Fractal: Discussion
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m e t a m o r p h o p t i c s
While providing a chance to interact in real time with abstract ideas, Cymatics experiments help show the ways that forms and patterns emerge from fluid and symbiotic interactions, and the ways that transformations of forms or patterns can happen in the natural world. Working with this visually I want to express a symbolic quality to the fractal and self-similar field-like and vibrational processes that can relate to dual micro-macro and whole/part aspects of morphogenesis, evolution, self-ogranization and development. My intent with the Macrodynamic Morphogenesis series is to show the fractal multi-level embededness and interconnectedness of pattern and form in nature throughout the history of matter/energy complexity; the unifying gestalt or whole/part unity that emerges out of the field interaction of open and natural and living systems.
The Mandelbrot set , one of the most famous examples of mathematical visualization.
Mathematical visualization - Wikipedia, the free encyclopedia
Mandelbrot set - Wikipedia, the free encyclopedia
Mandelbrot animation based on a static number of iterations per pixel
June 2010
In Fractal Finance, Part I we saw that fractals can be useful in describing complex, seemingly chaotic patterns in nature. We also saw how Wall Street took advantage of the same advances in information technology that made the study of fractals possible starting in the 1980s, to come up with computer-driven black-box trading schemes.
Mandelbrot Maps | The Math Less Traveled
Run, don’t walk, to play with the Mandelbrot Maps applet , which lets you play around with the Mandelbrot set while seeing the associated Julia sets updated in real time .The square of a number is itself multiplied by itself.
Interesting numbers - Imaginary and complex numbers
A Global Geometric Framework for Nonlinear Dimensionality Reduction
Scientists working with large volumes of high-dimensional data, such as global climate patterns, stellar spectra, or human gene distributions, regularly confront the problem of dimensionality reduction: finding meaningful low-dimensional structures hidden in their high-dimensional observations.Uncoiling the spiral: Maths and hallucinations
December 2009 Think drug-induced hallucinations, and the whirly, spirally, tunnel-vision-like patterns of psychedelic imagery immediately spring to mind.Fractal: Law of law of genre