Fractal Geometry in Architecture and Design

Author: Carl Bovill

Publisher: Springer Science & Business Media

ISBN: 1461208432

Category: Mathematics

Page: 195

View: 6755

na broad sense Design Science is the grammar of a language of images Irather than of words. Modern communication techniques enable us to transmit and reconstitute images without needing to know a specific verbal sequence language such as the Morse code or Hungarian. International traffic signs use international image symbols which are not specific to any particular verbal language. An image language differs from a verbal one in that the latter uses a linear string of symbols, whereas the former is multi dimensional. Architectural renderings commonly show projections onto three mutual ly perpendicular planes, or consist of cross sections at different altitudes capa ble of being stacked and representing different floor plans. Such renderings make it difficult to imagine buildings comprising ramps and other features which disguise the separation between floors, and consequently limit the cre ative process of the architect. Analogously, we tend to analyze natural struc tures as if nature had used similar stacked renderings, rather than, for instance, a system of packed spheres, with the result that we fail to perceive the system of organization determining the form of such structures. Perception is a complex process. Our senses record; they are analogous to audio or video devices. We cannot, however, claim that such devices perceive.

Sci-tech News

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Scientific libraries

Page: N.A

View: 1434

ARQUITECTURA ARTIFICIAL

MANIERISMO POR COMPUTADORA

Author: F. Javier Fernández Herrero

Publisher: F. Javier Fernández Herrero

ISBN: 1847282687

Category: Technology & Engineering

Page: 268

View: 7298

Reedición de este manual de técnicas para diseño y construcción de edificios o entornos urbanos, y para la gestión integrada de dichos procesos. El autor describe innovadores mecanismos para reconocer y generar automáticamente conceptos arquitectónicos abstractos, que posibilitarán el desarrollo de interfaces semi-inteligentes usuario/a-computadora. Con dichos algoritmos se obtienen series fantásticas de simulacros recursivos y variaciones, conformando organizaciones fluidas y no monótonas de componentes adaptables. El resultado de toda esta experimentación se recoge también en una película del mismo autor y título (publicada en DVD por separado). Tanto la película como la multitud de collages que ilustran el libro, elaborados mediante artificiosas técnicas de montaje, constituyen un sugerente conjunto de bucles enmarañados, artefactos cognoscitivos, razonamientos defectuosos, trucajes, desplazamientos semánticos, coherencias contradictorias, manierismos, etc.

Symmetry Orbits

Author: Hugo F. Verheyen

Publisher: Springer Science & Business Media

ISBN: 1461240743

Category: Mathematics

Page: 236

View: 7909

In a broad sense design science is the grammar of a language of images rather than of words. Modem communication techniques enable us to transmit and reconstitute images without needing to know a specific verbal sequence language such as the Morse code or Hungarian. Inter national traffic signs use international image symbols which are not An image language differs specific to any particular verbal language. from a verbal one in that the latter uses a linear string of symbols, whereas the former is multidimensional. Architectural renderings commonly show projections onto three mutually perpendicular planes, or consist of cross sections at different altitudes capable of being stacked and representing different floor plans. Such renderings make it difficult to imagine buildings compris ing ramps and other features which disguise the separation between and consequently limit the creative process of the architect. floors, Analogously, we tend to analyze natural structures as if nature had used similar stacked renderings, rather than, for instance, a system of packed spheres, with the result that we fail to perceive the system of organization determining the form of such structures.

Ekonomia i Środowisko

Czasopismo Stowarzyszenia Ekonomistów Środowiska i Zasobów Naturalnych

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Environmental policy

Page: N.A

View: 4254

Fractals Everywhere

Author: Michael F. Barnsley

Publisher: Academic Press

ISBN: 148325769X

Category: Mathematics

Page: 548

View: 5525

Fractals Everywhere, Second Edition covers the fundamental approach to fractal geometry through iterated function systems. This 10-chapter text is based on a course called "Fractal Geometry", which has been taught in the School of Mathematics at the Georgia Institute of Technology. After a brief introduction to the subject, this book goes on dealing with the concepts and principles of spaces, contraction mappings, fractal construction, and the chaotic dynamics on fractals. Other chapters discuss fractal dimension and interpolation, the Julia sets, parameter spaces, and the Mandelbrot sets. The remaining chapters examine the measures on fractals and the practical application of recurrent iterated function systems. This book will prove useful to both undergraduate and graduate students from many disciplines, including mathematics, biology, chemistry, physics, psychology, mechanical, electrical, and aerospace engineering, computer science, and geophysical science.

