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"Architectural design Mathematics."
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Programming.Architecture
Programming.Architecture is a simple and concise introduction to the history of computing and computational design, explaining the basics of algorithmic thinking and the use of the computer as a tool for design and architecture.
Paul Coates, a pioneer of CAAD, demonstrates algorithmic thinking through projects and student work collated through his years of teaching students of computing and design. The book takes a detailed and practical look at what the techniques and philosophy of coding entail, and gives the reader many \"glimpses under the hood\" in the form of code snippets and examples of algorithms.
This is essential reading for student and professional architects and designers interested in how the development of computers has influenced the way we think about, and design for, the built environment.
Paul Coates is Senior Lecturer at the University of East London (UEL). He is also Programme leader of the MSc Architecture: Computing and design programme and Head of CECA (the Centre for Evolutionary Computing in Architecture), a research centre at the School of Architecture and the Visual Arts, UEL.
Introduction 1. Falling Between Two Stools 2. Rethinking Representation 3. In the Beginning was the Word 4. The Mystery of the Machine that Invents Itself 5. Evolving the Text - Being even Lazier 6. The Text of the Vernacular. Epilogue. Glossary
\" Programming Architecture is a good book. It makes an invaluable contribution to the field of generative design. I recommend this book to designers interested in the history of computing and computational design and to computer experts in genetic programming interested to explore a new field of application such as architectural design.\" – Benachir Medjdoub, Genetic Programming and Evolvable Machines
eBook
Programming. Architecture
Written by a pioneer of CAAD, this is essential reading for all those interested in the history of computing and computational design.
eBook
Mathematical excursions to the world’s great buildings
From the pyramids and the Parthenon to the Sydney Opera House and the Bilbao Guggenheim, this book takes readers on an eye-opening tour of the mathematics behind some of the world's most spectacular buildings. Beautifully illustrated, the book explores the milestones in elementary mathematics that enliven the understanding of these buildings and combines this with an in-depth look at their aesthetics, history, and structure. Whether using trigonometry and vectors to explain why Gothic arches are structurally superior to Roman arches, or showing how simple ruler and compass constructions can produce sophisticated architectural details, Alexander Hahn describes the points at which elementary mathematics and architecture intersect.
Beginning in prehistoric times, Hahn proceeds to guide readers through the Greek, Roman, Islamic, Romanesque, Gothic, Renaissance, and modern styles. He explores the unique features of the Pantheon, the Hagia Sophia, the Great Mosque of Cordoba, the Duomo in Florence, Palladio's villas, and Saint Peter's Basilica, as well as the U.S. Capitol Building. Hahn celebrates the forms and structures of architecture made possible by mathematical achievements from Greek geometry, the Hindu-Arabic number system, two- and three-dimensional coordinate geometry, and calculus. Along the way, Hahn introduces groundbreaking architects, including Brunelleschi, Alberti, da Vinci, Bramante, Michelangelo, della Porta, Wren, Gaudí, Saarinen, Utzon, and Gehry.
Rich in detail, this book takes readers on an expedition around the globe, providing a deeper understanding of the mathematical forces at play in the world's most elegant buildings.
eBook
Mathematical problem solving and learning in an architecture-themed epistemic game
This mixed methods study is aimed to examine the feasibility of integrating mathematical problem solving with architectural design via a 3D epistemic simulation game to promote active mathematics learning for middle-school students. The experimental-control pretest/posttest group design was adopted to examine whether the experience of interacting with an architecture simulation game would improve students' math knowledge for and performance of problem solving. Data were collected from 61 6th graders via both quantitative and qualitative methods, including math problem-solving and mental rotation tests, videoand screen-capture of game play behaviors, observation, as well as game logs. The study results indicated that the gaming group performed significantly better than the non-gaming control group in the math context problem solving test. The infield observation and participants' gaming behavior analysis suggested that the learning and practice of mathematical problem solving during gaming is a cognizant and planned endeavor framed by carefully designed game actions and objects.
Journal Article
3D thinking in design and architecture : from antiquity to the future
The geometric foundations, forms, and patterns in today?s architecture, design and, decorative arts can trace their origins in past cultures. From humankind?s first path-like doodles on cave walls through to the higher abstractions developed to make accurate measurements and predictions, the three-dimensional forms we design and build have always been dependent on available materials, human needs, and the limits of our imaginations.00'3D Thinking in Design and Architecture' tells the story of the intimate relationship between geometry, mathematics and man-made design throughout human history, from the Neolithic period through the Indian, Egyptian, Babylonian, Chinese, Greek, Celtic, Islamic and Renaissance cultures, to the present and the possible future. Presenting key principles that can be applied across all design disciplines, design expert Roger Burrows relates how geometry as a visual language has evolved to meet our needs, initiated new technologies, and changed the way we think about the world around us. With a wealth of original artwork by the author to explain his ideas, this book will be an essential reference and source of inspiration for students and design professionals.
Book
Considerations on Optimization as an Architectural Design Tool
Some architects use design processes that conceive each architecture as a model to be optimized with tools borrowed from various disciplines. Therefore, modelling in architecture may assume the role of an interpretative tool for complex phenomena, capable of guiding a design towards its best possible configuration. Today, we can work with discrete data with extreme efficiency. Consequently, we can also create models in architectural design with a new approach that aims to contain and generate large amounts of information. It is precisely by analyzing that information, with various tools of applied mathematics and through the strength of correlation, that modelling may interpret complex phenomena. In both approaches, the search for optimization may shape the purpose of modelling in architectural design. This contribution addresses the evolution and role of optimization in architectural design with an interdisciplinary approach.
Journal Article