Download or read book The Fractal Geometry of Nature written by Benoit Mandelbrot and published by Echo Point Books & Media, LLC. This book was released on 2021-07-16 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in a style that is accessible to a wide audience, The Fractal Geometry of Nature inspired popular interest in this emerging field. Mandelbrot's unique style, and rich illustrations will inspire readers of all backgrounds.

Download or read book Finding Our Way Home written by Myke Johnson and published by Lulu.com. This book was released on 2016-11-25 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this time of ecological crisis, all that is holy calls us into a more intimate partnership with the diverse and beautiful beings of this earth. In Finding Our Way Home, Myke Johnson reflects on her personal journey into such a partnership and offers a guide for others to begin this path. Lyrically expressed, it weaves together lessons from a chamomile flower, a small bird, a copper beech tree, a garden slug, and a forest fern, along with insights from Indigenous philosophy, environmental science, fractal geometry, childhood Catholic mysticism, the prophet Elijah, fairy tales, and permaculture design. This eco-spiritual journey also wrestles with the history of our society's destruction of the natural world, and its roots in the original theft of the land from Indigenous peoples. Exploring the spiritual dimensions of our brokenness, it offers tools to create healing. Finding Our Way Home is a ceremony to remember our essential unity with all of life.

Download or read book The Beauty of Fractals written by Denny Gulick and published by MAA. This book was released on 2010 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Beauty of Fractals includes six essays related to fractals, with perspectives different enough to give you a taste of the breadth of the subject. Each essay is self-contained and expository. Moreover, each of the essays is intended to be accessible to a broad audience that includes college teachers, high school teachers, advanced undergraduate students, and others who wish to learn or teach about topics in fractals that are not regularly in textbooks on fractals.

Download or read book The Algorithmic Beauty of Plants written by Przemyslaw Prusinkiewicz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now available in an affordable softcover edition, this classic in Springer's acclaimed Virtual Laboratory series is the first comprehensive account of the computer simulation of plant development. 150 illustrations, one third of them in colour, vividly demonstrate the spectacular results of the algorithms used to model plant shapes and developmental processes. The latest in computer-generated images allow us to look at plants growing, self-replicating, responding to external factors and even mutating, without becoming entangled in the underlying mathematical formulae involved. The authors place particular emphasis on Lindenmayer systems - a notion conceived by one of the authors, Aristid Lindenmayer, and internationally recognised for its exceptional elegance in modelling biological phenomena. Nonetheless, the two authors take great care to present a survey of alternative methods for plant modelling.

Download or read book Flower geometry written by Jean Constant and published by Hermay NM. This book was released on 2021-08-10 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second part of a larger project exploring the relationship between mathematics and Nature. The first part focused on the geometry of minerals. This book is a visual journey that celebrates the many connections between the organic world and the findings of abstract mathematical sciences throughout history. 52 illustrations & original photographs. Logbook & references.

Download or read book The Last Equation of Isaac Severy written by Nova Jacobs and published by Simon and Schuster. This book was released on 2018-03-06 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: *Wall Street Journal’s “Mysteries: Best of 2018” *Book of the Month Club Selection *Edgar Award Nominee: Best First Novel by an American Author A “hugely entertaining” (Wall Street Journal) mystery starring “a Royal Tenenbaums-esque clan of geniuses” (Martha Stewart Living)—perfect for fans of Mr. Penumbra’s 24-Hour Bookstore. In this “riveting…brilliant” (Booklist) debut, Hazel Severy, the owner of a struggling Seattle bookstore, receives a letter from her adoptive grandfather—mathematician Isaac Severy—days after he dies in a suspected suicide. In his puzzling letter, Isaac alludes to a secretive organization that is after his final bombshell equation, and he charges Hazel with safely delivering it to a trusted colleague. But first, she must find where the equation is hidden. While in Los Angeles for Isaac’s funeral, Hazel realizes she’s not the only one searching for his life’s work, and that the equation’s implications have potentially disastrous consequences for the extended Severy family, a group of dysfunctional geniuses unmoored by the sudden death of their patriarch. As agents of an enigmatic company shadow Isaac’s favorite son—a theoretical physicist—and a long-lost cousin mysteriously reappears in Los Angeles, the equation slips further from Hazel’s grasp. She must unravel a series of confounding clues hidden inside one of her favorite novels, drawing her ever closer to his mathematical treasure. But when her efforts fall short, she is forced to enlist the help of those with questionable motives. “A novel that is anything but clueless, filled with consideration and compassion” (The Washington Post), The Last Equation of Isaac Severy proves that, like Hazel, you don’t have to love math to fall under the Severy spell.

