Art Meets Mathematics In The Fourth Dimension
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Art Meets Mathematics In The Fourth Dimension
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Author : Stephen Leon Lipscomb
language : en
Publisher: Springer
Release Date : 2014-10-13
Art Meets Mathematics In The Fourth Dimension written by Stephen Leon Lipscomb and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-13 with Mathematics categories.
To see objects that live in the fourth dimension we humans would need to add a fourth dimension to our three-dimensional vision. An example of such an object that lives in the fourth dimension is a hyper-sphere or “3-sphere.” The quest to imagine the elusive 3-sphere has deep historical roots: medieval poet Dante Alighieri used a 3-sphere to convey his allegorical vision of the Christian afterlife in his Divine Comedy. In 1917, Albert Einstein visualized the universe as a 3-sphere, describing this imagery as “the place where the reader’s imagination boggles. Nobody can imagine this thing.” Over time, however, understanding of the concept of a dimension evolved. By 2003, a researcher had successfully rendered into human vision the structure of a 4-web (think of an ever increasingly-dense spider’s web). In this text, Stephen Lipscomb takes his innovative dimension theory research a step further, using the 4-web to reveal a new partial image of a 3-sphere. Illustrations support the reader’s understanding of the mathematics behind this process. Lipscomb describes a computer program that can produce partial images of a 3-sphere and suggests methods of discerning other fourth-dimensional objects that may serve as the basis for future artwork.
Art Meets Mathematics In The Fourth Dimension
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Author : Stephen Lipscomb
language : en
Publisher:
Release Date : 2014-10-31
Art Meets Mathematics In The Fourth Dimension written by Stephen Lipscomb and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-31 with categories.
Incipit
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Author :
language : en
Publisher:
Release Date : 2012-12-17
Incipit written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-17 with categories.
The Fourth Dimension And Non Euclidean Geometry In Modern Art Revised Edition
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Author : Linda Dalrymple Henderson
language : en
Publisher: MIT Press
Release Date : 2018-05-18
The Fourth Dimension And Non Euclidean Geometry In Modern Art Revised Edition written by Linda Dalrymple Henderson and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-18 with Art categories.
The long-awaited new edition of a groundbreaking work on the impact of alternative concepts of space on modern art. In this groundbreaking study, first published in 1983 and unavailable for over a decade, Linda Dalrymple Henderson demonstrates that two concepts of space beyond immediate perception—the curved spaces of non-Euclidean geometry and, most important, a higher, fourth dimension of space—were central to the development of modern art. The possibility of a spatial fourth dimension suggested that our world might be merely a shadow or section of a higher dimensional existence. That iconoclastic idea encouraged radical innovation by a variety of early twentieth-century artists, ranging from French Cubists, Italian Futurists, and Marcel Duchamp, to Max Weber, Kazimir Malevich, and the artists of De Stijl and Surrealism. In an extensive new Reintroduction, Henderson surveys the impact of interest in higher dimensions of space in art and culture from the 1950s to 2000. Although largely eclipsed by relativity theory beginning in the 1920s, the spatial fourth dimension experienced a resurgence during the later 1950s and 1960s. In a remarkable turn of events, it has returned as an important theme in contemporary culture in the wake of the emergence in the 1980s of both string theory in physics (with its ten- or eleven-dimensional universes) and computer graphics. Henderson demonstrates the importance of this new conception of space for figures ranging from Buckminster Fuller, Robert Smithson, and the Park Place Gallery group in the 1960s to Tony Robbin and digital architect Marcos Novak.
Visualizing Mathematics With 3d Printing
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Author : Henry Segerman
language : en
Publisher: JHU Press
Release Date : 2016-10-04
Visualizing Mathematics With 3d Printing written by Henry Segerman and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-04 with Mathematics categories.
The first book to explain mathematics using 3D printed models. Winner of the Technical Text of the Washington Publishers Wouldn’t it be great to experience three-dimensional ideas in three dimensions? In this book—the first of its kind—mathematician and mathematical artist Henry Segerman takes readers on a fascinating tour of two-, three-, and four-dimensional mathematics, exploring Euclidean and non-Euclidean geometries, symmetry, knots, tilings, and soap films. Visualizing Mathematics with 3D Printing includes more than 100 color photographs of 3D printed models. Readers can take the book’s insights to a new level by visiting its sister website, 3dprintmath.com, which features virtual three-dimensional versions of the models for readers to explore. These models can also be ordered online or downloaded to print on a 3D printer. Combining the strengths of book and website, this volume pulls higher geometry and topology out of the realm of the abstract and puts it into the hands of anyone fascinated by mathematical relationships of shape. With the book in one hand and a 3D printed model in the other, readers can find deeper meaning while holding a hyperbolic honeycomb, touching the twists of a torus knot, or caressing the curves of a Klein quartic.
Human And The 4th Dimension Volume 1
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Author : Prof. Dr. Bilal Semih Bozdemir
language : en
Publisher: Prof. Dr. Bilal Semih Bozdemir
Release Date :
Human And The 4th Dimension Volume 1 written by Prof. Dr. Bilal Semih Bozdemir and has been published by Prof. Dr. Bilal Semih Bozdemir this book supported file pdf, txt, epub, kindle and other format this book has been release on with Art categories.
