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Art, Modern --- Fractals in art --- Art --- Fractales dans l'art
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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. 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. --- Fractals in art. --- Geometry in architecture.
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Fractals --- Fractals in art --- Geometry --- Fractales --- Fractales dans l'art --- Géométrie --- Géométrie --- Mathematics
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Depuis l'invention du daguerréotype (1839) jusqu'aux technosciences de l'intelligence artificielle, les pratiques photographiques n'ont cessé de se complexifier. La numérisation des images, mais aussi les croisements et les interactions de la photographie "argentique" (analogique) avec les traitements logiciels, sous-tendent un univers hybride d'images et d'expérimentations photographiques orientées par des conceptions fractalistes, analogues à celles qui déterminent la création numérique des figures fractales.
Photography --- Aesthetics --- Philosophy --- Technique --- Fractals in art --- Digital techniques. --- Photography - Philosophy --- Photography - Technique
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The Beauty of Fractals includes six essays related to fractals, with perspectives different enough to give you a taste of the breadth of the subject. Each essay is self-contained and expository. Moreover, each of the essays is intended to be accessible to a broad audience that includes college teachers, high school teachers, advanced undergraduate students, and others who wish to learn or teach about topics in fractals that are not regularly in textbooks on fractals.
Fractals. --- Fractals in art. --- Golden section. --- Divine proportion (Mathematics) --- Divine section (Mathematics) --- Extreme and mean ratio --- Golden cut --- Golden mean (Mathematics) --- Golden number (Ratio) --- Golden proportion --- Golden ratio --- Mean of Phidias --- Medial section --- Phi ratio --- Phidias, Mean of --- Geometry, Plane --- Ratio and proportion --- Fractal geometry --- Fractal sets --- Geometry, Fractal --- Sets, Fractal --- Sets of fractional dimension --- Dimension theory (Topology)
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