Download or read book The Geometry of Natural Structure written by Robert Williams and published by . This book was released on 2009-01-01 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published by the McDonnell-Douglas Advanced Research Laboratories in 1969 with the title, Handbook of Structure, Research Communication 75, it became the most requested publication in the history of DARL. A significantly expanded version was published by Eudaemon Press in 1972 with the title Natural Structure: Toward a Form Language. The third edition appeared as a Dover Science Book Publication, titled, The Geometrical Foundation of Natural Structure beginning in 1979. In the forty years that The Geometry of Natural Structure has been available to the public, the work has continued to be a valuable resource tool for scientists, architects, and artists. The Geometry of Natural Structure is a comprehensive work on geometric form in space. A convenient and stimulating handbook for scientists and designers, it covers the regular and semi-regular polyhedra, their various symmetries, how they fit together to fill space, and other structural considerations. Beginning with an introduction that places geometric structure in its proper mathematical context, the author then presents a detailed description of the core geometric forms of natural structure: polygons, polyhedra, aggregations of spheres, and packings of polyhedra. Topics considered include: the inter-relationships among geometrical/ topological forms, the unit cell concept, Golden Section, surface area and volume relationships of polyhedra, sphere coverings, Euler's law, and polyhedra distortions. Mr. Williams concludes with a rewarding discussion of the methodologies by which forms can be generated: truncation, rotation-translation, augmentation-deletion, fistulation, and others. The many tables located through¬out the text are extremely valuable for reference.
Download or read book Geometrical Foundation of Natural Structure written by Robert Williams and published by . This book was released on 2015-07-01 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Unabridged Three Volume Set contains the extensive geometry-cosmology explorations of Robert Williams. Each book is signed by the author.
Download or read book The Geometrical Foundation of Natural Structure written by Robert Williams and published by . This book was released on 1979 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Geometrical Foundation of Natural Structure written by Robert Williams and published by . This book was released on 1979 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Curved Space Diamond Structure written by Peter Pearce and published by CreateSpace. This book was released on 2015-09-30 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Curved Space Structure, designed by Peter Jon Pearce, is derived from a comprehensive study of structure in nature, with a special interest in the geometry of atomic assemblies in crystals and patterns found in biomorphic form. This study was pursued with the aim of understanding the unity of formative principles exhibited by natural structure through spatial geometry. Nature universally manifests a principle of least energy where form can be considered a diagram of forces. In a very special way, the Curved Space Structure represents a 16 billion times enlargement of the diamond crystal, enabling children, and adults, to have an immersive experience with its spatial geometry. Not only that, the details of the construction methods of this structural assembly reveal a panoply of natural patterns including curved and minimal surfaces, tessellations, polygonal geometries, and applications of material science and technology. The name Curved Space was adopted as way of characterizing the spatial experience of engaging with these remarkable structures. There is no specific reference to Einstein's use of this term, although it certainly is implied. In June 1975 a Curved Space Structure was exhibited as part of the International Design Conference at Aspen, Colorado. This was the first public display of the Curved Space and served as a test assembly prior to the first permanent installation at the Brooklyn Children's Museum. There were three distinct structures that were installed at that museum in Brooklyn, New York, in August 1975. Unfortunately about 10 years later the museum was redesigned and the Curved Space installation was removed. One of the most important venues where a Curved Space Structure can still be found is the Hakone Open Air Museum in Japan. This amazing outdoor sculpture museum has had a Curved Space in its collection since 1978, when it was first installed. This structure was replaced and revised first in 1994 and then again in 2011. The Hakone Museum installation is largest single Curved Space Structure ever built. Although considered a work of sculpture, known as Peter Pearce's Diamond Sculpture, it has always been the intention of the Museum that children be able to access the structure. This structure has been extremely popular with the visitors to the Museum. The origins of the Curved Space system originated with Peter Jon Pearce's morphological research in 1965-66. This research explored natural structures as a theoretical basis for building system design. The emphasis of the this work involved the study of repeating geometric structures of the type characterized by the internal structure of crystals, as well as patterns of least energy exhibited by biomorphic structures in nature. Combining the study of minimal surfaces and repeating three-dimensional structures led to the Curved Space Structures. This work is comprehensively described in Pearce's book, Structure in Nature is a Strategy for Design, The MIT Press, 1978, 1990. Although out of print, the book is still available from some sources.
Download or read book Form Geometry Structure written by Daniela Bertol and published by . This book was released on 2011 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Form Geometry Structure is an architecture and generative design guide that introduces a scientific framework in the exploration of forms in nature and design. From their geometric definition to their structural potential, forms are created and transformed by simple computing algorithms following growth patterns found in nature. In the natural world, these geometric forms can provide great inspiration in the design of the man-made world. Although software independent, this book presents several digital models of parametric forms built in Bentley's generative design software GenerativeComponents. While the relationship between geometry and forces in nature has been explored for millennia, contemporary computational tools bring new insights and methodologies. Form Geometry Structure is beautifully illustrated and rigorously researched and will bridge the gap between art and science, bringing to contemporary terms the tradition of the treatises on art and architecture." -- Publisher's site.
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 New Foundations for Physical Geometry written by Tim Maudlin and published by . This book was released on 2014-02 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tim Maudlin sets out a completely new method for describing the geometrical structure of spaces, and thus a better mathematical tool for describing and understanding space-time. He presents a historical review of the development of geometry and topology, and then his original Theory of Linear Structures.
