Relevant bibliographies by topics / Fractals in art

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Fractals in art'

Author: Grafiati
Published: 4 June 2021
Last updated: 30 July 2024

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Journal articles on the topic "Fractals in art"

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Beigie, Darin. "Computer-Generated Fractal Art." Mathematics Teaching in the Middle School 10, no. 6 (2005): 262–69. http://dx.doi.org/10.5951/mtms.10.6.0262.

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Computer Software Can be a Powerful tool in both the study and creation of fractals. The Snowflake Fractal Generator (Shodor Education Foundation, www.shodor.org) is an appealing example of software that allows students to make fractals similar to the classic Koch snowflake (see fig. 1).
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Taylor, R. P. "Reduction of Physiological Stress Using Fractal Art and Architecture." Leonardo 39, no. 3 (2006): 245–51. http://dx.doi.org/10.1162/leon.2006.39.3.245.

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The author reviews visual perception studies showing that fractal patterns possess an aesthetic quality based on their visual complexity. Specifically, people display an aesthetic preference for patterns with mid-range fractal dimensions, irrespective of the method used to generate them. The author builds upon these studies by presenting preliminary research indicating that mid-range fractals also affect the observer's physiological condition. The potential for incorporating these fractals into art and architecture as a novel approach to reducing stress is also discussed.
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Emmer, C. E. "Kantian Beauty, Fractals, and Universal Community." Dialogue and Universalism 29, no. 2 (2019): 65–80. http://dx.doi.org/10.5840/du201929222.

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Benoit B. Mandelbrot, when discussing the global appeal of fractal patterns and designs, draws upon examples from across numerous world cultures. What may be missed in Mandelbrot's presentation is Immanuel Kant’s precedence in recognizing this sort of widespread beauty in art and nature, fractals avant la lettre. More importantly, the idea of the fractal may itself assist the aesthetic attitude which Kantian beauty requires. In addition, from a Kantian perspective, fractal patterns may offer a source for a sense of community with humanity. I close with an excursus on the more sombre note of Ka
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Saputro, Dewi Retno Sari, Yekti Widyaningsih, and Antoni Wibowo. "JAVANESE BATIK MOTIFS AND ORNAMENTATION AS OBJECTS OF AESTHETICS AND GENERATIVE ART WITH PSEUDO-ALGORITHM." Jurnal Javanologi 6, no. 1 (2023): 1139. http://dx.doi.org/10.20961/javanologi.v6i1.71586.

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<p>The batik patterns that are known to be fractal are the reality that there are alternative perspectives that exist among Indonesian society and civilization which are unique relative to the general modern perspective. This uniqueness is important considering that fractals are a form of understanding geometry and system complexity. Pseudo-algorithm in batik is an ornamentation process: klowongan-isenharmonization which starts from the smallest fractional elements of batik motifs (fractals), has selfsimilarity and is carried out through iterative computational methods. Batik as a patter
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Dierking, I. "Liquid crystals, fractals and art." Liquid Crystals Today 21, no. 3 (2012): 54–65. http://dx.doi.org/10.1080/1358314x.2012.720515.

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Zhou, Hao, Muhammad Tanveer, and Jingjng Li. "Comparative Study of Some Fixed-Point Methods in the Generation of Julia and Mandelbrot Sets." Journal of Mathematics 2020 (July 20, 2020): 1–15. http://dx.doi.org/10.1155/2020/7020921.

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Fractal is a geometrical shape with property that each point of the shape represents the whole. Having this property, fractals procured the attention in computer graphics, engineering, biology, mathematics, physics, art, and design. The fractals generated on highest priorities are the Julia and Mandelbrot sets. So, in this paper, we develop some necessary conditions for the convergence of sequences established for the orbits of M, M∗, and K-iterative methods to generate these fractals. We adjust algorithms according to the develop conditions and draw some attractive Julia and Mandelbrot sets w
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Garousi, Mehrdad. "The Postmodern Beauty of Fractals." Leonardo 45, no. 1 (2012): 26–32. http://dx.doi.org/10.1162/leon_a_00322.

