Search results for: geometry-in-our-three-dimensional-world

Geometry in Our Three Dimensional World

Author : Alfred S. Posamentier
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The book presents a comprehensive overview of various aspects of three-dimensional geometry that can be experienced on a daily basis. By covering the wide range of topics - from the psychology of spatial perception to the principles of 3D modelling and printing, from the invention of perspective by Renaissance artists to the art of Origami, from polyhedral shapes to the theory of knots, from patterns in space to the problem of optimal packing, and from the problems of cartography to the geometry of solar and lunar eclipses - this book provides deep insight into phenomena related to the geometry of space and exposes incredible nuances that can enrich our lives. The book is aimed at the general readership and provides more than 420 color illustrations that support the explanations and replace formal mathematical arguments with clear graphical representations.

Geometry In Our Three dimensional World

Author : Alfred S Posamentier
File Size : 60.21 MB
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The book presents a comprehensive overview of various aspects of three-dimensional geometry that can be experienced on a daily basis. By covering the wide range of topics — from the psychology of spatial perception to the principles of 3D modelling and printing, from the invention of perspective by Renaissance artists to the art of Origami, from polyhedral shapes to the theory of knots, from patterns in space to the problem of optimal packing, and from the problems of cartography to the geometry of solar and lunar eclipses — this book provides deep insight into phenomena related to the geometry of space and exposes incredible nuances that can enrich our lives.The book is aimed at the general readership and provides more than 420 color illustrations that support the explanations and replace formal mathematical arguments with clear graphical representations.

Unified Field Mechanics II Formulations and Empirical Tests

Author : Amoroso Richard L
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This volume, recording the 10th international symposium honoring noted French mathematical physicist Jean-Pierre Vigier surveys and continues to develop Unified Field Mechanics (UFM) from the perspective of Multiverse cosmology and Topological Field Theory. UFM represents a developing paradigm shift with many new parameters extending the Standard Model to a 3rd regime of Natural Science beyond Quantum Mechanics. UFM is now experimentally testable, thus putatively able to demonstrate the existence of large-scale additional dimensionality (LSXD), test for QED violating phenomena and surmount the quantum uncertainty principle leading to a new 'Age of Discovery' paling all prior ages in the historical progression: Classical Mechanics (3D) to Quantum Mechanics (4D) and now to the birth of the 3rd regime of UFM in additional dimensionality correlating with M-Theory. Many still consider the Planck-scale as the 'basement of reality'. This could only be considered true under the limitations of the Standard Model. As we methodically enter the new regime a profound understanding of the multiverse and additional dimensionality beckons.

Quarks Leptons and The Big Bang Second Edition

Author : Jonathan Allday
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Quarks, Leptons and The Big Bang is a clear, readable and self-contained introduction to particle physics and related areas of cosmology. It bridges the gap between non-technical popular accounts and textbooks for advanced students. The book concentrates on presenting the subject from the modern perspective of quarks, leptons and the forces between them. This book will be of interest to students, teachers and general science readers interested in fundamental ideas of modern physics.

Three Roads To Quantum Gravity

Author : Lee Smolin
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"It would be hard to imagine a better guide to this difficult subject." -- Scientific American In Three Roads to Quantum Gravity, Lee Smolin provides an accessible overview of the attempts to build a final "theory of everything." He explains in simple terms what scientists are talking about when they say the world is made from exotic entities such as loops, strings, and black holes and tells the fascinating stories behind these discoveries: the rivalries, epiphanies, and intrigues he witnessed firsthand. "Provocative, original, and unsettling." -- The New York Review of Books "An excellent writer, a creative thinker." -- Nature

ULTIMATE SYMMETRY

Author : Mohamed Haj Yousef
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This is the third volume in the Single Monad Model of the Cosmos series. The second volume introduced the Duality of Time Theory, which provided elegant solutions to many persisting problems in physics and cosmology, including super-symmetry and matter-antimatter asymmetry. In addition to uniting the principles of Relativity and Quantum theories, this theory can also explain the psychical and spiritual domains; all based on the same discrete complex-time geometry. Super-symmetry, and quantum gravity, are realized only with the two complementary physical and psychical worlds, while the spiritual realm is governed by hyper-symmetry, which mirrors the previous two levels together, and all these three realms mirror the ultimate level of absolute oneness that describes the symmetry of the divine presence of God and His Beautiful Names and Attributes. This "ULTIMATE SYMMETRY" is a modern scientific account of the same ancient mystical, and greatly controversial, theory of the "Oneness of Being" that is often misinterpreted in terms of "pantheism", but it is indeed the concluding gnostic knowledge of God and creation. Otherwise, how can we understand the origin of the cosmos, with both or either of its corporeal and incorporeal realms, without referring to its Originator! In the literal sense, ultimate or perfect symmetry may seem to be trivial, because it means that all possible transformations in such a symmetric system are invariant. The system we are talking about here is the whole Universe that we are watching and experiencing its immense and sometimes shattering changes every moment of time. Yet many great philosophers, such as Parmenides and Ibn al-Arabi, maintained their firm belief that reality is unchanging One and existence is timeless and uniform, while all apparent changes are mere illusions induced by or in our sensory faculties. Nevertheless, since we are living inside it, this illusion is as good as reality for us. Therefore, we still need to explain how the Universe is being formulated. Only when are able to transcend beyond the current chest of time, we shall discover that we were living a dream, and we shall be able to see the whole Universe as unchanging symmetry. The Single Monad Model and the resulting Duality of Time Theory provide the link between this apparent dynamic multiplicity of creation and the ultimate metaphysical oneness. In fact, the complex-time geometry concludes that we are imagining the reality because we are observing it from a genuinely imaginary time dimension. Since the ultimate reality is One, we cannot view it from outside, because there is none! Thus, as we quoted in the Introduction, in the Book of Theophanies, Ibn al-Arabi ascribes to God as saying: Listen, O My beloved! I am the conclusive entity of the World. I am the center of the circle (of existence) and its circumference. I am its simple point and its compound whole. I am the Word descending between heaven and earth. I have created perceptions for you only to perceive Me. If you then perceive Me, you perceive yourself. But don't ever crave to perceive Me through yourself! It is through My Eyes that you see Me and see yourself. But through your own eyes you can never see Me! This Theophany of Perfection summarizes the Ultimate Symmetry between the single point and the encompassing space. It also summarizes the instantaneous process of creation, or re-creation, which is breaking this symmetry into the two arrows of time, that produce particles and anti-particles, and then restoring it through each subsequent annihilation. This reunion is also the fundamental cause of motion, which is formulated as the Principle of Love that leads to the stationary action that is the initial assumption of most physics theories including Relativity and Quantum Field theories.