Download or read book Shape and Structure from Engineering to Nature written by Adrian Bejan and published by Cambridge University Press. This book was released on 2000-10-16 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seemingly universal geometric forms unite the flow systems of engineering and nature. In this groundbreaking book, Adrian Bejan considers the design and optimization of engineered systems and discovers a relationship to the generation of geometric form in natural systems. The idea that shape and structure spring from the struggle for better performance in both engineering and nature is the basis of his new constructal theory: the objective and constraints principle in engineering is the same mechanism underlying the geometry in natural flow systems. From heat exchangers to river channels, Bejan draws many parallels between the engineered and natural worlds. Numerous illustrations, examples, and homework problems make this an ideal text for engineering design courses. Its provocative ideas will also appeal to a broad range of readers in engineering, natural sciences, economics, and business.
Download or read book Shape written by Jordan Ellenberg and published by Penguin. This book was released on 2021-05-25 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.
Download or read book Geometry of Design written by Kimberly Elam and published by Princeton Architectural Press. This book was released on 2001 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work takes a close look at a broad range of 20th-century examples of design, architecture and illustration, revealing underlying geometric structures in their compositions.
Download or read book The Hidden Geometry of Life The Science and Spirituality of Nature written by Karen L. French and published by Duncan Baird Publishers. This book was released on 2014-05-10 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Encompassing nature, science, art, architecture, and spirituality, and illustrated with over 700 photographs and line drawings, The Hidden Geometry of Life illuminates the secret underpinnings of existence. In her trademark easy-to-understand style, mathematician Karen French shows how sacred geometry permeates every level of being, manifesting itself in simple shapes and numbers, music and sounds, light and color, even in the mysteries of creation itself. But these geometrical archetypes are more than the building blocks of reality: they are gateways to profound new levels of awareness.
Download or read book Geometry and Nature written by William Kingdon Clifford and published by American Mathematical Soc.. This book was released on 1997 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the outgrowth of a conference devoted to William K. Clifford entitled, "New Trends in Geometrical and Topological Methods", which was held at the University of Madeira in July and August 1995. The aim of the conference was to bring together active workers in fields linked to Clifford's work and to foster the exchange of ideas between mathematicians and theoretical physicists. Divided into 6 one-day sessions, each session was devoted to a specific aspect of Clifford's work. This volume is an attempt to bring the Clifford legacy in a new perspective to a larger community of mathematicians and physicists. New concepts, ideas, and results stemming from Clifford's work are discussed. Containing papers presented or submitted to the conference, each article is self-contained.
Download or read book A New Look at Geometry written by Irving Adler and published by Courier Corporation. This book was released on 2013-10-03 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Richly detailed survey of the evolution of geometrical ideas and development of concepts of modern geometry: projective, Euclidean, and non-Euclidean geometry; role of geometry in Newtonian physics, calculus, relativity. Over 100 exercises with answers. 1966 edition.
Download or read book Sacred Geometry of Nature written by Francene Hart and published by Simon and Schuster. This book was released on 2017-01-13 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fully illustrated inspirational art book from visionary painter Francene Hart • Includes more than 80 full-color reproductions of Hart’s intricate watercolor paintings and the stories behind them • Recounts the evolution of her art and her discovery of the hidden order of Nature that led to her masterful artistic integrations of Nature, Spirit, and Sacred Geometry • Explores how to tap into the energies provided by spirit guides and power animals, like Jaguar, Raven, Octopus, and Dolphin, and harness the intelligence of the heart for creative inspiration and vision Every one of us possesses the potential to receive visionary experiences and integrate them into our lives. Artists become visionaries by cultivating their instinctive creative spark and sharing their profound visions with the world. In this lavishly illustrated memoir, including more than 80 full-color reproductions of her intricate watercolor paintings and the stories behind them, Francene Hart recounts the evolution of her art from formative influences to her masterful integrations of Nature, Spirit, and Sacred Geometry. Opening with her early work on mandalas and her explorations of the work of Joseph Campbell and C. G. Jung, Hart explains how her first works of art were in response to the solitary life she led in the forest, where she discovered the hidden order of Nature. She reveals how she learned to center her artistic explorations on the intelligence of the heart rather than the intellect, utilizing the wisdom and imagery of Sacred Geometry, reverence for the natural environment, and the interconnectedness between all things as her inspirations. She describes the shamanic lessons that accompanied her discoveries and shaped her understanding of sacred relationships with the self, others, and Mother Earth. She explores how to tap into the energies provided by spirit guides and power animals, like Jaguar, Raven, Octopus, and Dolphin, and explains her profound affinity for the ocean, including her discovery of water consciousness in Hawaii. Offering chronicles of her inspiring travels and transformational encounters around the world, Hart shares her experiences at sacred sites in the Amazon, Central America, Egypt, England, Scotland, Paris, Cambodia, and the Himalayas and how these places influenced her art. Exploring what is revealed as inspiration arises, Spirit informs, and vision is transformed into art, Francene Hart’s journey offers a window into the secret order of Nature, the power of sacred symbols for evolving consciousness, and a visionary artistic path that perfectly blends the mathematical rigors of sacred geometry and the numinous.
Download or read book Space and Geometry in the Light of Physiological Psychological and Physical Inquiry written by Ernst Mach and published by . This book was released on 1906 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fiber Pathways of the Brain written by Jeremy D. Schmahmann and published by OUP USA. This book was released on 2009-02-11 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text is enriched throughout by close attention to functional aspects of the anatomical observations."--Jacket.