Download or read book Lindenmayer Systems Fractals and Plants written by Przemyslaw Prusinkiewicz and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1-systems are a mathematical formalism which was proposed by Aristid 1indenmayer in 1968 as a foundation for an axiomatic theory of develop ment. The notion promptly attracted the attention of computer scientists, who investigated 1-systems from the viewpoint of formal language theory. This theoretical line of research was pursued very actively in the seventies, resulting in over one thousand publications. A different research direction was taken in 1984 by Alvy Ray Smith, who proposed 1-systems as a tool for synthesizing realistic images of plants and pointed out the relationship between 1-systems and the concept of fractals introduced by Benoit Mandel brot. The work by Smith inspired our studies of the application of 1-systems to computer graphics. Originally, we were interested in two problems: • Can 1-systems be used as a realistic model of plant species found in nature? • Can 1-systems be applied to generate images of a wide class of fractals? It turned out that both questions had affirmative answers. Subsequently we found that 1-systems could be applied to other areas, such as the generation of tilings, reproduction of a geometric art form from East India, and synthesis of musical scores based on an interpretation of fractals. This book collects our results related to the graphical applications of- systems. It is a corrected version of the notes which we prepared for the ACM SIGGRAPH '88 course on fractals.

Download or read book The Fractal Prince written by Hannu Rajaniemi and published by Macmillan + ORM. This book was released on 2012-09-27 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Quantum Thief sequel is “stupefyingly entertaining, like a heist movie for post-singularity, AI-boosted string theoreticians from beyond spacetime” (Charles Stross). “The good thing is, no one will ever die again. The bad thing is, everyone will want to.” A physicist receives a mysterious paper. The ideas in it are far, far ahead of current thinking and quite, quite terrifying. In a city of “fast ones,” shadow players, and jinni, two sisters contemplate a revolution. And on the edges of reality a thief, helped by a sardonic ship, is trying to break into a Schrödinger box for his patron. In the box is his freedom. Or not. Jean de Flambeur is back. And he’s running out of time. In Hannu Rajaniemi’s sparkling follow-up to the critically acclaimed international sensation The Quantum Thief, he returns to his awe-inspiring vision of the universe . . . and we discover what the future held for Earth. “Stories within stories, mind-boggling scientific extrapolations, and flamboyant characters mark the author as a rising star of the genre.” —Library Journal “Rajaniemi’s witty language and charmingly wry hero will make the read well worth the effort for the first installment’s fans.” —Publishers Weekly “Fans of the author’s popular debut novel, which mixed hard science with wild fantasy, will probably be lining up for this follow-up, which resolves some of the questions posed in The Quantum Thief but, on the other hand, asks several more, for which there are, as yet, no answers.” —Booklist

Download or read book Growing Patterns written by Sarah C. Campbell and published by Astra Publishing House. This book was released on 2022-07-26 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: ALSC Notable Children's Book A wonderful introduction to one of the most beautiful connections between mathematics and the natural world–the Fibonacci sequence–through a series of stunning nature photographs. Discover the biggest mathematical mystery in nature—Fibonacci numbers! Named after a famous mathematician, the number pattern is simple and starts with: 1, 1, 2, 3, 5, 8, 13. Each number in the sequence comes from adding the two numbers before it. What's the mystery? The pattern crops up in the most unexpected places. You'll find it in the disk of a sunflower, the skin of a pineapple, and the spiral of a nautilus shell. This book brings math alive, celebrates science, and will inspire kids to see nature through new eyes.

Download or read book The Nature of Code written by Daniel Shiffman and published by No Starch Press. This book was released on 2024-09-03 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: All aboard The Coding Train! This beginner-friendly creative coding tutorial is designed to grow your skills in a fun, hands-on way as you build simulations of real-world phenomena with “The Coding Train” YouTube star Daniel Shiffman. What if you could re-create the awe-inspiring flocking patterns of birds or the hypnotic dance of fireflies—with code? For over a decade, The Nature of Code has empowered countless readers to do just that, bridging the gap between creative expression and programming. This innovative guide by Daniel Shiffman, creator of the beloved Coding Train, welcomes budding and seasoned programmers alike into a world where code meets playful creativity. This JavaScript-based edition of Shiffman’s groundbreaking work gently unfolds the mysteries of the natural world, turning complex topics like genetic algorithms, physics-based simulations, and neural networks into accessible and visually stunning creations. Embark on this extraordinary adventure with projects involving: A physics engine: Simulate the push and pull of gravitational attraction. Flocking birds: Choreograph the mesmerizing dance of a flock. Branching trees: Grow lifelike and organic tree structures. Neural networks: Craft intelligent systems that learn and adapt. Cellular automata: Uncover the magic of self-organizing patterns. Evolutionary algorithms: Play witness to natural selection in your code. Shiffman’s work has transformed thousands of curious minds into creators, breaking down barriers between science, art, and technology, and inviting readers to see code not just as a tool for tasks but as a canvas for boundless creativity. Whether you’re deciphering the elegant patterns of natural phenomena or crafting your own digital ecosystems, Shiffman’s guidance is sure to inform and inspire. The Nature of Code is not just about coding; it’s about looking at the natural world in a new way and letting its wonders inspire your next creation. Dive in and discover the joy of turning code into art—all while mastering coding fundamentals along the way. NOTE: All examples are written with p5.js, a JavaScript library for creative coding, and are available on the book's website.

