Brainfilling Curves A Fractal Bestiary
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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
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!
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.
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
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.
Author | : Theodore Andrea Cook |
Publisher | : |
Total Pages | : 520 |
Release | : 1914 |
Genre | : Aesthetics |
ISBN | : |
Author | : Lorenzo Adlai Sadun |
Publisher | : American Mathematical Soc. |
Total Pages | : 131 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 0821847279 |
"This book is an introduction to the topology of tiling spaces, with a target audience of graduate students who wish to learn about the interface of topology with aperiodic order. It isn't a comprehensive and cross-referenced tome about everything having to do with tilings, which would be too big, too hard to read, and far too hard to write! Rather, it is a review of the explosion of recent work on tiling spaces as inverse limits, on the cohomology of tiling spaces, on substitution tilings and the role of rotations, and on tilings that do not have finite local complexity. Powerful computational techniques have been developed, as have new ways of thinking about tiling spaces." "The text contains a generous supply of examples and exercises."--BOOK JACKET.
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.
Author | : Richard K. Guy |
Publisher | : American Mathematical Soc. |
Total Pages | : 367 |
Release | : 2020-08-03 |
Genre | : Mathematics |
ISBN | : 1470457318 |
In August of 1986, a special conference on recreational mathematics was held at the University of Calgary to celebrate the founding of the Strens Collection. Leading practitioners of recreational mathematics from around the world gathered in Calgary to share with each other the joy and spirit of play that is to be found in recreational mathematics. It would be difficult to find a better collection of wonderful articles on recreational mathematics by a more distinguished group of authors. If you are interested in tessellations, Escher, tilings, Rubik's cube, pentominoes, games, puzzles, the arbelos, Henry Dudeney, or change ringing, then this book is for you.
Author | : Lauretta Marie Burke |
Publisher | : |
Total Pages | : 114 |
Release | : 2011 |
Genre | : Coral reef ecology |
ISBN | : |