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Fractal art, one of the significant conjunctions of art, modern mathematics and computer technology, has been the author's primary art medium for the past five years. After presenting an introduction to the general properties of fractal art, the author explains certain visual aspects and processes of creating such art using examples from his own work.
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Taylor, Richard. "Personal reflections on Jackson Pollock's fractal paintings." História, Ciências, Saúde-Manguinhos 13, suppl (2006): 109–23. http://dx.doi.org/10.1590/s0104-59702006000500007.

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The art world changed forever when Jackson Pollock picked up a can and poured paint onto a vast canvas rolled across the floor of his windswept barn. Fifty years on, art theorists recognize his patterns as being a revolutionary approach to aesthetics. A significant step forward in understanding Pollock's aesthetics occurred in 1999 when my scientific analysis showed that his paintings are fractal. Fractals consist of patterns that recur at finer and finer magnifications, building up shapes of immense complexity. Significantly, many natural patterns (for example, lightning, clouds, mountains, a
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Sergeeva, Larisa. "THE USE OF FRACTAL GEOMETRY ELEMENTS AS A MEANS OF AESTHETIC EDUCATION OF PRIMARY SCHOOL STUDENTS." SOCIETY. INTEGRATION. EDUCATION. Proceedings of the International Scientific Conference 3 (May 20, 2020): 562. http://dx.doi.org/10.17770/sie2020vol3.4934.

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Currently, the issue of aesthetic education is becoming one of the key issues in the field of education. The relevance of the article is due to the fact that mathematics has great aesthetic potential, which is not always revealed in the process of teaching mathematics in elementary school. An important role in revealing the beauty of mathematical content in elementary school is played by the familiarity of schoolchildren with a young rapidly developing mathematical field - fractal geometry. In order to prove the effectiveness of using fractal geometry elements for the formation of aesthetic re
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Tzanaki, Eleni, Nikos Bessas, Dionisios Vavougios, and Vassilis P. Plagianakos. "An Interdisciplinary Educational Proposal in Junior High School: The Fractal Geometry in Science, Computer Science and Art Lessons." International Journal of Emerging Technologies in Learning (iJET) 19, no. 03 (2024): 35–45. http://dx.doi.org/10.3991/ijet.v19i03.47343.

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The purpose of this study is to provide an interdisciplinary approach to fractals within the traditional school curriculum. The proposed activities are expected to help teachers to provide a comprehensive and engaging learning experience for students that fosters deeper understanding, creativity, and connections within the sciences. Fractals are complex geometric shapes that are self-similar, and therefore exhibit similar patterns at every scale. They are created by repeating a simple process over and over. Fractals differ from traditional geometric shapes because they are non-regular, but are
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Dissertations / Theses on the topic "Fractals in art"

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Karaca, Igor. "Random precision some applications of fractals and cellular automata in music composition /." Connect to this title online, 2005. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1115254473.

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Thesis (D. M. A.)--Ohio State University, 2005.<br>Title from first page of PDF file. Document formatted into pages; contains vii, 133 p.; also includes graphics (some col.). Includes bibliographical references (p. 47-48). Available online via OhioLINK's ETD Center.
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Knapp, Kathryn. "At the Intersection of Math and Art: An Exploration of the Fourth Dimension, Non-Euclidean Geometry, and Chaos." Scholarship @ Claremont, 2016. http://scholarship.claremont.edu/scripps_theses/893.

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This thesis examines the intersection of math and art by focusing on three specific branches of math: the fourth dimension, non-Euclidean geometry, and chaos and fractals. Different genres of art interact with each of these branches of math. The influence of the fourth dimension can easily be seen in Cubism and Russian Constructivism. Non-Euclidean geometry guided some of M.C. Escher’s work, and it inspired the Crochet Coral Reef project. Chaos and fractals can be found in art and architecture throughout history, but Vincent van Gogh and Jackson Pollock are notable examples of artists who used
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Wang, JingLing. "Topics in Fractal Geometry." Thesis, University of North Texas, 1994. https://digital.library.unt.edu/ark:/67531/metadc279332/.

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Carneiro, Josà Carlos de Souza. "Study of metal transfer process in MIG / MAG through the fractal dimension of the signal voltage." Universidade Federal do CearÃ, 2005. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=15742.