Download or read book African Fractals written by Ron Eglash and published by . This book was released on 1999 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals are characterized by the repetition of similar patterns at ever-diminishing scales. Fractal geometry has emerged as one of the most exciting frontiers on the border between mathematics and information technology and can be seen in many of the swirling patterns produced by computer graphics. It has become a new tool for modeling in biology, geology, and other natural sciences. Anthropologists have observed that the patterns produced in different cultures can be characterized by specific design themes. In Europe and America, we often see cities laid out in a grid pattern of straight streets and right-angle corners. In contrast, traditional African settlements tend to use fractal structures-circles of circles of circular dwellings, rectangular walls enclosing ever-smaller rectangles, and streets in which broad avenues branch down to tiny footpaths with striking geometric repetition. These indigenous fractals are not limited to architecture; their recursive patterns echo throughout many disparate African designs and knowledge systems. Drawing on interviews with African designers, artists, and scientists, Ron Eglash investigates fractals in African architecture, traditional hairstyling, textiles, sculpture, painting, carving, metalwork, religion, games, practical craft, quantitative techniques, and symbolic systems. He also examines the political and social implications of the existence of African fractal geometry. His book makes a unique contribution to the study of mathematics, African culture, anthropology, and computer simulations.

Download or read book Chaos and Fractals written by C.A. Pickover and published by Elsevier. This book was released on 1998-08-03 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: These days computer-generated fractal patterns are everywhere, from squiggly designs on computer art posters to illustrations in the most serious of physics journals. Interest continues to grow among scientists and, rather surprisingly, artists and designers. This book provides visual demonstrations of complicated and beautiful structures that can arise in systems, based on simple rules. It also presents papers on seemingly paradoxical combinations of randomness and structure in systems of mathematical, physical, biological, electrical, chemical, and artistic interest. Topics include: iteration, cellular automata, bifurcation maps, fractals, dynamical systems, patterns of nature created through simple rules, and aesthetic graphics drawn from the universe of mathematics and art.Chaos and Fractals is divided into six parts: Geometry and Nature; Attractors; Cellular Automata, Gaskets, and Koch Curves; Mandelbrot, Julia and Other Complex Maps; Iterated Function Systems; and Computer Art.Additionally, information on the latest practical applications of fractals and on the use of fractals in commercial products such as the antennas and reaction vessels is presented. In short, fractals are increasingly finding application in practical products where computer graphics and simulations are integral to the design process. Each of the six sections has an introduction by the editor including the latest research, references, and updates in the field. This book is enhanced with numerous color illustrations, a comprehensive index, and the many computer program examples encourage reader involvement.

Download or read book Vegetables Illustrated written by America's Test Kitchen and published by America's Test Kitchen. This book was released on 2019-03-05 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: THE ULTIMATE VEGETABLE COOKBOOK: Discover 700+ ways to cook nearly every vegetable under the sun with hundreds of step-by-step photos and watercolor illustrations! Plus, expert tips on techniques, shopping, storage, and seasonality make it easier than ever to eat more vegetables all year round. We're all looking for interesting, achievable ways to enjoy vegetables more often. This must-have vegetable cookbook has more than 700 kitchen-tested recipes that hit that mark. Learn 40 ways to cook potatoes, 30 ways with broccoli, and so much more. Each chapter showcases a particular vegetable and is full of practical tips from America's Test Kitchen test cooks. 700+ delicious recipes for sides and mains covering 40+ vegetables from A to Z Stunning and helpful visuals—recipe photography, step-by-step photos, and watercolor illustrations Expert guidance on shopping, storage, seasonality, prep, and cooking techniques Nutritional information to help you meet your healthy eating goals Discover how to make the perfect grilled corn and transform it into a creamy pasta sauce with ricotta and basil. Turn sunchokes into a Super Slaw for Salmon Tacos, and char avocados for Crispy Skillet Turkey Burgers. Get creative with the dozens of ways you can prepare onions, cauliflower, and sweet potatoes for your weeknight dinners. With inviting recipes, beautiful visuals, and invaluable kitchen tips, Vegetables Illustrated makes it easy—and irresistibly tempting—to eat more vegetables every day.

