Architecture and Mathematics from Antiquity to the Future

Edited by Kim Williams () and Michael J. Ostwald ()

in Springer Books from Springer

Date: 2015
Edition: 2015
ISBN: 978-3-319-00143-2
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Chapters in this book:

Ch Chapter 48 The Revolutionary, The Reactionary and The Revivalist: Architecture and Mathematics After 1500

Michael J. Ostwald and Kim Williams

Ch Chapter 49 Architecture, Mathematics and Theology in Raphael’s Paintings

David Speiser

Ch Chapter 50 Raphael and the Pantheon’s Interior: A Pivotal Moment in Architectural Representation

Kristina Luce

Ch Chapter 51 Design and Perspective Construction: Why Is the Chalice the Shape It Is?

Richard Talbot

Ch Chapter 52 Perspective in António Rodrigues’s Tratado de Arquitectura

João Pedro Xavier

Ch Chapter 53 Ottoman Architecture: Relationships between Architectural Design and Mathematics in Sinan’s Works

Zafer Sağdiç

Ch Chapter 54 The Mathematics of Palladio’s Villas

Stephen R. Wassell

Ch Chapter 55 Golden Proportions in a Great House: Palladio’s Villa Emo

Rachel Fletcher

Ch Chapter 56 The Hidden Pavement Designs of the Laurentian Library

Ben Nicholson, Jay Kappraff and Saori Hisano

Ch Chapter 57 Measuring up to Michelangelo: A Methodology

Paul A. Calter and Kim Williams

Ch Chapter 58 António Rodrigues, a Portuguese Architect with a Scientific Inclination

João Pedro Xavier

Ch Chapter 59 Villalpando’s Sacred Architecture in the Light of Isaac Newton’s Commentary

Tessa Morrison

Ch Chapter 60 Coelum Britannicum: Inigo Jones and Symbolic Geometry

Rumiko Handa

Ch Chapter 61 The Science Behind Francesco Borromini’s Divine Geometry

John G. Hatch

Ch Chapter 62 Transformational Geometry and the Central European Baroque Church

John Clagett

Ch Chapter 63 Are There Connections Between the Mathematical Thought and Architecture of Sir Christopher Wren?

Maria Zack

Ch Chapter 64 Robert Hooke’s Fire Monument: Architecture as a Scientific Instrument

Maria Zack

Ch Chapter 65 Practical and Theoretical Applications of Geometry at Claude Perrault’s Observatoire de Paris (1667–1672)

Randy S. Swanson

Ch Chapter 66 Geomantic (Re)Creation: Magic Squares and Claude Bragdon’s Theosophic Architecture

Eugenia Victoria Ellis

Ch Chapter 67 Mathematics and Music in the Art Glass Windows of Frank Lloyd Wright

Leonard K. Eaton

Ch Chapter 68 Fractal Geometry in the Late Work of Frank Lloyd Wright: The Palmer House

Leonard K. Eaton

Ch Chapter 69 Characteristic Visual Complexity: Fractal Dimensions in the Architecture of Frank Lloyd Wright and Le Corbusier

Michael J. Ostwald, Josephine Vaughan and Chris Tucker

Ch Chapter 70 From Cosmic City to Esoteric Cinema: Pythagorean Mathematics and Design in Australia

Graham Pont and Peter Proudfoot

Ch Chapter 71 The Ruled Geometries of Marcel Breuer

John Poros

Ch Chapter 72 Conoids and Hyperbolic Paraboloids in Le Corbusier’s Philips Pavilion

Alessandra Capanna

Ch Chapter 73 Oscar Niemeyer Curved Lines: Few Words Many Sentences

Benamy Turkienicz and Rosirene Mayer

Ch Chapter 74 Dom Hans van der Laan and the Plastic Number

Richard Padovan

Ch Chapter 75 Louis Kahn’s Platonic Approach to Number and Geometry

Steven Fleming

Ch Chapter 76 The Salk: A Geometrical Analysis Supported by Historical Evidence

Steven Fleming and Mark A. Reynolds

Ch Chapter 77 Architecture and Mathematics: Soap Bubbles and Soap Films

Michele Emmer

Ch Chapter 78 Aperiodic Tiling, Penrose Tiling and the Generation of Architectural Forms

Michael J. Ostwald

Ch Chapter 79 Paving the Alexanderplatz Efficiently with a Quasi-Periodic Tiling

Ulrich Kortenkamp

Ch Chapter 80 Generation of Architectural Forms Through Linear Algebra

Franca Caliò and Elena Marchetti

Ch Chapter 81 The Praxis of Roman Geometrical Ordering in the Design of a New American Prairie House

Donald J. Watts

Ch Chapter 82 Exploring Architectural Form in Perspective: A Fractal Hypercube-Building

Tomás García-Salgado

Ch Chapter 83 The Compass, the Ruler and the Computer: An Analysis of the Design of the Amphitheatre of Pompeii

Sylvie Duvernoy and Paul L. Rosin

Ch Chapter 84 Correlation of Laser-Scan Surveys of Irish Classical Architecture with Historic Documentation from Architectural Pattern Books

Maurice Murphy, Sara Pavia and Eugene McGovern

Ch Chapter 85 Mathematics and Architecture Since 1960

Lionel March

Ch Chapter 86 BiOrganic Design: A New Method for Architecture and the City

Alessandra Capanna

Ch Chapter 87 Formal Mutations: Variation, Constraint, Selection

Andrzej Zarzycki

Ch Chapter 88 The Role of Mathematics in the Design Process Under the Influence of Computational and Information Technologies

Arzu Gönenç Sorguç

Ch Chapter 89 Generative Design Grammars: An Intelligent Approach Towards Dynamic and Autonomous Design

Ning Gu

Ch Chapter 90 Ethics and Geometry: Computational Transformations and the Curved Surface in Architecture

Michael J. Ostwald

Ch Chapter 91 Equiangular Numbers

Henry Crapo and Claude Le Conte De Poly-Barbut

Ch Chapter 92 Architecture as Verb and the Ethics of Making

Alberto Pérez-Gómez

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DOI: 10.1007/978-3-319-00143-2

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