TREASURES INSIDE THE BELL: HIDDEN ORDER IN CHANCE (WITH CD-ROM)

Puente, Carlos E

World Scientific Publishing Co Pte Ltd（2003/04発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 112 p.
• 言語 ENG
• 商品コード 9789812381415
• DDC分類 500

Full Description

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.

Contents

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