Academia.edu no longer supports Internet Explorer.
To browse Academia.edu and the wider internet faster and more securely, please take a few seconds to upgrade your browser.
Fractals are mathematical structures under exploration and development in virtually every academic discipline and beyond: “besides mathematics and science, fractals have direct applications in many fields, including music, literature, visual art, architecture, sculpture, dance, technology, business, finance, economics, psychology, and sociology” (Frame & Mandelbrot, 2002, p. 4). Since fractal geometry today is “the only available language for the study of roughness, a concept that is basic and related to our senses, but has been the last to give rise to a science,” (Ibid., p. 11) and ‘roughness’ or unevenness or irregularity is a natural, universal tenet of thought and matter, the science behind fractal geometry unifying it across disciplines holds much promise. The rise of a multidisciplinary discourse containing measurable -- and predictable – patterns of irregularity is attributed to fractal geometry with the seriousness and playfulness of mathematics at its root. Because of these fundamentals, the newness of the study of fractal geometry lends itself to extreme unpredictability. Since formulas and algorithms create fractal images and patterns, much of the fun and exploration of fractals lies in ability to experience new mathematical conjectures in anticipation of new discoveries. Such an exploratory method has been developing across the disciplines with diverse jargon but one common language uniting them all, that being this staunchly predictable yet wildly unpredictable mathematical integrity of the fractal, dependent upon the available formula or algorithm used to suggest its creation and level of complexity. We have yet to discover or unveil a serious application of fractal geometries related to patterns of irregularity in consideration of the work of Irwin Panofsky and the positing of iconography in art history, e.g., or in philosophy with study of Michel Foucault’s architecture of knowledge or history of insanity, which appear to naturally lend themselves to such interrogations.
Bridges Conference 2007
Fractal Art: Closer to Heaven? Modern Mathematics, the art of Nature, and the nature of Art2007 •
WIT Transactions on the Built Environment
Fractal geometry and architecture: some interesting connections2006 •
Headache
The world of fractals2020 •
This research is supported by EFOP-3.6.1-16-2016-00006 “The development and enhancement of the research potential at John von Neumann University”project. The Project is supported by the Hungarian Government and co-financed by the European Social Fund. This study was funded by the Content Pedagogy Research Program of the Hungarian Academy of Sciences.
International Journal of Transpersonal Studies
Towards a Holistic Approach: Last Word on Fractal Commentaries2020 •
2003 •
Since their discovery by Mandelbrot (The Fractal Geometry of Nature, Freeman, New York, 1977), fractals have experienced considerable success in quantifying the complex structure exhibited by many natural patterns and have captured the imaginations of scientists and artists alike. With ever-widening appeal, they have been referred to both as ‘‘fingerprints of nature’’ (Nature 399 (1999) 422) and ‘‘the new aesthetics’’ (J. Hum. Psychol. 41 (2001) 59). Here, we show that humans display a consistent aesthetic preference across fractal images, regardless of whether these images are generated by nature’s processes, by mathematics, or by the human hand. r 2003 Elsevier Ltd. All rights reserved.
Fractals have been around in nature for thousands of years and people have been influenced by all forms of art and architecture. The word fractal was coined by Benoit Mandelbrot in 1975 and his approach to fractals revolutionized the way we see these patterns. Today creative architects bring their theoretical knowledge into the international context of science and reflect its architectural flow. This study aims at suggesting "fractal" as a suited way of interpreting contemporary architecture and of exploring its potential as a new 21st century paradigm. It covers the fundamental concept of fractals in theory and their development over time as well as recent examples of how different architects have incorporated them into architecture. The study ends with an exploration of the importance of fractal geometry in the gothic period followed by African fractals. This study will further explore the potential of fractal geometry in modern design and its uses as a tool for analysis.
2019 •
Sistema di sensore agli ultrasuoni per la guida in retromarcia
Sistema di sensore agli ultrasuoni per la guida in retromarcia1993 •
Le Centre pour la Communication Scientifique Directe - HAL - Université Paris 1 Panthéon-Sorbonne
Autour de l'autel: le contrôle des donateurs et des donations alimentaires2012 •
2020 •
Cuentos argentinos. La sensibilidad y la pobreza.
Religiosidad popular y extrema pobreza: El mesías de la Villa 312019 •
2024 •
Journal of Immunology Research
Uniphasic Blanching of the Fingers, Abnormal Capillaroscopy in Nonsymptomatic Digits, and Autoantibodies: Expanding Options to Increase the Level of Suspicion of Connective Tissue Diseases beyond the Classification of Raynaud’s Phenomenon2015 •
Journal of Soil Science
Effect of liming on extractable Zn, Cu, Fe and Mn in selected Scottish soils1986 •
Proceedings of the American Mathematical Society
Invariance entropy for topological semigroup actions2013 •
bioRxiv (Cold Spring Harbor Laboratory)
Multi-signal regulation of the GSK-3β homolog Rim11 governs meiosis entry in yeast2023 •