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The Knot Geometry Journey
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Book Synopsis The Knot Geometry journey - Part I by : Jean Constant
Download or read book The Knot Geometry journey - Part I written by Jean Constant and published by Hermay NM. This book was released on 2021-07-17 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 12 of the Math-Art series. This 3-part book is a visual exploration of knot geometry and ethnomathematics to celebrate the similarities between abstract geometry and unique cultures worldwide. Starting at latitude 0º, longitude 0º, the author set sail (virtually) westward at an average of 400 (nautical) knots a week to fully cover its circumference and explore 1 new knot each week for an entire year. Part I is the art portfolio extracted from the geometry models, part II is a detailed record of the original geometry used to create the artwork, and part III is the weekly wind map log showing the project’s positioning, actual winds, and currents in real-time. Each book includes 52 illustrations, notes, and references.
Book Synopsis The Knot Geometry journey - Part II by : Jean Constant
Download or read book The Knot Geometry journey - Part II written by Jean Constant and published by Hermay NM. This book was released on 2021-07-19 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 12 of the Math-Art series. This 3-part book is a visual exploration of knot geometry and ethnomathematics to celebrate the similarities between abstract geometry and unique cultures worldwide. Starting at latitude 0º, longitude 0º, the author set sail (virtually) westward at an average of 400 (nautical) knots a week to fully cover its circumference and explore 1 new knot each week for an entire year. Part I is the art portfolio extracted from the geometry models, part II is a detailed record of the original geometry used to create the artwork, and part III is the weekly wind map log showing the project’s positioning, actual winds, and currents in real-time. Each book includes 52 illustrations, notes, and references.
Book Synopsis The Knot Geometry journey - Part III by : Jean Constant
Download or read book The Knot Geometry journey - Part III written by Jean Constant and published by Hermay NM. This book was released on 2021-07-19 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 12 of the Math-Art series. This 3-part book is a visual exploration of knot geometry and ethnomathematics to celebrate the similarities between abstract geometry and unique cultures worldwide. Starting at latitude 0º, longitude 0º, the author set sail (virtually) westward at an average of 400 (nautical) knots a week to fully cover its circumference and explore 1 new knot each week for an entire year. Part I is the art portfolio extracted from the geometry models, part II is a detailed record of the original geometry used to create the artwork, and part III is the weekly wind map log showing the project’s positioning, actual winds, and currents in real-time. Each book includes 52 illustrations, notes, and references.
Book Synopsis The Knot Geometry Journey by : Jean Constant
Download or read book The Knot Geometry Journey written by Jean Constant and published by Blurb. This book was released on 2021-08-03 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 3-part book is a visual exploration of knot geometry and ethnomathematics to celebrate the similarities between abstract geometry and unique cultures of the world. Starting at latitude 0o, longitude 0o, the author set sail (virtually) westward at an average of 400 (nautical) knots a week to fully cover its circumference and explore 1 new knot each week for an entire year. Part I is the art portfolio extracted from the geometry models, part II is a detailed record of the original geometry used to create the artwork, and part III is the weekly wind map log showing the project's positioning, actual winds, and currents in real-time. Illustrations, notes, and references.
Book Synopsis A Ludic Journey into Geometric Topology by : Ton Marar
Download or read book A Ludic Journey into Geometric Topology written by Ton Marar and published by Springer Nature. This book was released on 2022-09-01 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book draws on elements from everyday life, architecture, and the arts to provide the reader with elementary notions of geometric topology. Pac Man, subway maps, and architectural blueprints are the starting point for exploring how knowledge about geometry and, more specifically, topology has been consolidated over time, offering a learning journey that is both dense and enjoyable. The text begins with a discussion of mathematical models, moving on to Platonic and Keplerian theories that explain the Cosmos. Geometry from Felix Klein's point of view is then presented, paving the way to an introduction to topology. The final chapters present the concepts of closed, orientable, and non-orientable surfaces, as well as hypersurface models. Adopting a style that is both rigorous and accessible, this book will appeal to a broad audience, from curious students and researchers in various areas of knowledge to everyone who feels instigated by the power of mathematics in representing our world - and beyond.
Book Synopsis The Knot Book by : Colin Conrad Adams
Download or read book The Knot Book written by Colin Conrad Adams and published by American Mathematical Soc.. This book was released on 2004 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.
Book Synopsis Prime Number Geometry by : Jean Constant
Download or read book Prime Number Geometry written by Jean Constant and published by Hermay NM. This book was released on 2024-08-01 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 52 Illustration Prime Number series is a new chapter in the ongoing Math-Art collection exploring the world of mathematics and art. Inspired by the research of mathematicians from yesterday and today, this project aims to explore the visual aspect of numbers and highlight the unexpected connections between the challenging world of calculus, geometry, and art. Some will find references to ethnomathematics or a reflection on the universal cross-cultural appeal of mathematics; others will find a relation with the world we’re mapping for tomorrow, and hopefully, all will enjoy this unexpected interpretation of numbers from an artistic standpoint.
