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Chaos und Komplexität in Kunst und Architektur: Forschung in Arbeit von Nicol-

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Chaos and Complexity in the Arts and Architecture: Research in Progress by Nicol
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Zuletzt aktualisiert am 23. Feb. 2024 04:46:01 MEZAlle Änderungen ansehenAlle Änderungen ansehen

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ISBN-13
9781536129953
Book Title
Chaos and Complexity in the Arts and Architecture
ISBN
9781536129953
Publication Year
2018
Type
Textbook
Format
Paperback
Language
English
Publication Name
Chaos and Complexity in the Arts and Architecture: Research in Progress
Item Height
229mm
Author
Nicoletta Sala, Gabriele Cappellato
Publisher
NOVA Science Publishers INC International Concepts
Item Width
152mm
Subject
Mathematics
Item Weight
512g
Number of Pages
167 Pages

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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.

Product Identifiers

Publisher
NOVA Science Publishers INC International Concepts
ISBN-13
9781536129953
eBay Product ID (ePID)
13046685220

Product Key Features

Author
Nicoletta Sala, Gabriele Cappellato
Publication Name
Chaos and Complexity in the Arts and Architecture: Research in Progress
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2018
Type
Textbook
Number of Pages
167 Pages

Dimensions

Item Height
229mm
Item Width
152mm
Item Weight
512g

Additional Product Features

Country/Region of Manufacture
United States
Editor
Nicoletta Sala, Gabriele Cappellato

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ABC Books Ltd
Unit 2D
Gatwick Gate Industrial Estate
Crawley, Lowfield Heath
London
RH11 0TG
United Kingdom
USt-IdNr.:
  • GB 324767388
Handelsregisternummer:
  • 05034144
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