Form Geometry Structure

Form Geometry Structure
Author: Daniela Bertol
Publisher:
Total Pages: 0
Release: 2011
Genre: Architectural design
ISBN: 9781934493137

"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 website.

Advances in Architectural Geometry 2010

Advances in Architectural Geometry 2010
Author: Cristiano Ceccato
Publisher: Birkhäuser
Total Pages: 242
Release: 2016-12-05
Genre: Technology & Engineering
ISBN: 3990433717

No detailed description available for "Advances in Architectural Geometry 2010".

The Geometry of Natural Structure

The Geometry of Natural Structure
Author: Robert Williams
Publisher:
Total Pages: 263
Release: 2009-01-01
Genre: Design
ISBN: 9780982346518

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
Total Pages: 481
Release: 2021-05-25
Genre: Mathematics
ISBN: 1984879065

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
Total Pages: 203
Release: 2014-05-16
Genre: Science
ISBN: 1483106039

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.

Modern Geometric Structures and Fields

Modern Geometric Structures and Fields
Author: Сергей Петрович Новиков
Publisher: American Mathematical Soc.
Total Pages: 658
Release: 2006
Genre: Mathematics
ISBN: 0821839292

Presents the basics of Riemannian geometry in its modern form as geometry of differentiable manifolds and the important structures on them. This book shows that Riemannian geometry has a great influence to several fundamental areas of modern mathematics and its applications.

Structure and Form in Design

Structure and Form in Design
Author: Michael Hann
Publisher: A&C Black
Total Pages: 217
Release: 2014-02-13
Genre: Technology & Engineering
ISBN: 1472584317

This book provides a critical examination of structure and form in design, covering a range of topics of great value to students and practitioners engaged in any of the specialist decorative arts and design disciplines. The complexities of two-dimensional phenomena are explained and illustrated in detail, while various three-dimensional forms are also discussed. In the context of the decorative arts and design, structure is the underlying framework, and form the resultant, visible, two- or three-dimensional outcome of the creative process. Whether hidden or visually detectable in the final design, structure invariably determines whether or not a design is successful in terms of both its aesthetics and its practical performance. Hann successfully identifies various geometric concepts, and presents and discusses a number of simple guidelines to assist the creative endeavours of both accomplished and student practitioners, teachers and researchers.

New Foundations for Physical Geometry

New Foundations for Physical Geometry
Author: Tim Maudlin
Publisher:
Total Pages: 374
Release: 2014-02
Genre: Mathematics
ISBN: 0198701306

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.

The Mathematical Structure of Stable Physical Systems

The Mathematical Structure of Stable Physical Systems
Author: Dr. Martin Concoyle
Publisher: Trafford Publishing
Total Pages: 701
Release: 2014-01-16
Genre: Education
ISBN: 149072365X

This book is an introduction to the simple math patterns used to describe fundamental, stable spectral-orbital physical systems (represented as discrete hyperbolic shapes), the containment set has many-dimensions, and these dimensions possess macroscopic geometric properties (which are also discrete hyperbolic shapes). Thus, it is a description which transcends the idea of materialism (ie it is higher-dimensional), and it can also be used to model a life-form as a unified, high-dimension, geometric construct, which generates its own energy, and which has a natural structure for memory, where this construct is made in relation to the main property of the description being, in fact, the spectral properties of both material systems and of the metric-spaces which contain the material systems, where material is simply a lower dimension metric-space, and where both material-components and metric-spaces are in resonance with the containing space. Partial differential equations are defined on the many metric-spaces of this description, but their main function is to act on either the, usually, unimportant free-material components (to most often cause non-linear dynamics) or to perturb the orbits of the, quite often condensed, material trapped by (or within) the stable orbits of a very stable hyperbolic metric-space shape.