Download or read book Minimal Surfaces written by Jean Constant and published by Hermay NM. This book was released on 2022-08-09 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: A 52 illustration two-part book on the exploration of minimal surfaces. Part 1 explores the surface from an artistic perspective, and part 2 visually reproduces the equations that stand in their own right as a beautiful expression of pure geometry. Each book includes notes from an informal work-in-progress diary and references directing the reader to the images’ original mathematical source. Both sides complement each other in helping us appreciate better these unrivaled expressions of our environment found in nature, from butterflies to black holes, and studied in statistics, material sciences, and architecture.
Download or read book Polyverse written by Jean Constant and published by Hermay NM. This book was released on 2023-03-25 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: A 52-illustration, notes, and references book exploring the geometry of H. Coxeter surfaces. Coxeter was instrumental in many discoveries in the field of geometry and computer sciences. He opened the door to the 4th dimension to all studying higher spaces. Exploring these groups has some practical applications in mineralogy, architecture, linear programming, and other areas; mostly, people enjoy contemplating the figures because of their symmetrical shapes and aesthetic appeal. For artists, it is a limitless trove of inspiration. This illustrated book results from some of the most striking Coxeter examples of geometry in higher dimensions.
Book Synopsis The Genesis and Geometry of the Labyrinth by : Patrick Conty
Download or read book The Genesis and Geometry of the Labyrinth written by Patrick Conty and published by Simon and Schuster. This book was released on 2002-12-01 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking look at the phenomenon of the labyrinth, connecting this ancient symbol to modern scientific principles. • Illustrated with labyrinths from around the world and throughout history. • Demonstrates how the labyrinth differs from a maze and how it is a tool for interpreting ancient myths and religious beliefs. • Draws parallels between the labyrinth and quantum physics, showing how through the secrets of the labyrinth we can unlock the mystery of life itself. The powerful symbol of the labyrinth exists in countless cultures spanning the globe from Africa and ancient Greece to India, China, and pre-Colombian North and South America. For centuries they have been used for religious rituals, meditation, and spiritual and physical healing. In the labyrinth humanity finds a model of the quintessential sacred space that depicts the most profound levels of consciousness. Its center is regarded in many cultures as a door between two worlds, thus providing individuals with the ideal place for self questioning and meditation. In a comprehensive exploration of this time-honored symbol, Patrick Conty shows how the geometrical construction of the ancient labyrinth corresponds exactly with today's modern geometry, illustrating that recent developments in math and physics parallel the science of ancient civilizations. By looking at the way the two systems complement each other, Conty draws new conclusions about the ancient world and how that world can benefit us right now. Conty explores not only physical labyrinths but also reveals how the same transcendent principles are at work in Celtic knot work; the designs of ancient Chinese cauldrons; the tattoos and tracings of primitive art; the textiles of Africa, Peru, and Central America; and the geometric patterns in Islamic art.
Book Synopsis Low-Dimensional Geometry by : Francis Bonahon
Download or read book Low-Dimensional Geometry written by Francis Bonahon and published by American Mathematical Soc.. This book was released on 2009-07-14 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of 3-dimensional spaces brings together elements from several areas of mathematics. The most notable are topology and geometry, but elements of number theory and analysis also make appearances. In the past 30 years, there have been striking developments in the mathematics of 3-dimensional manifolds. This book aims to introduce undergraduate students to some of these important developments. Low-Dimensional Geometry starts at a relatively elementary level, and its early chapters can be used as a brief introduction to hyperbolic geometry. However, the ultimate goal is to describe the very recently completed geometrization program for 3-dimensional manifolds. The journey to reach this goal emphasizes examples and concrete constructions as an introduction to more general statements. This includes the tessellations associated to the process of gluing together the sides of a polygon. Bending some of these tessellations provides a natural introduction to 3-dimensional hyperbolic geometry and to the theory of kleinian groups, and it eventually leads to a discussion of the geometrization theorems for knot complements and 3-dimensional manifolds. This book is illustrated with many pictures, as the author intended to share his own enthusiasm for the beauty of some of the mathematical objects involved. However, it also emphasizes mathematical rigor and, with the exception of the most recent research breakthroughs, its constructions and statements are carefully justified.