Download or read book Fractal Cosmos written by Jeff Berkowitz and published by . This book was released on 1994 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fractal Cosmos Calendar has been the most successful calendar for Amber Lotus. Over the years, Amber Lotus has published the development in Fractal Art. Now, Amber Lotus publishes FRactal Images by Lifesmith, including an introductory text, a brief history as well as the mechanics of mathematical art. The book includes 350 color images of popular designs in modern fractals. Amber Lotus also publishes Fractal Arts as greeting cards, wrapping paper, calendars, and blank journals.

Download or read book Fractals Everywhere written by Michael F. Barnsley and published by Academic Press. This book was released on 2014-05-10 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals Everywhere, Second Edition covers the fundamental approach to fractal geometry through iterated function systems. This 10-chapter text is based on a course called "Fractal Geometry", which has been taught in the School of Mathematics at the Georgia Institute of Technology. After a brief introduction to the subject, this book goes on dealing with the concepts and principles of spaces, contraction mappings, fractal construction, and the chaotic dynamics on fractals. Other chapters discuss fractal dimension and interpolation, the Julia sets, parameter spaces, and the Mandelbrot sets. The remaining chapters examine the measures on fractals and the practical application of recurrent iterated function systems. This book will prove useful to both undergraduate and graduate students from many disciplines, including mathematics, biology, chemistry, physics, psychology, mechanical, electrical, and aerospace engineering, computer science, and geophysical science.

Download or read book Nanobrain written by Anirban Bandyopadhyay and published by CRC Press. This book was released on 2020-04-03 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making an artificial brain is not a part of artificial intelligence. It will be a revolutionary journey of mankind exploring a science where one cannot write an equation, a material will vibrate like geometric shape, and then those shapes will change to make decisions. Geometry of silence plays like a musical instrument to mimic a human brain; our thoughts, imagination, everything would be a 3D shape playing as music; composing music would be the brain’s singular job. For a century, the Turing machine ruled human civilization; it was believed that irrespective of complexity all events add up linearly. This book is a thesis to explore the science of decision-making where events are 3D-geometric shapes, events grow within and above, never side by side. ​ The book documents inventions and discoveries in neuroscience, computer science, materials science, mathematics and chemistry that explore the possibility of brain or universe as a time crystal. The philosophy of Turing, the philosophy of membrane-based neuroscience and the philosophy of linear, sequential thought process are challenged here by considering that a nested time crystal encompasses the entire conscious universe. Instead of an algorithm, the pattern of maximum free will is generated mathematically and that very pattern is encoded in materials such that its natural vibration integrates random events exactly similar to the way nature does it in every remote corner of our universe. Find how an artificial brain avoids any necessity for algorithm or programming using the pattern of free will.

Download or read book Fractals Coloring Book written by Julien Clinton Sprott and published by Chartwell Books. This book was released on 2014-08-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Use the carefully crafted outlines in this gorgeous coloring book to produce your own stunning fractal artwork with colored pencils, markers, or crayons while improving your artistic skills and having fun. Some of the most intriguing patterns are found in fractals. Never-ending with shapes reminiscent of objects seen in nature, fractals contain miniature copies of themselves. In this book you will find a rich source of beautiful patterns just waiting for you to bring them to life with vivid colors. Assembled here is a treasure trove of fractal outlines, both ancient and modern, that you will love to personalize and make your own. Take your coloring to a whole new creative level with the Fractal Coloring Book. Whether you lose yourself in the coloring of one of these mesmerizing designs or use them to decorate a serene space at home, viewing a colorful fractal promises to inspire a sense of calm and tranquility. The Fractal Coloring Book is not your ordinary coloring book, and it will inspire children and adults alike. For more fabulous and unconventional coloring books, check out other books in the series, including Impressionist Coloring Book, Fairies Coloring Book, Flowers Coloring Book, Tattoo Coloring Book, Mandala Coloring Book and Victoriana Coloring Book. There is no right or wrong way to choose colors for these wonderful objects, a happy fact that leaves you free to let your imagination be your guide.