# Brainfilling Curves - a Fractal Bestiary

• Published in 2012
In the collections
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.

### 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}
}