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The techniques for estimating the fractal dimension of signals have been widely applied in the description of many physical systems, from studies of atmospheric turbulence, EEG signals, water systems to studies on the behavior of fractal surfaces fractured by impact. The analysis of the fractal dimension of complex phenomena has become an important tool to quantify the degree of irregularity of artificial or natural phenomena. In this paper we investigate the fractal dimension of the signal voltage of the arc processode MIG / MAG welding. The estimation technique used for calculating the fract
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Tarikci, Abdurrahman. "Analysis Of Turkish Art Music Songs Via Fractal Dimension." Phd thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12611567/index.pdf.

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Forty songs are randomly selected from four randomly selected maqams. Songs are restricted to be in sofyan us&uuml<br>l (sofyan rhythmic form) to check the statistical significance. Next, fractal dimensions of the these songs are calculated by using two different method and two different scattering diagrams. In the first method, fractal dimensions are calculated via two different box sizes. As for second method, successively decreased box sizes are used. In addition, standard deviation and mean values of the fractal dimensions are calculated to check the relation between fractal dimension and
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Margerison, Paul. "An algorithmic and interactive approach to computer art." Thesis, Open University, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.240001.

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Romero, Vargas Marilyn. "Cambios en la estructura del paisaje del Alt Empordà en el período 1957-2001." Doctoral thesis, Universitat de Girona, 2005. http://hdl.handle.net/10803/7898.

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El paisaje, concebido como una unidad espacial y temporalmente pluriescalar caracterizada por unos patrones de distribución - una estructura-, unas funciones y una red de flujos de materia, energía e información (Forman y Godron, 1986), constituye un modelo apropiado para estudiar el territorio (Marull, 2002). <br/>En la presente investigación se hace un análisis de los cambios ocurridos en la estructura del mosaico paisajístico de la comarca de l´Alt Empordà entre 1957 y 2001, para ellos se divide la comarca en unidades paisajísticas basadas en criterios fisiográficos determinados a escala
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Gehres, Adriana de Faria. "Corpo-dança-educação na contemporaneidade ou da construção de corpos fractais." Phd thesis, Instituições portuguesas -- UTL-Universidade Técnica de Lisboa -- -Faculdade de Motricidade Humana, 2001. http://dited.bn.pt:80/29408.

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Beurey, Françoise. "Opacité et infini : l'oeuvre et le temps." Paris 1, 2007. http://www.theses.fr/2007PA010579.

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Reposant sur des travaux d'artistes, sur les réflexions de philosophes, de critiques d'art, de créateurs, et sur la pratique artistique de l'auteur, dans un parti pris plus dynamique que statique, cette thèse étudie le rapport du temps à l'œuvre d'art, dans le mouvement de sa création. Sont approfondis: d'une part l'opacité et le cheminement, qui priment sur l'objectif, dans un« faire» qui transforme le« faire» et qui prend en compte le présent du geste créateur, en s'opposant à l'antériorité du « modèle », à la transparence et à la passivité de la mimesis; d'autre part la multiplicité et l'in
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Holschneider, Matthias. "L'Analyse d'objets fractals et leur transformation en ondelettes." Grenoble 2 : ANRT, 1988. http://catalogue.bnf.fr/ark:/12148/cb376143607.

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Books on the topic "Fractals in art"

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A, Pickover Clifford, ed. The pattern book: Fractals, art, and nature. World Scientific, 1995.

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America, Mathematical Association of, ed. The beauty of fractals: Six different views. Mathematical Association of America, 2010.

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(Firm), Lifesmith Classic Fractals, ed. Fractal cosmos: The art of mathematical design. Amber Lotus, 1994.

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Frantz, Marc. Viewpoints: Mathematical perspective and fractal geometry in art. Princeton University Press, 2011.

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A, Villata, and Galéria Kolomana Sokola, host institution, eds. Fernando Garbellotto: Fractal net thinking. Verso l'arte edizioni, 2022.

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Patricia, Rizzo, Escot Laura 1973-, and García Guillermo R, eds. Universos hipotéticos. Proyecto A, 2009.

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editor, Villata Anselmo, ed. Fernando Garbellotto: Sistemi. Verso l'arte edizioni, 2022.