Complexity Science, Living Systems, and Reflexing Interfaces: New Models and Perspectives

New Models and Perspectives

Author: Orsucci, Franco

Publisher: IGI Global

ISBN: 1466620781

Category: Computers

Page: 466

View: 6501

There are new and important advancements in today’s complexity theories in ICT and requires an extraordinary perspective on the interaction between living systems and information technologies. With human evolution and its continuous link with the development of new tools and environmental changes, technological advancements are paving the way for new evolutionary steps. Complexity Science, Living Systems, and Reflexing Interfaces: New Models and Perspectives is a collection of research provided by academics and scholars aiming to introduce important advancements in areas such as artificial intelligence, evolutionary computation, neural networks, and much more. This scholarly piece will provide contributions that will define the line of development in complexity science.

Chaos and Complexity in the Arts and Architecture

Research in Progress

Author: Gabriele Cappellato,Nicoletta Sala

Publisher: N.A

ISBN: 9781536129953

Category: Fractals in art

Page: 167

View: 3096

In this compilation, the authors begin with a description of fractal geometry, its property of self-similarity, and how its processes of bifurcation can appear in the arts and architecture. These fractal features are common in different cultures and in different architectural styles. Next, the role of algebraic curves in painting, sculpture, and architecture is discussed. These shapes acted as sources of inspiration for artistic themes in many of the geometrical forms of Modern Art. Today, these beautiful shapes can be easily constructed by computers. The authors discuss an art world devoted to the entanglement phenomenon through modifying the perception of space, approaching new horizons educational fields. An investigation of the function and characteristics of fog in various paintings by famous artists of different art movements (in which the presence of fog significantly affects the visual experience) is provided. Following this, the authors describe where fractality appears in architecture and in urban organization, opening new opportunities in virtual architecture and hyperarchitecture. An additional paper presents a study on complexity in architecture. Complexity is the property of a real world system that is manifested in the inability of any one formalism being adequate to capture all of its properties. Continuing, the authors present a study shows that germs of fractals exist in old Indian literature, e.g., fractal architecture in Indian temples and fractal weapons, with the goal of collecting a few examples from old Indian history and presenting their fractal aspects. A paper is presented including some examples of industrial design objects analysed using complexity and fractal geometry. Complex and fractal components appeared in the industrial design after the development of materials, for example, the introduction of float glass. Afterwards, this book aims to show how and where the concept of time can be applied in architecture, maintaining that time is a parameter which architects seldom consider in their projects. The authors go on to illustrate some properties using Markov matrices, open symbolic dynamic nets, and fields on Julia sets, finding find both symmetrical and spiral patterns on local regions of Julia sets, and discontinuous series in the dynamics of some region that are recordable in the neurophysiology of intermittent consciousness. Synchronization can also be called self-similarity, in induced noncommutative geometry. In the next paper, new Koch curves are generated by dividing the initiator into unequal parts. With the increase in size of the set of Koch curves also comes a need for classification. Superior iterations in the study of Julia sets for rational maps are introduced, showing how new Sierpinski curve Julia sets are effectively different from those obtained by other means. Production rules to draw the new Hilbert curves are discussed, as well as production rules to draw the conventional Hilbert Curve. Later, a paper on Mandelbrot and Julia sets rendered in 3 dimensions is presented. In this paper, new Julia sets have been generated for zn+c, n 4 in superior orbit, and modelled in 3 dimensions. The authors examine the Gingko leaf, commonly referred to as a living fossil, that has been declared as tree of the millennium. This chapter aims to show that there are many ways to generate Gingko leaf. In conclusion, techniques to generate Sierpinski Gasket and Sierpinski Carpet as 3- variable and as 4-variable fractals respectively using superior iterates for contractive operators are described.

Reflexing Interfaces: The Complex Coevolution of Information Technology Ecosystems

The Complex Coevolution of Information Technology Ecosystems

Author: Orsucci, Franco F.

Publisher: IGI Global

ISBN: 9781599046297

Category: Science

Page: 432

View: 9157

"This book discusses the application of complex theories in information and communication technology, with a focus on the interaction between living systems and information technologies, providing researchers, scholars, and IT professionals with a fundamental resource on such topics as virtual reality; fuzzy logic systems; and complexity science in artificial intelligence, evolutionary computation, neural networks, and 3-D modeling"--Provided by publisher.

