The Family Tree of Fractal Curves

The Family Tree of Fractal Curves
Author :
Publisher : Eyebrain Books
Total Pages : 154
Release :
ISBN-10 : 0983054630
ISBN-13 : 9780983054634
Rating : 4/5 (634 Downloads)

Book Synopsis The Family Tree of Fractal Curves by : Jeffrey Ventrella

Download or read book The Family Tree of Fractal Curves written by Jeffrey Ventrella and published by Eyebrain Books. This book was released on 2019-07 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains a taxonomy of plane-filling curves (fractal curves with a fractal dimension of 2). it includes the classic fractal curves described in Mandelbrot's original book. Many new fractal curves are introduced. The taxonomy is based upon the Gaussian integers and the Eisenstein integers - each forming a lattice (square and triangular). These lattices have algebraic properties, which allows number theory to be used in describing and classifying these curves. This work has been under development for over 30 years. An earlier version of this taxonomy is described in the book ""Brain-filling Curves"", also by Jeffrey Ventrella. More on plane-filling curves can be found at fractalcurves.com


The Family Tree of Fractal Curves Related Books

The Family Tree of Fractal Curves
Language: en
Pages: 154
Authors: Jeffrey Ventrella
Categories: Computers
Type: BOOK - Published: 2019-07 - Publisher: Eyebrain Books

DOWNLOAD EBOOK

This book explains a taxonomy of plane-filling curves (fractal curves with a fractal dimension of 2). it includes the classic fractal curves described in Mandel
Brainfilling Curves - A Fractal Bestiary
Language: en
Pages: 206
Authors: Jeffrey Ventrella
Categories: Computers
Type: BOOK - Published: 2012-03-01 - Publisher: Lulu.com

DOWNLOAD EBOOK

* A lovingly-crafted visual expedition, lead by a lifelong fractal wizard with an obsession for categorizing fractal species * Hundreds of beautiful color image
Fractals in Probability and Analysis
Language: en
Pages: 415
Authors: Christopher J. Bishop
Categories: Mathematics
Type: BOOK - Published: 2017 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

A mathematically rigorous introduction to fractals, emphasizing examples and fundamental ideas while minimizing technicalities.
Fractals: A Very Short Introduction
Language: en
Pages: 153
Authors: Kenneth Falconer
Categories: Mathematics
Type: BOOK - Published: 2013-09-26 - Publisher: OUP Oxford

DOWNLOAD EBOOK

Many are familiar with the beauty and ubiquity of fractal forms within nature. Unlike the study of smooth forms such as spheres, fractal geometry describes more
The Fractal Geometry of Nature
Language: en
Pages: 0
Authors: Benoit Mandelbrot
Categories:
Type: BOOK - Published: 2021-07-16 - Publisher: Echo Point Books & Media, LLC

DOWNLOAD EBOOK

Written in a style that is accessible to a wide audience, The Fractal Geometry of Nature inspired popular interest in this emerging field. Mandelbrot's unique s