Chaos and complexity in the arts and architecture :: research in progress /
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...
Gespeichert in:
Weitere Verfasser: | , |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York :
Nova Science Publishers, Incorporated,
[2018]
|
Schriftenreihe: | Mathematics research developments series.
|
Schlagworte: | |
Online-Zugang: | DE-862 DE-863 |
Zusammenfassung: | 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. They 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. 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. The book goes on to cover, new Koch curves, new Sierpinski curve, Julia sets ,new Hilbert curves , Mandelbrot and Julia sets , Gingko leaf and 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. |
Beschreibung: | 1 online resource. |
Bibliographie: | Includes bibliographical references and index. |
ISBN: | 9781536129960 1536129968 |
Internformat
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520 | |a 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. They 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. 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. The book goes on to cover, new Koch curves, new Sierpinski curve, Julia sets ,new Hilbert curves , Mandelbrot and Julia sets , Gingko leaf and 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. | ||
650 | 0 | |a Geometry in art. |0 http://id.loc.gov/authorities/subjects/sh97001002 | |
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650 | 0 | |a Geometry in architecture. |0 http://id.loc.gov/authorities/subjects/sh00000156 | |
650 | 6 | |a Géométrie dans l'art. | |
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adam_text | |
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author2 | Cappellato, Gabriele Sala, Nicoletta |
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collection | ZDB-4-EBA |
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discipline | Kunstgeschichte |
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id | ZDB-4-EBA-on1027965688 |
illustrated | Not Illustrated |
indexdate | 2025-04-11T08:44:09Z |
institution | BVB |
isbn | 9781536129960 1536129968 |
language | English |
lccn | 2020685084 |
oclc_num | 1027965688 |
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series | Mathematics research developments series. |
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spelling | Chaos and complexity in the arts and architecture : research in progress / Nicoletta Sala and Gabriele Cappellato, editors. New York : Nova Science Publishers, Incorporated, [2018] 1 online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier Mathematics research developments Includes bibliographical references and index. Description based on print version record. 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. They 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. 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. The book goes on to cover, new Koch curves, new Sierpinski curve, Julia sets ,new Hilbert curves , Mandelbrot and Julia sets , Gingko leaf and 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. Geometry in art. http://id.loc.gov/authorities/subjects/sh97001002 Fractals in art. http://id.loc.gov/authorities/subjects/sh00009395 Geometry in architecture. http://id.loc.gov/authorities/subjects/sh00000156 Géométrie dans l'art. Fractales dans l'art. Géométrie en architecture. ART / Performance bisacsh ART / Reference bisacsh Fractals in art fast Geometry in architecture fast Geometry in art fast Cappellato, Gabriele, editor. Sala, Nicoletta, editor. has work: Chaos and complexity in the arts and architecture (Text) https://id.oclc.org/worldcat/entity/E39PCH7bhq6fpj4gcfHDhWvdkP https://id.oclc.org/worldcat/ontology/hasWork Print version: Chaos and complexity in the arts and architecture New York : Nova Science Publishers, Incorporated, [2018] 9781536129953 (DLC) 2017276475 Mathematics research developments series. http://id.loc.gov/authorities/names/no2009139785 |
spellingShingle | Chaos and complexity in the arts and architecture : research in progress / Mathematics research developments series. Geometry in art. http://id.loc.gov/authorities/subjects/sh97001002 Fractals in art. http://id.loc.gov/authorities/subjects/sh00009395 Geometry in architecture. http://id.loc.gov/authorities/subjects/sh00000156 Géométrie dans l'art. Fractales dans l'art. Géométrie en architecture. ART / Performance bisacsh ART / Reference bisacsh Fractals in art fast Geometry in architecture fast Geometry in art fast |
subject_GND | http://id.loc.gov/authorities/subjects/sh97001002 http://id.loc.gov/authorities/subjects/sh00009395 http://id.loc.gov/authorities/subjects/sh00000156 |
title | Chaos and complexity in the arts and architecture : research in progress / |
title_auth | Chaos and complexity in the arts and architecture : research in progress / |
title_exact_search | Chaos and complexity in the arts and architecture : research in progress / |
title_full | Chaos and complexity in the arts and architecture : research in progress / Nicoletta Sala and Gabriele Cappellato, editors. |
title_fullStr | Chaos and complexity in the arts and architecture : research in progress / Nicoletta Sala and Gabriele Cappellato, editors. |
title_full_unstemmed | Chaos and complexity in the arts and architecture : research in progress / Nicoletta Sala and Gabriele Cappellato, editors. |
title_short | Chaos and complexity in the arts and architecture : |
title_sort | chaos and complexity in the arts and architecture research in progress |
title_sub | research in progress / |
topic | Geometry in art. http://id.loc.gov/authorities/subjects/sh97001002 Fractals in art. http://id.loc.gov/authorities/subjects/sh00009395 Geometry in architecture. http://id.loc.gov/authorities/subjects/sh00000156 Géométrie dans l'art. Fractales dans l'art. Géométrie en architecture. ART / Performance bisacsh ART / Reference bisacsh Fractals in art fast Geometry in architecture fast Geometry in art fast |
topic_facet | Geometry in art. Fractals in art. Geometry in architecture. Géométrie dans l'art. Fractales dans l'art. Géométrie en architecture. ART / Performance ART / Reference Fractals in art Geometry in architecture Geometry in art |
work_keys_str_mv | AT cappellatogabriele chaosandcomplexityintheartsandarchitectureresearchinprogress AT salanicoletta chaosandcomplexityintheartsandarchitectureresearchinprogress |