Shaping space

a polyhedral approach

Author: Marjorie Senechal,George M. Fleck

Publisher: Birkhauser

ISBN: N.A

Category: Art

Page: 284

View: 5023

Architecture and Mathematics from Antiquity to the Future

Volume II: The 1500s to the Future

Author: Kim Williams,Michael J. Ostwald

Publisher: Birkhäuser

ISBN: 3319001434

Category: Mathematics

Page: 690

View: 9329

Every age and every culture has relied on the incorporation of mathematics in their works of architecture to imbue the built environment with meaning and order. Mathematics is also central to the production of architecture, to its methods of measurement, fabrication and analysis. This two-volume edited collection presents a detailed portrait of the ways in which two seemingly different disciplines are interconnected. Over almost 100 chapters it illustrates and examines the relationship between architecture and mathematics. Contributors of these chapters come from a wide range of disciplines and backgrounds: architects, mathematicians, historians, theoreticians, scientists and educators. Through this work, architecture may be seen and understood in a new light, by professionals as well as non-professionals. Volume II covers architecture from the Late Renaissance era, through Baroque, Ottoman, Enlightenment, Modern and contemporary styles and approaches. Key figures covered in this volume include Palladio, Michelangelo, Borromini, Sinan, Wren, Wright, Le Corbusier, Breuer, Niemeyer and Kahn. Mathematical themes which are considered include linear algebra, tiling and fractals and the geographic span of the volume’s content includes works in the United States of America and Australia, in addition to those in Europe and Asia.

Computers in Art, Design and Animation

Author: John Lansdown,Rae Earnshaw

Publisher: Springer Science & Business Media

ISBN: 9780387968964

Category: Art

Page: 306

View: 2298

The collection of papers that makes up this book arises largely from the joint activities of two specialist groups of the British Computer Society, namely the Displays Group and the Computer Arts Society. Both these groups are now more than 20 years old and during the whole of this time have held regular, separate meetings. In recent years, however, the two groups have held a joint annual meeting at which presentations of mutual interest have been given and it is mainly from the last two of these that the present papers have been drawn. They fall naturally into four classes: visualisation, art, design and animation-although, as in all such cases, the boundaries between the classes are fuzzy and overlap inevitably occurs. Visualisation The graphic potential of computers has been recognised almost since computing was first used, but it is only comparatively recently that their possibilities as devices for the visualisation of complex. and largely ab stract phenomena has begun to be more fully appreciated. Some workers stress the need to be able to model photographic reality in order to assist in this task. They look to better algorithms and more resolution to achieve this end. Others-Alan Mackay for instance-suggest that it is "not just a matter of providing more and more pixels. It is a matter of providing congenial clues which employ to the greatest extent what we already know.

Bollinger + Grohmann

Author: Christian Schittich,Peter Cachola Schmal

Publisher: Walter de Gruyter

ISBN: 3955531171

Category: Architecture

Page: 144

View: 2722

Vom Wettbewerb über den Entwurf bis zur Planung: Architekten und Ingenieure von Anfang an als Team

CELA 2002

Groundwork ; Conference Program and Abstracts ; Council of Educators in Landscape Architecture ; Sept. 25-28, 2002, SUNY College of Environmental Science and Forestry

Author: Council of Educators in Landscape Architecture. Meeting

Publisher: N.A

ISBN: N.A

Category: Landscape architecture

Page: 128

View: 4410

Visualize This!

Author: Nathan Yau

Publisher: John Wiley & Sons

ISBN: 3527760229

Category: Statistics / Graphic methods / Data processing

Page: 422

View: 9219

A guide on how to visualise and tell stories with data, providing practical design tips complemented with step-by-step tutorials.

Nexus Network Journal 10,2

Architecture and Mathematics

Author: Kim Williams

Publisher: Springer Science & Business Media

ISBN: 3764387661

Category: Architecture

Page: 169

View: 448

This volume features a collection of papers dedicated to "Canons of Form-Making", in honor of the 500th anniversary of the birth of architect Andrea Palladio (1508-1580). Theorist as well as practitioner, Palladio's architecture was based on well-defined canons that he had gleaned from studying the treatises as well as the remains of architecture from antiquity. Palladio himself left to posterity not only his large corpus of built works, but his Quattro libri d'architettura. Three of the papers in this issue are specifically about Palladio and his work. The other papers deal with canons of form-making, ancient and contemporary.