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arXiv:hep-th/0211048 v2 8 Nov 2002

Inflation, Quantum Cosmology and the Anthropic Principle1 arXiv:hep-th/0211048 v2 8 Nov 2002

Fractals : an Introduction through Symmetry

I hope viewers enjoy this gentle approach to math education. The focus is Math-Art. It is sensory, heuristic , with the intent of imparting perspective as opposed to strict knowledge per se. Ideally, viewers new to fractals will walk away with an ability to recognize some fractals in everyday ...


"Fractals are a kind of geometry, associated with a man named Mandelbrot." - Malcolm talking to Grant [Crichton, 1990]. The connection between chaos and fractals is that strange attractors (the pattern produced by graphing the behavior of a chaotic system) exhibit all the scaling properties associated ...

What are fractals

1 ARi Amalgamated Research Inc. www.arifractal.com What are fractals? A key characteristic of fractals is self-similarity.

Introduction to Fractal Geometry

This presentation provides a broad and basic introduction to the subject of fractal geometry. My thanks to Michael Frame at Yale University for the use of many of the photos and graphics that appear here.


Because of the smaller similar divisions of fractals, they appear similar at all magnifications. However, while all fractals are self-similar, not all self-similar forms are fractals.

Fractals, Graphics, and Mathematics Education1

Chapter3 Fractals, Graphics, and Mathematics Education 1 BenoitB. Mandelbrot 1 Introduction The fundamental importance of education has always been very clear tome and it has been very frustrating, and cer-tainlynotagood thing in itself, that the bulk of my working life went without the ...

Fractal Analysis of Image Structures

Barnsley, M.F.: Fractals Everywhere , Academic Press, Boston, (1988). 5. Voss, R. Random fractals: characterization and measurment . R. Pynn and A. Skjeltorp, Eds., Scaling Phenomena in Disordered Systems.

Fractal Finance

Fractal Finance 8 An Introduction to Chaos Theory and Fractals Welcome to the wonderful world of Chaos. What is Chaos? Chaos is lightening, weather patterns, earthquakes, and financial markets.

Fractals, Chaos Theory, Quantum Spirituality, and The Shack

Twelve Fractals, Chaos Theory, Quantum Spirituality, and The Shack A fractal . . . something considered simple and orderly that is actually composed of repeated patterns no matter how magnified.