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Anselmo, Villata, Oesum Led Icima (Association), and Museo arte contemporanea Acri, eds. Fernando Garbellotto: Reti frattali. Oesum Led Icima, 2021.

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editor, Villata Anselmo, and Fondazione Cesare Pavese, eds. Fernando Garbellotto: Spazi d'esperienza. Verso l'arte edizioni, 2020.

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editor, Cerritelli Claudio, and Opera Bevilacqua La Masa (Venice, Italy). Galleria, eds. Fernando Garbellotto: Reti frattali, sistemi in relazione. Verso l'arte edizioni, 2022.

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Book chapters on the topic "Fractals in art"

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Franke, Herbert W. "Refractions of Science into Art." In The Beauty of Fractals. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-642-61717-1_15.

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Kalajdzievski, Sasho. "Similarities, Fractals, and Cellular Automata." In Math and Art, 2nd ed. Chapman and Hall/CRC, 2021. http://dx.doi.org/10.1201/9780429021602-3.

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"Computer Art." In Chaos and Fractals. Elsevier, 1998. http://dx.doi.org/10.1016/b978-044450002-1/50064-3.

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Kocic, Ljubiša M. "Possibility of Fractal Aesthetics." In Complexity Science, Living Systems, and Reflexing Interfaces. IGI Global, 2013. http://dx.doi.org/10.4018/978-1-4666-2077-3.ch012.

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Fast development of computer networking contributes to the global spreading and popularizing of the notion of fractals and complex patterns in their use in computer-aided design and computer art. This chapter looks for answers to the following questions: How are fractals perceived? Are fractals predominantly man-made or natural objects? How do fractals relate to the overall visual art experience of mankind? What are the main problems in using fractals in arts? What are the experiences from the visual art-history? Do Nature and artists use the same algorithm? What fractal experts can do to help artists?
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Walter, David. "Systemised serendipity for producing computer art." In Chaos and Fractals. Elsevier, 1998. http://dx.doi.org/10.1016/b978-044450002-1/50071-0.

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"Similarities, Fractals, and Cellular Automata." In Math and Art. Chapman and Hall/CRC, 2011. http://dx.doi.org/10.1201/9781584889144-6.

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Walter, David. "Computer art from Newton's, Ssecant, and Richardson's methods." In Chaos and Fractals. Elsevier, 1998. http://dx.doi.org/10.1016/b978-044450002-1/50072-2.

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"Algorithmic Art, Art and Mathematics, and Fractals." In Information Arts. The MIT Press, 2001. http://dx.doi.org/10.7551/mitpress/3765.003.0023.

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Hettich, Peter. "Ambiguous Art." In The Pattern Book: Fractals, Art, and Nature. WORLD SCIENTIFIC, 1995. http://dx.doi.org/10.1142/9789812832061_0152.

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Entwistle, Ian D. "Julia set ART and dractals in the complex plane." In Chaos and Fractals. Elsevier, 1998. http://dx.doi.org/10.1016/b978-044450002-1/50066-7.

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Conference papers on the topic "Fractals in art"

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"[Cover art]." In 2009 International Workshop on Chaos-Fractals Theories and Applications (IWCFTA 2009). IEEE, 2009. http://dx.doi.org/10.1109/iwcfta.2009.102.

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"[Cover art]." In 2010 International Workshop on Chaos-Fractals Theories and Applications (IWCFTA 2010). IEEE, 2010. http://dx.doi.org/10.1109/iwcfta.2010.113.

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"Cover Art." In 2011 Fourth International Workshop on Chaos-Fractals Theories and Applications (IWCFTA). IEEE, 2011. http://dx.doi.org/10.1109/iwcfta.2011.99.

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"[Cover art]." In 2012 5th International Workshop on Chaos-Fractals Theories and Applications (IWCFTA). IEEE, 2012. http://dx.doi.org/10.1109/iwcfta.2012.83.

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Kolesnikov, Andrey Vitalievich. "Nonlinear images as art objects." In 6th International Conference “Futurity designing. Digital reality problems”. Keldysh Institute of Applied Mathematics, 2023. http://dx.doi.org/10.20948/future-2023-15.