Book Synopsis Memory Braids and Sari Texts: Weaving Migration Journeys by : Pushpa Naidu Parekh
Download or read book Memory Braids and Sari Texts: Weaving Migration Journeys written by Pushpa Naidu Parekh and published by Archway Publishing. This book was released on 2023-07-19 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: The braid and the sari are the quintessential hairstyle and garment that women in India don every day. They are both texture and text. The braid—often kept long and styled with flowers (especially in South India) or lengthened with extensions (as in North India)—is a prized possession with both aesthetic and spiritual meanings. The sari is a length of untailored cloth material that has been the traditional everyday garb of Indian women for millennia. Using the braid and sari as the framework and defining tropes that unify the collection, the poems of Memory Braids and Sari Texts: Weaving Migration Journeys carry the memory of independent India, which turned seventy-five in 2022. These verses draw from poet Pushpa Naidu Parekh’s distinct and entangled memories of migrant and diaspora experiences of journeying from India to the United States, the space of one homeland to another, spanning the inexplicable accruing of physical, emotional, and spiritual self and their many iterations. The braid and the sari both embody the draping of oneself and the unraveling of many selves. Richly layered and textured, this poetry collection explores one woman’s vivid and sometimes muted memories of her life in India, her move to the US, and her diaspora experiences there.
Download or read book The Sacred Journey written by Greg Castle and published by Lulu.com. This book was released on 2015-07 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Sacred Journey, is a Metaphysical Discourse, on the relationship, between the Jungian Alchemical Archetypes of Transformation, and their correspondence, to the hieratic degrees, of initiatory: psychic ability, paranormal occurrence, morphogenic resonance, synchronicity experience, prophetic epiphenomena, religious radical empiricism, beatific vision, Comparative World Religion, epiphany, Biblical Scripture exegesis, Sacred Journey
Book Synopsis Boys' and Girls' Bookshelf: Little journeys into bookland by :
Download or read book Boys' and Girls' Bookshelf: Little journeys into bookland written by and published by . This book was released on 1915 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On Knots written by Louis H. Kauffman and published by Princeton University Press. This book was released on 1987 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: On Knots is a journey through the theory of knots, starting from the simplest combinatorial ideas--ideas arising from the representation of weaving patterns. From this beginning, topological invariants are constructed directly: first linking numbers, then the Conway polynomial and skein theory. This paves the way for later discussion of the recently discovered Jones and generalized polynomials. The central chapter, Chapter Six, is a miscellany of topics and recreations. Here the reader will find the quaternions and the belt trick, a devilish rope trick, Alhambra mosaics, Fibonacci trees, the topology of DNA, and the author's geometric interpretation of the generalized Jones Polynomial. Then come branched covering spaces, the Alexander polynomial, signature theorems, the work of Casson and Gordon on slice knots, and a chapter on knots and algebraic singularities.The book concludes with an appendix about generalized polynomials.
Book Synopsis Living Proof by : Allison K. Henrich
Download or read book Living Proof written by Allison K. Henrich and published by . This book was released on 2019 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wow! This is a powerful book that addresses a long-standing elephant in the mathematics room. Many people learning math ask ``Why is math so hard for me while everyone else understands it?'' and ``Am I good enough to succeed in math?'' In answering these questions the book shares personal stories from many now-accomplished mathematicians affirming that ``You are not alone; math is hard for everyone'' and ``Yes; you are good enough.'' Along the way the book addresses other issues such as biases and prejudices that mathematicians encounter, and it provides inspiration and emotional support for mathematicians ranging from the experienced professor to the struggling mathematics student. --Michael Dorff, MAA President This book is a remarkable collection of personal reflections on what it means to be, and to become, a mathematician. Each story reveals a unique and refreshing understanding of the barriers erected by our cultural focus on ``math is hard.'' Indeed, mathematics is hard, and so are many other things--as Stephen Kennedy points out in his cogent introduction. This collection of essays offers inspiration to students of mathematics and to mathematicians at every career stage. --Jill Pipher, AMS President This book is published in cooperation with the Mathematical Association of America.
Book Synopsis Exploring Classical Greek Construction Problems with Interactive Geometry Software by : Ad Meskens
Download or read book Exploring Classical Greek Construction Problems with Interactive Geometry Software written by Ad Meskens and published by Birkhäuser. This book was released on 2017-02-02 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the classical Greek construction problems are explored in a didactical, enquiry based fashion using Interactive Geometry Software (IGS). The book traces the history of these problems, stating them in modern terminology. By focusing on constructions and the use of IGS the reader is confronted with the same problems that ancient mathematicians once faced. The reader can step into the footsteps of Euclid, Viète and Cusanus amongst others and then by experimenting and discovering geometric relationships far exceed their accomplishments. Exploring these problems with the neusis-method lets him discover a class of interesting curves. By experimenting he will gain a deeper understanding of how mathematics is created. More than 100 exercises guide him through methods which were developed to try and solve the problems. The exercises are at the level of undergraduate students and only require knowledge of elementary Euclidean geometry and pre-calculus algebra. It is especially well-suited for those students who are thinking of becoming a mathematics teacher and for mathematics teachers.
