by Carlos E Puente (The University of California Davis, USA)

Table of Contents (38k)
Preface (58k)
Part 1: Introducing the Bell (2,321k)
Graphics (2,510k)

About the Author

Carlos E Puente received his PhD in Hydrology from Massachusetts Institute of Technology in 1984. Since then, he has published over 40 journal papers. Some of his most recent works include Chaos and Stochasticity in Deterministically Generated Multifractal Measures for the journal Fractals; DNA, Pi and the Bell for the journal Complexity; and the book The Hypotenuse, an illustrated scientific parable for turbulent times, submitted to Berrett-Koehler. He has also made over 85 presentations at numerous conferences relating to topics in Nonlinear Dynamics and Hydrology.

Generalized versions of the central limit theorem that lead to Gaussian distributions over one and higher dimensions, via arbitrary iterations of simple mappings, have recently been discovered by the author of this publication and his collaborators. Treasures Inside the Bell: Hidden Order in Chance reveals how these new constructions result in infinite exotic kaleidoscopic decompositions of two-dimensional circular bells in terms of beautiful deterministic patterns possessing arbitrary n-fold symmetries. These are patterns that, while reminding us of the infinite structure previously found in the celebrated Mandelbrot set, turn out to contain natural shapes such as snow crystals and biochemical rosettes, and even the DNA structure of life.

• Introducing the Bell:
  • The Notion of Iterations
  • Interpolating Wires
  • Textures on Interpolating Wires
  • The Bell as a Shadow
  • Wires and Bells in Higher Dimensions
  • Exotic Patterns Inside the Bell
  • Natural Sets Inside the Bell
  • More Treasures Inside the Bell
• Gallery Designs:
  • Radial Patterns
  • Rotational Patterns
  • Evolutions & Quilts
• Technical Notes