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Thanks to a powerful calculating tool - a computer, as well as the development of mathematical modeling methods, synergetics for the first time in the history of science began to describe and reproduce the processes of self-organization and development. On this path, magnificent, previously unseen images began to appear - strange attractors, fractals, cellular automata, which to a large extent contributed to the popularity of synergetics in the scientific and philosophical community. The article is devoted to images that arise in models, experiments and computational experiments developed and
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Mandelbrot, B. B. "Fractals and an art for the sake of science." In SIGGRAPH 89 Art show catalog - Computer art in context. ACM Press, 1989. http://dx.doi.org/10.1145/73877.73881.

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Charalampidis, Dimitrios, Takis Kasparis, and Michael Georgiopoulos. "Texture classification using ART-based neural networks and fractals." In Aerospace/Defense Sensing and Controls, edited by Ivan Kadar. SPIE, 1998. http://dx.doi.org/10.1117/12.327099.

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Sakata, Tomofumi, Keiichi Watanuki, and Kozawa Motohiro. "Influence of History of Art Learning on Understanding of Beauty and Ugliness in Painting." In 14th International Conference on Applied Human Factors and Ergonomics (AHFE 2023). AHFE International, 2023. http://dx.doi.org/10.54941/ahfe1003240.

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Japanese elementary school teachers can teach art classes to elementary school students without receiving any art education. For this reason, there are no common evaluation criteria for art classes, and teachers create their own evaluation criteria and assign grades. The teachers' own evaluation criteria often include their own interests, suggesting that the students may not be receiving a fair evaluation. It is possible that elementary school students dislike art classes due to unfair evaluation. A dislike of art from an early age can lead to a lack of imagination and creativity. In addition,
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Long, Xiaotian, Wen Li, and Weiyan Luo. "Design and Application of Fractal Pattern Art in the Fashion Design." In 2009 International Workshop on Chaos-Fractals Theories and Applications (IWCFTA). IEEE, 2009. http://dx.doi.org/10.1109/iwcfta.2009.88.

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Campanella, Renzo, and Flavia Dragoni. "ART AND SCIENCE PARALLEL PATHS IN THE DEVELOPMENT OF THE HUMAN THOUGHT. IS ART AN ANTICIPATION OF THE SCIENTIFIC DISCOVERIES?" In 10th SWS International Scientific Conferences on ART and HUMANITIES - ISCAH 2023. SGEM WORLD SCIENCE, 2023. http://dx.doi.org/10.35603/sws.iscah.2023/vs07.08.

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Both in art and in science one can identify paths of development that lead in the same direction. This parallel development can be proposed on the basis of a comparison between the evolution of painting and the development of the theories of physics, recognizing, for example, a conceptual parallelism between the birth of perspective and the Galilean scientific method, as well as between impressionism and quantum mechanics. Another case in which it is evident that art and science move in the same direction is the drastic change in the perception of space-time operated simultaneously with the re
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Reports on the topic "Fractals in art"

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Соловйов, Володимир Миколайович, V. Saptsin, and D. Chabanenko. Markov chains applications to the financial-economic time series predictions. Transport and Telecommunication Institute, 2011. http://dx.doi.org/10.31812/0564/1189.

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In this research the technology of complex Markov chains is applied to predict financial time series. The main distinction of complex or high-order Markov Chains and simple first-order ones is the existing of after-effect or memory. The technology proposes prediction with the hierarchy of time discretization intervals and splicing procedure for the prediction results at the different frequency levels to the single prediction output time series. The hierarchy of time discretizations gives a possibility to use fractal properties of the given time series to make prediction on the different freque
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Bielinskyi, Andriy, Serhiy Semerikov, Oleksandr Serdiuk, Victoria Solovieva, Vladimir Soloviev, and Lukáš Pichl. Econophysics of sustainability indices. [б. в.], 2020. http://dx.doi.org/10.31812/123456789/4118.

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In this paper, the possibility of using some econophysical methods for quantitative assessment of complexity measures: entropy (Shannon, Approximate and Permutation entropies), fractal (Multifractal detrended fluctuation analysis – MF-DFA), and quantum (Heisenberg uncertainty principle) is investigated. Comparing the capability of both entropies, it is obtained that both measures are presented to be computationally efficient, robust, and useful. Each of them detects patterns that are general for crisis states. The similar results are for other measures. MF-DFA approach gives evidence that Dow
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Bielinskyi, Andrii O., Serhii V. Hushko, Andriy V. Matviychuk, et al. Irreversibility of financial time series: a case of crisis. Криворізький державний педагогічний університет, 2021. http://dx.doi.org/10.31812/123456789/6975.