Victorian Science in Context

Author : Bernard Lightman
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Victorians were fascinated by the flood of strange new worlds that science was opening to them. Exotic plants and animals poured into London from all corners of the Empire, while revolutionary theories such as the radical idea that humans might be descended from apes drew crowds to heated debates. Men and women of all social classes avidly collected scientific specimens for display in their homes and devoured literature about science and its practitioners. Victorian Science in Context captures the essence of this fascination, charting the many ways in which science influenced and was influenced by the larger Victorian culture. Contributions from leading scholars in history, literature, and the history of science explore questions such as: What did science mean to the Victorians? For whom was Victorian science written? What ideological messages did it convey? The contributors show how practical concerns interacted with contextual issues to mold Victorian science—which in turn shaped much of the relationship between modern science and culture.

Unpacking Duchamp

Author : Dalia Judovitz
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"Transit, transitional, transition: Dalia Judovitz catches Marcel Duchamp on the run with his art in a suitcase and his thought all boxed and ready to go. . . . She demonstrates how the theme of transition, reappearing from work to work, makes each piece reproduce some other piece, while all continue to exemplify an original which can no longer be found and which has no creator."—Jean-François Lyotard

Technical Shop Mathematics

Author : John G. Anderson
File Size : 70.63 MB
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Contains a larger, easier to read two-color format with improved flow between topics.Provides clear explanations that build on the strengths which have made this book a standard for more than 25 years.Includes an introduction to Statistics which is needed for many technical trades and not offered in most similar texts.Presents sufficient material for a very full one-semester course or for two standard lecture courses.

Connections

Author : Jay Kappraff
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The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in “Mathematics, Chemistry, and Astronomy — Professional and Reference” in 1991. It has been a comprehensive reference in design science, bringing together in a single volume material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry. The book presents both theory and practice and has more than 750 illustrations. It is suitable for research in a variety of fields and as an aid to teaching a course in the mathematics of design. It has been influential in stimulating the burgeoning interest in the relationship between mathematics and design. In the second edition there are five new sections, supplementary, as well as a new preface describing the advances in design science since the publication of the first edition. Contents: Proportion in ArchitectureSimilarityThe Golden MeanGraphsTilings with PolygonsTwo-Dimensional Networks and LatticesPolyhedra: Platonic SolidsTransformation of the Platonic Solids ITransformation of the Platonic Solids IIPolyhedra: Space FillingIsometries and MirrorsSymmetry of the Plane Readership: Polytechnic students, architects, designers, mathematicians and general readers. Keywords:Design Science;Art;Architecture;Geometry;Polyhedra;Tilings;Graph Theory;Symmetry;Proportion;Golden MeanReviews: “This book, on the mathematics of natural and artful form, is a lively new entrant to the small shelf of those fine works.” Scientific American “If I had only one book in my library to which I refer for mathematics questions in art and architecture, this would be the one.” Nexus Network Journal “A worthy volume rediscovers the golden mean for readers in the postgeometry generation.” BYTE “… Kappraff's book is nothing less than the first textbook of design science.”Bulletin of the Buckminster Fuller Institute “This is no less than an early and strong move toward implementing Buckminster Fuller's call for a Comprehensive Anticipatory Design Science. Even a less-than-rigorous reading will convince you that something important is being presented here.” Whole Earth Review “For the visually oriented person with a hunger to understand pattern, Connections can be a bridge to a new world.” American Journal of Physics “A spectacular presentation of design science — ‘the grammar of space’ — that explores with rich details instances of similarity, proportion, tilings, graphs, lattices, polyhedra, isometries, and symmetry in art, architecture, engineering, and science. Punctuated with exercises and problems (thus making the monograph useful as a course or seminar text); illustrated with over 200 figures; supported by an extensive multi-disciplinary bibliography that is well-referenced to the text. A superb option for interdisciplinary seminars.” American Mathematical Monthly