Form Geometry Structure

Form Geometry Structure

Author: Daniela Bertol

Publisher:

Published: 2011

Total Pages: 523

ISBN-13: 9781934493113

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"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.


The Geometry of Natural Structure

The Geometry of Natural Structure

Author: Robert Williams

Publisher:

Published: 2009-01-01

Total Pages: 263

ISBN-13: 9780982346518

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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.


Shape

Shape

Author: Jordan Ellenberg

Publisher: Penguin

Published: 2021-05-25

Total Pages: 481

ISBN-13: 1984879065

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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.


Molecular Geometry

Molecular Geometry

Author: Alison Rodger

Publisher: Butterworth-Heinemann

Published: 2014-05-16

Total Pages: 203

ISBN-13: 1483106039

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Molecular Geometry discusses topics relevant to the arrangement of atoms. The book is comprised of seven chapters that tackle several areas of molecular geometry. Chapter 1 reviews the definition and determination of molecular geometry, while Chapter 2 discusses the unified view of stereochemistry and stereochemical changes. Chapter 3 covers the geometry of molecules of second row atoms, and Chapter 4 deals with the main group elements beyond the second row. The book also talks about the complexes of transition metals and f-block elements, and then covers the organometallic compounds and transition metal clusters. The last chapter tackles the consequences of small, local variations in geometry. The text will be of great use to chemists who primarily deal with the properties of molecules and atoms.


Geometry in Architecture

Geometry in Architecture

Author: Clovis Heimsath

Publisher: University of Texas Press

Published: 2002-07-15

Total Pages: 188

ISBN-13: 9780292731455

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"Geometry in Architecture, a revised edition of Pioneer Texas Buildings, juxtaposes the historic structures with works by twenty contemporary architects who are inspired by the pioneer tradition to show how seamlessly the basic geometries translate from one era to another. As in the earlier book, sketches and brief commentary by Clovis Heimsath explain how squares, triangles, and circles take shape in the cylindrical forms that comprise houses and other buildings. Then black and white photographs, the heart of the book, illustrate these geometric forms in historic and modern buildings."--BOOK JACKET.


New Foundations for Physical Geometry

New Foundations for Physical Geometry

Author: Tim Maudlin

Publisher:

Published: 2014-02

Total Pages: 374

ISBN-13: 0198701306

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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.


Geometric Structures in Nonlinear Physics

Geometric Structures in Nonlinear Physics

Author: Robert Hermann

Publisher: Math Science Press

Published: 1991

Total Pages: 363

ISBN-13: 9780915692422

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VOLUME 26 of INTERDISCIPLINARY MATHEMATICS, series expounding mathematical methodology in Physics & Engineering. TOPICS: Differential & Riemannian Geometry; Theories of Vorticity Dynamics, Einstein-Hilbert Gravitation, Colobeau-Rosinger Generalized Function Algebra, Deformations & Quantum Mechanics of Particles & Fields. Ultimate goal is to develop mathematical framework for reconciling Quantum Mechanics & concept of Point Particle. New ideas for researchers & students. Order: Math Sci Press, 53 Jordan Road, Brookline, MA 02146. (617) 738-0307.


Chemistry 2e

Chemistry 2e

Author: Paul Flowers

Publisher:

Published: 2019-02-14

Total Pages: 0

ISBN-13: 9781947172623

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Chemistry 2e is designed to meet the scope and sequence requirements of the two-semester general chemistry course. The textbook provides an important opportunity for students to learn the core concepts of chemistry and understand how those concepts apply to their lives and the world around them. The book also includes a number of innovative features, including interactive exercises and real-world applications, designed to enhance student learning. The second edition has been revised to incorporate clearer, more current, and more dynamic explanations, while maintaining the same organization as the first edition. Substantial improvements have been made in the figures, illustrations, and example exercises that support the text narrative. Changes made in Chemistry 2e are described in the preface to help instructors transition to the second edition.


Sacred Geometry

Sacred Geometry

Author: Stephen Skinner

Publisher: Sterling Publishing Company, Inc.

Published: 2009

Total Pages: 164

ISBN-13: 9781402765827

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A fascinating and inspirational look at the vital link between the hidden geometrical order of the universe, geometry in nature, and the geometry of the man-made world. The Da Vinci Code has awakened the public to the powerful and very ancient idea that religious truths and mathematical principles are intimately intertwined. Sacred Geometry offers an accessible way of understanding how that connection is revealed in nature and the arts. Over the centuries, temple builders have relied on magic numbers to shape sacred spaces, astronomers have used geometry to calculate holy seasons, and philosophers have observed the harmony of the universe in the numerical properties of music. By showing how the discoveries of mathematics are manifested over and over again in biology and physics, and how they have inspired the greatest works of art, this illuminating study reveals the universal principles that link us to the infinite.