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The focus of this study to measure the varying irreversibility of stock markets. A fundamental idea of this study is that financial systems are complex and nonlinear systems that are presented to be non-Gaussian fractal and chaotic. Their complexity and different aspects of nonlinear properties, such as time irreversibility, vary over time and for a long-range of scales. Therefore, our work presents approaches to measure the complexity and irreversibility of the time series. To the presented methods we include Guzik’s index, Porta’s index, Costa’s index, based on complex networks measures, Mul
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Maydykovskiy, Igor. Consciousness as a new form of the matter’s state. Intellectual Archive, 2021. http://dx.doi.org/10.32370/iaj.2555.

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The article discusses the physical model of the implicative form of Consciousness in the form of a holographic wave matrix, for which the material basis is directly the phase environment that fills the entire Space. It is shown that a similar form of Consciousness that exists outside the human brain can be represented as a kind of software shell that controls all forms of matter by implementing a fractal cyclic iterative algorithm. The condition for the completion of each iterative cycle at each scale level is the observance of the laws of symmetry that ensure the survival of the object in the
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Zhang, Renduo, and David Russo. Scale-dependency and spatial variability of soil hydraulic properties. United States Department of Agriculture, 2004. http://dx.doi.org/10.32747/2004.7587220.bard.

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Water resources assessment and protection requires quantitative descriptions of field-scale water flow and contaminant transport through the subsurface, which, in turn, require reliable information about soil hydraulic properties. However, much is still unknown concerning hydraulic properties and flow behavior in heterogeneous soils. Especially, relationships of hydraulic properties changing with measured scales are poorly understood. Soil hydraulic properties are usually measured at a small scale and used for quantifying flow and transport in large scales, which causes misleading results. The
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Nechaev, V., Володимир Миколайович Соловйов, and A. Nagibas. Complex economic systems structural organization modelling. Politecnico di Torino, 2006. http://dx.doi.org/10.31812/0564/1118.

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One of the well-known results of the theory of management is the fact, that multi-stage hierarchical organization of management is unstable. Hence, the ideas expressed in a number of works by Don Tapscott on advantages of network organization of businesses over vertically integrated ones is clear. While studying the basic tendencies of business organization in the conditions of globalization, computerization and internetization of the society and the results of the financial activities of the well-known companies, the authors arrive at the conclusion, that such companies, as IBM, Boeing, Merced
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Russo, David, Daniel M. Tartakovsky, and Shlomo P. Neuman. Development of Predictive Tools for Contaminant Transport through Variably-Saturated Heterogeneous Composite Porous Formations. United States Department of Agriculture, 2012. http://dx.doi.org/10.32747/2012.7592658.bard.

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The vadose (unsaturated) zone forms a major hydrologic link between the ground surface and underlying aquifers. To understand properly its role in protecting groundwater from near surface sources of contamination, one must be able to analyze quantitatively water flow and contaminant transport in variably saturated subsurface environments that are highly heterogeneous, often consisting of multiple geologic units and/or high and/or low permeability inclusions. The specific objectives of this research were: (i) to develop efficient and accurate tools for probabilistic delineation of dominant geol
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Eshel, Amram, Jonathan P. Lynch, and Kathleen M. Brown. Physiological Regulation of Root System Architecture: The Role of Ethylene and Phosphorus. United States Department of Agriculture, 2001. http://dx.doi.org/10.32747/2001.7585195.bard.

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Abstract:
Specific Objectives and Related Results: 1) Determine the effect of phosphorus availability on ethylene production by roots. Test the hypothesis that phosphorus availability regulates ethylene production Clear differences were found between the two plants that were studied. In beans ethylene production is affected by P nutrition, tissue type, and stage of development. There are genotypic differences in the rate of ethylene production by various root types and in the differential in ethylene production when P treatments are compared. The acceleration in ethylene production with P deficiency inc
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