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The Family Tree of Fractal Curves, Paperback / softback Book

The Family Tree of Fractal Curves Paperback / softback

Paperback / softback

Description

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

Information

  • Format:Paperback / softback
  • Pages:154 pages
  • Publisher:Eyebrain Books
  • Publication Date:
  • Category:
  • ISBN:9780983054634

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Information

  • Format:Paperback / softback
  • Pages:154 pages
  • Publisher:Eyebrain Books
  • Publication Date:
  • Category:
  • ISBN:9780983054634