Brainfilling Curves - A Fractal Bestiary

Brainfilling Curves - A Fractal Bestiary
Author: Jeffrey Ventrella
Publisher: Lulu.com
Total Pages: 206
Release: 2012-03-01
Genre: Computers
ISBN: 0983054622

* A lovingly-crafted visual expedition, lead by a lifelong fractal wizard with an obsession for categorizing fractal species * Hundreds of beautiful color images * An in-depth taxonomy of Koch-constructed Fractal Curves * An intuitive introduction to Koch construction * A must-read for anyone interested in fractal geometry

Figuring Fibers

Figuring Fibers
Author: Carolyn Yackel
Publisher: American Mathematical Soc.
Total Pages: 252
Release: 2018-10-31
Genre: Crafts & Hobbies
ISBN: 1470429314

Pick up this book and dive into one of eight chapters relating mathematics to fiber arts! Amazing exposition transports any interested person on a mathematical exploration that is rigorous enough to capture the hearts of mathematicians. The zenith of creativity is achieved as readers are led to knit, crochet, quilt, or sew a project specifically designed to illuminate the mathematics through its physical realization. The beautiful finished pieces provide a visual understanding of the mathematics that can be shared with those who view them. If you love mathematics or fiber arts, this book is for you!

Space Tessellations

Space Tessellations
Author: Werner Van Hoeydonck
Publisher: Birkhäuser
Total Pages: 304
Release: 2022-03-07
Genre: Architecture
ISBN: 3035625182

Tackling a topic that has particular appeal in the age of digital design, this well-founded introduction to the subject of parquet deformation fills a gap. These subtle, intricate geometric transformations, best known through the "Metamorphosis" series by M. C. Escher, were introduced to design curricula by American professor William S. Huff in the 1960s. The book brings together scholarly articles by the most important authors in the field and material collected in the archives of the Ulm School of Design in Germany, juxtaposed with extensive illustrations of two- and three-dimensional works created at the Vienna University of Technology. Written for anyone interested in the fields of design and geometry, this book aims to inform and inspire.

BrainFishing

BrainFishing
Author: Gary T. Furlong
Publisher: FriesenPress
Total Pages: 156
Release: 2018-08-15
Genre: Business & Economics
ISBN: 1525534386

BrainFishing is the “missing link”, the hands-on, practical guide for professionals looking to forge better agreements and build stronger relationships in difficult and challenging situations. It is the one, slim book that will complete your professional bookshelf. Designed for anyone who manages, sells, coaches, negotiates, resolves conflict or needs to influence other people, BrainFishing will help you understand and apply questioning skills in new, effective, and creative ways. Filled with examples, stories and exercises to help you put the skills and tools to work immediately, BrainFishing will help change your relationships from the ground up. And there’s the neuroscience behind it all, too!

The Family Tree of Fractal Curves

The Family Tree of Fractal Curves
Author: Jeffrey Ventrella
Publisher: Eyebrain Books
Total Pages: 154
Release: 2019-07
Genre: Computers
ISBN: 9780983054634

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

Curves and Fractal Dimension

Curves and Fractal Dimension
Author: Claude Tricot
Publisher: Springer Science & Business Media
Total Pages: 362
Release: 1994-11-18
Genre: Mathematics
ISBN: 9780387940953

Written for mathematicians, engineers, and researchers in experimental science, as well as anyone interested in fractals, this book explains the geometrical and analytical properties of trajectories, aggregate contours, geographical coastlines, profiles of rough surfaces, and other curves of finite and fractal length. The approach is by way of precise definitions from which properties are deduced and applications and computational methods are derived. Written without the traditional heavy symbolism of mathematics texts, this book requires two years of calculus while also containing material appropriate for graduate coursework in curve analysis and/or fractal dimension.

Space-Filling Curves

Space-Filling Curves
Author: Michael Bader
Publisher: Springer Science & Business Media
Total Pages: 286
Release: 2012-10-14
Genre: Computers
ISBN: 3642310451

Linking the differing techniques deployed in describing space-filling curves to their corresponding algorithms, this book introduces SFCs as tools in scientific computing, focusing in particular on the representation of SFCs and on the resulting algorithms.

The Fractal Geometry of the Brain

The Fractal Geometry of the Brain
Author: Antonio Di Ieva
Publisher: Springer
Total Pages: 583
Release: 2016-08-03
Genre: Medical
ISBN: 1493939955

Reviews the most intriguing applications of fractal analysis in neuroscience with a focus on current and future potential, limits, advantages, and disadvantages. Will bring an understanding of fractals to clinicians and researchers also if they do not have a mathematical background, and will serve as a good tool for teaching the translational applications of computational models to students and scholars of different disciplines. This comprehensive collection is organized in four parts: (1) Basics of fractal analysis; (2) Applications of fractals to the basic neurosciences; (3) Applications of fractals to the clinical neurosciences; (4) Analysis software, modeling and methodology.

The Art of Artificial Evolution

The Art of Artificial Evolution
Author: Juan J. Romero
Publisher: Springer Science & Business Media
Total Pages: 465
Release: 2008
Genre: Art
ISBN: 3540728767

Art is the Queen of all sciences communicating knowledge to all the generations of the world. Leonardo da Vinci Artistic behavior is one of the most valued qualities of the human mind. Although artistic manifestations vary from culture to culture, dedication to artistic tasks is common to all. In other words, artistic behavior is a universal trait of the human species. The current, Western de?nition of art is relatively new. However, a d- ication to artistic endeavors — such as the embellishment of tools, body - namentation, or gathering of unusual, arguably aesthetic, objects — can be traced back to the origins of humanity. That is, art is ever-present in human history and prehistory. Artandsciencesharealongandenduringrelationship.Thebest-known- ample of the explorationof this relationship is probably the work of Leonardo da Vinci. Somewhere in the 19th century art and science grew apart, but the cross-transfer of concepts between the two domains continued to exist. Currently, albeit the need for specialization, there is a growing interest in the exploration of the connections between art and science. Focusingoncomputerscience,itisinterestingtonoticethatearlypioneers of this discipline such as Ada Byron and Alan Turing showed an interest in using computational devices for art-making purposes. Oddly, in spite of this early interest and the ubiquity of art, it has received relatively little attention fromthe computersciencecommunityingeneral,and,moresurprisingly,from the arti?cial intelligence community.