Human and the 4th Dimension The mystery of time Linear vs. non-linear perception of time Objective vs. subjective time The arrow of time Einstein's theory of relativity Time dilation and length contraction The space-time continuum Black holes and time travel The grandfather paradox Quantum entanglement and the nature of time Consciousness and the experience of time Altered states of consciousness and time perception The human brain and time processing Chronobiology and circadian rhythms Biological clocks and the 24-hour cycle Sleep, dreams, and the perception of time Aging and the subjective experience of time The psychology of waiting and time estimation Cultural and linguistic differences in time perception Monochronic vs. polychronic time orientation The value of time and time management Time scarcity and the "busy" epidemic Mindfulness and the present moment Procrastination and the distortion of time Nostalgia and the selective memory of time The role of technology in shaping time perception Digital disruption and the acceleration of time The need for work-life balance in a fast-paced world The future of time: AI, automation, and the human experience Ethical considerations in the manipulation of time The universality and uniqueness of the human experience of time Exploring the metaphysical and spiritual dimensions of time Conclusion: Embracing the 4th dimension of human existence
The Fourth Dimension Toward A Geometry Of Higher Reality
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Author : Rudy Rucker
language : en
Publisher: Courier Corporation
Release Date : 2014-08-18
The Fourth Dimension Toward A Geometry Of Higher Reality written by Rudy Rucker and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-18 with Science categories.
One of the most talented contemporary authors of cutting-edge math and science books conducts a fascinating tour of a higher reality, the fourth dimension. Includes problems, puzzles, and 200 drawings. "Informative and mind-dazzling." — Martin Gardner.
A Visual Introduction To The Fourth Dimension Rectangular 4d Geometry
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Author : Chris McMullen
language : en
Publisher:
Release Date : 2013-01-19
A Visual Introduction To The Fourth Dimension Rectangular 4d Geometry written by Chris McMullen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-19 with categories.
This colorful, visual introduction to the fourth dimension provides a clear explanation of the concepts and numerous illustrations. It is written with a touch of personality that makes this an engaging read instead of a dry math text. The content is very accessible, yet at the same time detailed enough to satisfy the interests of advanced readers. This book is devoted to geometry; there are no spiritual or religious components to this book. May you enjoy your journey into the fascinating world of the fourth dimension! Contents: Introduction Chapter 0: What Is a Dimension? Chapter 1: Dimensions Zero and One Chapter 2: The Second Dimension Chapter 3: Three-Dimensional Space Chapter 4: A Fourth Dimension of Space Chapter 5: Tesseracts and Hypercubes Chapter 6: Hypercube Patterns Chapter 7: Planes and Hyperplanes Chapter 8: Tesseracts in Perspective Chapter 9: Rotations in 4D Space Chapter 10: Unfolding a Tesseract Chapter 11: Cross Sections of a Tesseract Chapter 12: Living in a 4D House Further Reading Glossary About the Author Put on your spacesuit, strap on your safety harness, swallow your anti-nausea medicine, and enjoy this journey into a fourth dimension of space! 10D, 9D, 8D, 7D, 6D, 5D, 4D, 3D, 2D, 1D, 0D. Blast off!
Math Mutation Classics
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Author : Erik Seligman
language : en
Publisher: Apress
Release Date : 2016-04-22
Math Mutation Classics written by Erik Seligman and has been published by Apress this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-22 with Computers categories.
Use math in unique ways to analyze things you observe in life and use proof to attain the unexpected. There is quite a wide diversity of topics here and so all age levels and ability levels will enjoy the discussions. You'll see how the author's unique viewpoint puts a mathematical spin on everything from politicians to hippos. Along the way, you will enjoy the different point of view and hopefully it will open you up to a slightly more out-of-the-box way of thinking. Did you know that sometimes 2+2 equals 5? That wheels don't always have to be round? That you can mathematically prove there is a hippopotamus in your basement? Or how to spot four-dimensional beings as they pass through your kitchen? If not, then you need to read this book! Math Mutation Classics is a collection of Erik Seligman's blog articles from Math Mutation at MathMutation.com. Erik has been creating podcasts and converting them in his blog for many years. Now, he has collected what he believes to be the most interesting among them, and has edited and organized them into a book that is often thought provoking, challenging, and fun. What You Will Learn View the world and problems in different ways through math. Apply mathematics to things you thought unimaginable. Abstract things that are not taught in school. Who this Book is For Teenagers, college level students, and adults who can gain from the many different ways of looking at problems and feed their interest in mathematics.
Mathematics In Twentieth Century Literature And Art
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Author : Robert Tubbs
language : en
Publisher: JHU Press
Release Date : 2014-07-15
Mathematics In Twentieth Century Literature And Art written by Robert Tubbs and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-15 with Art categories.
Chips away at the notion of an accidental relationship between math and art and literature. During the twentieth century, many artists and writers turned to abstract mathematical ideas to help them realize their aesthetic ambitions. Man Ray, Marcel Duchamp, and, perhaps most famously, Piet Mondrian used principles of mathematics in their work. Was it mere coincidence, or were these artists simply following their instincts, which in turn were ruled by mathematical underpinnings, such as optimal solutions for filling a space? If math exists within visual art, can it be found within literary pursuits? In short, just what is the relationship between mathematics and the creative arts? In this provocative, original exploration of mathematical ideas in art and literature, Robert Tubbs argues that the links are much stronger than previously imagined and exceed both coincidence and commonality of purpose. Not only does he argue that mathematical ideas guided the aesthetic visions of many twentieth-century artists and writers, Tubbs further asserts that artists and writers used math in their creative processes even though they seemed to have no affinity for mathematical thinking. In the end, Tubbs makes the case that art can be better appreciated when the math that inspired it is better understood. An insightful tour of the great masters of the last century and an argument that challenges long-held paradigms, Mathematics in Twentieth-Century Literature and Art will appeal to mathematicians, humanists, and artists, as well as instructors teaching the connections among math, literature, and art.