The Geometrical Foundation of Natural Structure

The Geometrical Foundation of Natural Structure PDF Author: Robert Williams
Publisher:
ISBN:
Category :
Languages : en
Pages : 265

Get Book Here

Book Description

The Geometrical Foundation of Natural Structure

The Geometrical Foundation of Natural Structure PDF Author: Robert Williams
Publisher:
ISBN:
Category :
Languages : en
Pages : 265

Get Book Here

Book Description


Geometrical Foundation of Natural Structure

Geometrical Foundation of Natural Structure PDF Author: Robert Williams
Publisher:
ISBN: 9780982346549
Category :
Languages : en
Pages : 524

Get Book Here

Book Description
This Unabridged Three Volume Set contains the extensive geometry-cosmology explorations of Robert Williams. Each book is signed by the author.

The Geometry of Natural Structure

The Geometry of Natural Structure PDF Author: Robert Williams
Publisher:
ISBN: 9780982346518
Category : Design
Languages : en
Pages : 263

Get Book Here

Book Description
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.

The Geometrical Foundation of Natural Structure

The Geometrical Foundation of Natural Structure PDF Author: Robert Williams
Publisher:
ISBN:
Category : Art
Languages : en
Pages : 290

Get Book Here

Book Description


New Foundations for Physical Geometry

New Foundations for Physical Geometry PDF Author: Tim Maudlin
Publisher:
ISBN: 0198701306
Category : Mathematics
Languages : en
Pages : 374

Get Book Here

Book Description
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.

Fractal Architecture

Fractal Architecture PDF Author: James Harris
Publisher: UNM Press
ISBN: 0826352014
Category : Architectural design
Languages : en
Pages : 422

Get Book Here

Book Description
Throughout history, nature has served as an inspiration for architecture and designers have tried to incorporate the harmonies and patterns of nature into architectural form. Alberti, Charles Renee Macintosh, Frank Lloyd Wright, and Le Courbusier are just a few of the well- known figures who have taken this approach and written on this theme. With the development of fractal geometry--the study of intricate and interesting self- similar mathematical patterns--in the last part of the twentieth century, the quest to replicate nature's creative code took a stunning new turn. Using computers, it is now possible to model and create the organic, self-similar forms of nature in a way never previously realized. In Fractal Architecture, architect James Harris presents a definitive, lavishly illustrated guide that explains both the "how" and "why" of incorporating fractal geometry into architectural design.

Structure in Nature Is a Strategy for Design

Structure in Nature Is a Strategy for Design PDF Author: Peter Pearce
Publisher: MIT Press
ISBN: 9780262660457
Category : Architecture
Languages : en
Pages : 268

Get Book Here

Book Description
"The structural designs that occur in nature - in molecules, in crystals, in living cells - appear in this fully illustrated book as a source of inspiration and study of design of man-made structures" -- BOOK JACKET.

Geometric Foundations Of Design: Old And New

Geometric Foundations Of Design: Old And New PDF Author: Jay Kappraff
Publisher: World Scientific
ISBN: 9811219729
Category : Design
Languages : en
Pages : 368

Get Book Here

Book Description
This book is meant to serve either as a textbook for an interdisciplinary course in Mathematics of Design, or as a trade book for designers. It will also be of interest for people interested in recreational mathematics showing the connection between mathematics and design. Topics from the book can also be adapted for use in pre-college mathematics. Each chapter will provide the user with ideas that can be incorporated in a design. Background materials will be provided to show the reader the mathematical principles that lie behind the designs.

Geometric Measure Theory

Geometric Measure Theory PDF Author: Frank Morgan
Publisher: Academic Press
ISBN: 0128045272
Category : Mathematics
Languages : en
Pages : 274

Get Book Here

Book Description
Geometric Measure Theory: A Beginner's Guide, Fifth Edition provides the framework readers need to understand the structure of a crystal, a soap bubble cluster, or a universe. The book is essential to any student who wants to learn geometric measure theory, and will appeal to researchers and mathematicians working in the field. Brevity, clarity, and scope make this classic book an excellent introduction to more complex ideas from geometric measure theory and the calculus of variations for beginning graduate students and researchers. Morgan emphasizes geometry over proofs and technicalities, providing a fast and efficient insight into many aspects of the subject, with new coverage to this edition including topical coverage of the Log Convex Density Conjecture, a major new theorem at the center of an area of mathematics that has exploded since its appearance in Perelman's proof of the Poincaré conjecture, and new topical coverage of manifolds taking into account all recent research advances in theory and applications. Focuses on core geometry rather than proofs, paving the way to fast and efficient insight into an extremely complex topic in geometric structures Enables further study of more advanced topics and texts Demonstrates in the simplest possible way how to relate concepts of geometric analysis by way of algebraic or topological techniques Contains full topical coverage of The Log-Convex Density Conjecture Comprehensively updated throughout

Energy Landscapes

Energy Landscapes PDF Author: David Wales
Publisher: Cambridge University Press
ISBN: 9780521814157
Category : Science
Languages : en
Pages : 696

Get Book Here

Book Description
A self-contained account of energy landscape theory aimed at graduate students and researchers.