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The Family Tree of Fractal Curves

The Family Tree of Fractal Curves

ByJeffrey Ventrella

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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

Details

Publication Date
Jun 21, 2019
Language
English
ISBN
9780983054634
Category
Computers & Technology
Copyright
All Rights Reserved - Standard Copyright License
Contributors
By (author): Jeffrey Ventrella

Specifications

Pages
152
Binding Type
Paperback Perfect Bound
Interior Color
Black & White
Dimensions
US Trade (6 x 9 in / 152 x 229 mm)

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