Interesting Esoterica

Brainfilling Curves - a Fractal Bestiary

Book by Jeffrey Ventrella
  • Published in 2012
  • Added on
This is a full-color, artistic, heavily-illustrated book that introduces an intuitive process of generating plane-filling fractal curves using Koch construction. It also introduces a new way to describe and search for all plane-filling curves, including the classic curves introduced by Mandelbrot. In addition, hundreds of novel fractal curves are shown, many of them in color. This book defines a taxonomy for fractal curves, and shows how all plane-filling curves can be characterized by family-types, each family type having its own characteristic properties, including "pertiling" - recursive tiling. This book would be of interest to educated people of all backgrounds, especially geometers, computer scientists, and artists of the Escher ilk.

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BibTeX entry

@book{BrainfillingCurvesaFractalBestiary,
	title = {Brainfilling Curves - a Fractal Bestiary},
	author = {Jeffrey Ventrella},
	url = {https://archive.org/details/BrainfillingCurves-AFractalBestiary},
	urldate = {2019-05-09},
	year = 2012,
	abstract = {This is a full-color, artistic, heavily-illustrated book that introduces an intuitive process of generating plane-filling fractal curves using Koch construction. It also introduces a new way to describe and search for all plane-filling curves, including the classic curves introduced by Mandelbrot. In addition, hundreds of novel fractal curves are shown, many of them in color.

This book defines a taxonomy for fractal curves, and shows how all plane-filling curves can be characterized by family-types, each family type having its own characteristic properties, including "pertiling" - recursive tiling.

This book would be of interest to educated people of all backgrounds, especially geometers, computer scientists, and artists of the Escher ilk. },
	comment = {},
	collections = {art,easily-explained,fun-maths-facts,things-to-make-and-do}
}