = 127
• 10 Geometry of Vedic Altars / George Gheverghese Joseph = 149
• 11 Inauguration : Ritual Planning in Ancient Greece and Italy / Graham Pont = 163
• 12 The Geometry of the Master Plan of Roman Florence and Its Surroundings / Carol Martin Watts = 177
• 13 Architecture and Mathematics in Roman Amphitheatres / Sylvie Duvernoy = 189
• 14 The Square and the Roman House : Architecture and Decoration at Pompeii and Herculaneum / Carol Martin Watts = 201
• 15 The "Quadrivium" in the Pantheon of Rome / Gert Sperling = 215
• 16 "Systems of Monads" in the Hagia Sophia : Neo-Platonic Mathematics in the Architecture of Late Antiquity / Helge Svenshon ; Rudolf H.W. Stichel = 229
• Part Ⅲ Theories of Measurement and Structure
• 17 Measure, Metre, Irony : Reuniting Pure Mathematics with Architecture / Robert Tavernor = 245
• 18 Façade Measurement by Trigonometry / Paul A. Calter = 261
• 19 Ancient Architecture and Mathematics : Methodology and the Doric Temple / Mark Wilson Jones = 271
• 20 Calculation of Arches and Domes in Fifteenth-Century Samarkand / Yvonne Dold-Samplonius = 297
• 21 Curves of Clay : Mexican Brick Vaults and Domes / Alfonso Ramírez Ponce ; Rafael Ramírez Melendez = 309
• 22 Mathematics and Structural Repair of Gothic Structures / Javier Barrallo ; Santiago Sanchez-Beitia = 325
• 23 Mathematics of Carpentry in Historic Japanese Architecture / Izumi Kuroishi = 333
• 24 On Some Geometrical and Architectural Ideas from African Art and Craft / Paulus Gerdes = 349
• 25 Design, Construction, and Measurement in the Inka Empire / William D. Sapp = 361
• Part Ⅳ From 1100 A.D.-1400 A.D.
• 26 Vastu Geometry : Beyond Building Codes / Vini Nathan = 375
• 27 Algorithmic Architecture in Twelfth-Century China : The Yingzao Fashi / Andrew I-kang Li = 389
• 28 The Celestial Key : Heaven Projected on Earth / Niels Bandholm = 399
• 29 FriedrichⅡ and the Love of Geometry / Heinz Götze = 423
• 30 Metrology and Proportion in the Ecclesiastical Architecture of Medieval Ireland / Avril Behan ; Rachel Moss = 439
• 31 The Cloisters of Hauterive / Benno Artmann = 453
• 32 The Use of Cubic Equations in Islamic Art and Architecture / Alpay Özdural = 467
• 33 Explicit and Implicit Geometric Orders in Mamluk Floors : Secrets of the Sultan Hassan Floor in Cairo / Gulzar Haider ; Muhammad Moussa = 483
• 34 The Fibonacci Sequence and the Palazzo della Signori a in Florence / Maria Teresa Bartoli = 497
• 35 What Geometries in Milan Cathedral? / Elena Marchetti ; Luisa Rossi Costa = 509
• 36 The Symmetries of the Baptistery and the Leaning Tower of Pisa / David Speiser = 535
• Part Ⅴ Theories of Proportion, Symmetry, Periodicity
• 37 Musical Proportions at the Basis of Systems of Architectural Proportion both Ancient and Modern / Jay Kappraff = 549
• 38 From Renaissance Musical Proportions to Polytonality in Twentieth Century Architecture / Radoslav Zuk = 567
• 39 Quasi-Periodicity in Islamic Geometric Design / Peter Saltzman = 585
• 40 The Universality of the Symmetry Concept / István Hargittai ; Magdolna Hargittai = 603
• 41 Contra Divinam Proportionem / Marco Frascari ; Livio G. Volpi Ghirardini = 619
• Part Ⅵ From 1400 A.D.-1500 A.D.
• 42 Alberti's Sant' Andrea and the Etruscan Proportion / Michael R. Ytterberg = 629
• 43 The Numberable Architecture of Leon Battista Alberti as a Universal Sign of Order and Harmony / Livio G. Volpi Ghirardini = 645
• 44 Leon Battista Alberti and the Art of Building / Salvatore di Pasquale = 663
• 45 Verrocchio's Tombslab for Cosimo de' Medici : Designing with a Mathematical Vocabulary / Kim Williams = 675
• 46 A New Geometric Analysis of the Pazzi Chapel in Santa Croce, Florence / Mark A. Reynolds = 687
• 47 Muqarnas : Construction and Reconstruction / Yvonne Dold-Samplonius ; Silvia L. Harmsen = 709
• Index for VolumeⅠ = 721
• Index for VolumeⅡ = 729
• [volume. vol.2]----------
• CONTENTS
• 48 The Revolutionary, The Reactionary and The Revivalist : Architecture and Mathematics After 1500 / Michael J. Ostwald ; Kim Williams = 1
• Part Ⅶ Theories of Representation
• 49 Architecture, Mathematics and Theology in Raphael's Paintings / David Speiser = 31
• 50 Raphael and the Pantheon's Interior : A Pivotal Moment in Architectural Representation / Kristina Luce = 43
• 51 Design and Perspective Construction : Why Is the Chalice the Shape It Is? / Richard Talbot = 57
• 52 Perspective in António Rodrigues's Tratado de Arquitectura / João Pedro Xavier = 73
• Part Ⅷ 1500 A.D.-1900 A.D.
