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Mathematics of Space



Mathematics of Space

George Legendre (Guest Editor)

ISBN: 978-0-470-68980-6 August 2011 136 Pages

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A new title in the Architectural Design series that explores the potential of computational mathematics in cutting-edge design

Mathematics has always been a vital tool in the architect's trade, but the last fifteen years have seen a sharp rise in the power of computers and has led to computational abilities far beyond anything previously available. Modern design software and computing power have changed the traditional role of geometry in architecture and opened up new possibilities enabled by topology, non-Euclidean geometry, and other areas of mathematics.

With insight from a top-notch list of contributors, including such notables as Philippe Morel and Fabien Scheurer, Mathematics in Space discusses how the advent of computation and information technology has affected the work of contemporary architects.

  • This new title in the Architectural Design series updates architectural mathematics since the digital revolution
  • With world-class contributors, this is an essential resource for anyone interested in the ways computation has transformed the discipline
  • The book explores fascinating issues in modern design, most importantly the impact of mathematics on contemporary design creativity

For students and practitioners alike, Mathematics in Space covers vital topics in a constantly changing discipline.

5. Editorial
Helen Castle

6. About the Guest-Editor
George L. Legendre

8. Introduction
The Mathematics of Sensible Things
George L. Legendre

18. Mathematics and the Sensible World: Representing, Constructing, Simulating
Amy Dahan-Dalmedico

28. Architecture and Mathematics: Between Hubris and Restraint
Antoine Picon

36. Continuity and Rupture
Dennis R. Shelden and Andrew J. Witt

44. IJP Explained: Parametric Mathematics in Practice
George L. Legendre

54. A Sense of Purpose Mathematic s and Performance in Environmental Design
Martha Tsigkari, Adam Davis and Francis Aish, Specialist Modeling Group, Foster + Partners

58. Long Form and Algorithm
Daniel Bosia

66. Intuitive Material Distributions
Panagiotis Michalatos and Sawako Kaijima, Adams Kara Taylor (AKT)

70. Lost in Parameter Space?
Fabian Scheuren and Hanne Straling

80. Cetemetry Working Beyond Effect
Mark Burry

90. Desagues and Leibniz: In the Black Box – A Mathematical Model of the Leibnizian Monad
Bernard Cache

100. Pasta by Design
George L. Legendre

102. The Metabolism of the City: The Mathematics of Networks and Urban Surfaces
Michael Weinstock

108. Rising Masses, Singapore
Max Kahlen

112. The Hinging Tower
Ana María Flor Ortiz and Rodia Valladares Sánchez, Rising Masses Studio, Harvard Graduate School of Design

118. Implicit Fields – MOCAPE Shenzhen PRC
George L. Legendre and Max Kahlen

122. Sense and Sensibilia
Philippe Morel

130. Counterpoint
Less Answers More Questions
Will McLean