1 / 16

The Fractal Aesthetic

The Fractal Aesthetic. Human Response to Fractal Patterns. Defining Fractals. Criteria. Fine structure, arbitrarily small scales Too irregular to be described by Euclidean geometry Shows at least approximate self similartiy

gzifa
Download Presentation

The Fractal Aesthetic

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. The Fractal Aesthetic Human Response to Fractal Patterns

  2. Defining Fractals

  3. Criteria • Fine structure, arbitrarily small scales • Too irregular to be described by Euclidean geometry • Shows at least approximate self similartiy • Has a Hausdorff dimension that is greater than its topical dimension • Has a simple, recursive definition

  4. Measuring Fractal Intensity Filled space

  5. History • 1904 Helge Von Koch develops koch curve • 1915 Waclaw Sierpinski construced a triangle and carpet • 1938 Paul Pierre Levy describes a new curve, the levy c curve

  6. Benoit Mandelbrot • Studied Self similarity • Coined the term “fractal” in 1975 • Generated many of the more popular computer made fractals

  7. Mandelbrot’s work

  8. Mandelbrot’s work contd.

  9. Variety in Fractal types • Exact self symmetry • Quasi self symmetry • Statistical self symmetry

  10. Fractals in Nature

  11. Fractals and the Conscious mind • Conception • Environment • Physiology • Evolution

  12. Development • Conception • Brain development • Maturation • Adulthood

  13. Ecology • Fractals in nature • Environmental response • Habitat • Tuning

  14. Physiology • Fractal patterns utilized by human systems • Affected of fractal patters • applications in stress therapy • Studies being conducted

  15. Evolution It is evident that fractals have been an integral part of life across the span of existence. The way we are shaped by fractals is still moderately unclear, but as research progresses, a higher understanding awaits.

  16. New Research • Wiens and Miln • Sprots • RP Taylor • Electric Sheep

More Related