• 53 Ottoman Architecture : Relationships between Architectural Design and Mathematics in Sinan's Works / Zafer Sağdiç = 95
• 54 The Mathematics of Palladio's Villas / Stephen R. Wassell = 107
• 55 Golden Proportions in a Great House : Palladio's Villa Emo / Rachel Fletcher = 121
• 56 The Hidden Pavement Designs of the Laurentian Library / Ben Nicholson ; Jay Kappraff ; Saori Hisano = 139
• 57 Measuring up to Michelangelo : A Methodology / Paul A. Calter ; Kim Williams = 151
• 58 António Rodrigues, a Portuguese Architect with a Scientific Inclination / João Pedro Xavier = 165
• 59 Villalpando's Sacred Architecture in the Light of Isaac Newton's Commentary / Tessa Morrison = 183
• 60 Coelum Britannicum : Inigo Jones and Symbolic Geometry / Rumiko Handa = 197
• 61 The Science Behind Francesco Borromini's Divine Geometry / John G. Hatch = 217
• 62 Transformational Geometry and the Central European Baroque Church / John Clagett = 231
• 63 Are There Connections Between the Mathematical Thought and Architecture of Sir Christopher Wren? / Maria Zack = 243
• 64 Robert Hooke's Fire Monument : Architecture as a Scientific Instrument / Maria Zack = 257
• 65 Practical and Theoretical Applications of Geometry at Claude Perrault's Observatoire de Paris(1667-1672) / Randy S. Swanson = 269
• Part Ⅸ 1800-2000
• 66 Geomantic (Re)Creation : Magic Squares and Claude Bragdon's Theosophic Architecture / Eugenia Victoria Ellis = 289
• 67 Mathematics and Music in the Art Glass Windows of Frank Lloyd Wright / Leonard K. Eaton = 305
• 68 Fractal Geometry in the Late Work of Frank Lloyd Wright : The Palmer House / Leonard K. Eaton = 325
• 69 Characteristic Visual Complexity : Fractal Dimensions in the Architecture of Frank Lloyd Wright and Le Corbusier / Michael J. Ostwald ; Josephine Vaughan ; Chris Tucker = 339
• 70 From Cosmic City to Esoteric Cinema : Pythagorean Mathematics and Design in Australia / Graham Pont ; Peter Proudfoot = 355
• 71 The Ruled Geometries of Marcel Breuer / John Poros = 367
• 72 Conoids and Hyperbolic Paraboloids in Le Corbusier's Philips Pavilion / Alessandra Capanna = 377
• 73 Oscar Niemeyer Curved Lines : Few Words Many Sentences / Benamy Turkienicz ; Rosirene Mayer = 389
• 74 Dom Hans van der Laan and the Plastic Number / Richard Padovan = 407
• 75 Louis Kahn's Platonic Approach to Number and Geometry / Steven Fleming = 421
• 76 The Salk : A Geometrical Analysis Supported by Historical Evidence / Steven Fleming ; Mark A. Reynolds = 435
• Part Ⅹ Contemporary Approaches to Design and Analysis
• 77 Architecture and Mathematics : Soap Bubbles and Soap Films / Michele Emmer = 449
• 78 Aperiodic Tiling, Penrose Tiling and the Generation of Architectural Forms / Michael J. Ostwald = 459
• 79 Paving the Alexanderplatz Efficiently with a Quasi-Periodic Tiling / Ulrich Kortenkamp = 473
• 80 Generation of Architectural Forms Through Linear Algebra / Franca Caliò ; Elena Marchetti = 483
• 81 The Praxis of Roman Geometrical Ordering in the Design of a New American Prairie House / Donald J. Watts = 497
• 82 Exploring Architectural Form in Perspective : A Fractal Hypercube-Building / Tomás García-Salgado = 513
• 83 The Compass, the Ruler and the Computer : An Analysis of the Design of the Amphitheatre of Pompeii / Sylvie Duvernoy ; Paul L. Rosin = 525
• 84 Correlation of Laser-Scan Surveys of Irish Classical Architecture with Historic Documentation from Architectural Pattern Books / Maurice Murphy ; Sara Pavia ; Eugene McGovern = 541
• Part Ⅺ Theories and Applications of Computer Sciences
• 85 Mathematics and Architecture Since 1960 / Lionel March = 553
• 86 BiOrganic Design : A New Method for Architecture and the City / Alessandra Capanna = 579
• 87 Formal Mutations : Variation, Constraint, Selection / Andrzej Zarzycki = 593
• 88 The Role of Mathematics in the Design Process Under the Influence of Computational and Information Technologies / Arzu Gönenç Sorguç = 609
• 89 Generative Design Grammars : An Intelligent Approach Towards Dynamic and Autonomous Design / Ning Gu = 619
• 90 Ethics and Geometry : Computational Transformations and the Curved Surface in Architecture / Michael J. Ostwald = 633
• 91 Equiangular Numbers / Henry Crapo ; Claude Le Conte De Poly-Barbut = 649
• 92 Architecture as Verb and the Ethics of Making / Alberto Pérez-Gómez = 661
• Index for VolumeⅡ = 675
• Index for VolumeⅠ = 683