Author: Kimberly Elam Publisher: Princeton Architectural Press ISBN: 9781568982496 Category : Architecture Languages : en Pages : 130
Book Description
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.
Author: Kimberly Elam Publisher: Princeton Architectural Press ISBN: 9781616890360 Category : Architecture Languages : en Pages : 0
Book Description
At last, a mathematical explanation of how art works presented in a manner we can all understand. Kimberly Elam takes the reader on a geometrical journey, lending insight and coherence to the design process by exploring the visual relationships that have foundations in mathematics as well as the essential qualities of life. Geometry of Design takes a close look at a broad range of twentieth-century examples of design, architecture, and illustration (from the Barcelona chair to the paintings of Georges Seurat, from the Braun hand blender to the Conico kettle), revealing underlying geometric structures in their compositions. Explanations and techniques of visual analysis make the inherent mathematical relationships evident and a must-have for anyone involved in art, design, or architecture graphic arts. The book focuses not only on the classic systems of proportioning, such as the golden section and root rectangles, but also on less well known proportioning systems such as the Fibonacci Series. Through detailed diagrams these geometric systems are brought to life giving an effective insight into the design process.
Author: Kimberly Elam Publisher: Chronicle Books ISBN: 1616893478 Category : Design Languages : en Pages : 122
Book Description
Although grid systems are the foundation for almost all typographic design, they are often associated with rigid, formulaic solutions. However, the belief that all great design is nonetheless based on grid systems (even if only subverted ones) suggests that few designers truly understand the complexities and potential riches of grid composition.
Author: Gijs J. O. Vermeer Publisher: SEG Books ISBN: 1560803037 Category : Science Languages : en Pages : 369
Book Description
Details the properties of 3D acquisition geometries and shows how they naturally lead to the 3D symmetric sampling approach to 3D survey design. Many examples are used to illustrate choices of acquisition parameters, and the link between survey parameters and noise suppression as well as imaging is an intrinsic part of the contents.
Author: David B. Dooner Publisher: John Wiley & Sons ISBN: 9780471045977 Category : Technology & Engineering Languages : en Pages : 470
Book Description
Describing a dynamic new approach to the design, manufacture and evaluation of gears, The Kinematic Geometry of Gearing is an indispensable tool of the trade for gear and power transmission engineers and tribologists. It presents an entirely new and comprehensive methodology for the design and manufacture of virtually all types of toothed bodies for general function transmission. The authors develop, from first principles, the kinematic relationships necessary to design and manufacture circular and non-circular gears and other contact-type motion/force transmission mechanisms. They also demonstrate--with the help of the enclosed software--how the user specifications can be implemented in an interactive PC environment such that gear pairs and cutter pairs can be designed concurrently. The revolutionary approach outlined by Professors Dooner and Seireg is based on mathematical derivations from various theories of kinematic geometry, especially the screw theory. This approach arms engineers and tribologists with a powerful new tool for enhancing the performance of conventional gears mounted on parallel or non-parallel axes. Furthermore, it has been proven capable of greatly facilitating the design and manufacture of new devices, revealing heretofore unexplained phenomena which currently hinder the advancement of the gearing art beyond application to constant speed transmission. It also provides a means of developing and manufacturing tools and gear forms which were previously difficult to conceptualize or implement. The Kinematic Geometry of Gearing is divided into three sections, with the first being devoted to introducing the basic concepts and various types of toothed motion/force transmission mechanisms. Part II builds upon those concepts to develop a comprehensive methodology that can be applied to the design and manufacture of various types of gears and motion function generators. Part III discusses the design procedure itself. The authors supply a number of simplified design formulas, and, with the help of numerous examples, they clearly illustrate the capabilities of this versatile new approach to the integrated, interactive CAD/CAM of gear pairs and their production process. This groundbreaking book presents an entirely new and comprehensive methodology for the design, manufacture and evaluation of gears and virtually all other types of toothed motion/force transmission mechanisms. In it, the authors develop the kinematic relationships necessary to design and manufacture gear pairs and, with the help of the enclosed software, demonstrate how those relationships can utilize the design specification in an interactive PC environment to produce the design and manufacturing information and performance characteristics concurrently. A powerful new tool for evaluating and enhancing the performance of gear pairs and dealing with previously unexplained phenomena * An evolutionary leap in the design and manufacture of gear pairs provides a method for developing and manufacturing tools and gear forms which were previously difficult to conceptualize or implement * Design formulas and numerous real-world examples clearly illustrate the capabilities of this versatile new approach * Enclosed disk demonstrates to designers how to implement the described method into a fully integrated CAD and CAM process
Author: Michel Marie Deza Publisher: Springer ISBN: 3642042953 Category : Mathematics Languages : en Pages : 580
Book Description
Cuts and metrics are well-known objects that arise - independently, but with many deep and fascinating connections - in diverse fields: in graph theory, combinatorial optimization, geometry of numbers, combinatorial matrix theory, statistical physics, VLSI design etc. This book presents a wealth of results, from different mathematical disciplines, in a unified comprehensive manner, and establishes new and old links, which cannot be found elsewhere. It provides a unique and invaluable source for researchers and graduate students. From the Reviews: "This book is definitely a milestone in the literature of integer programming and combinatorial optimization. It draws from the Interdisciplinarity of these fields [...]. With knowledge about the relevant terms, one can enjoy special subsections without being entirely familiar with the rest of the chapter. This makes it not only an interesting research book but even a dictionary. [...] The longer one works with it, the more beautiful it becomes." Optima 56, 1997.
Author: J. Michael McCarthy Publisher: Springer Science & Business Media ISBN: 1441978925 Category : Science Languages : en Pages : 466
Book Description
This book is an introduction to the mathematical theory of design for articulated mechanical systems known as linkages. The focus is on sizing mechanical constraints that guide the movement of a work piece, or end-effector, of the system. The function of the device is prescribed as a set of positions to be reachable by the end-effector; and the mechanical constraints are formed by joints that limit relative movement. The goal is to find all the devices that can achieve a specific task. Formulated in this way the design problem is purely geometric in character. Robot manipulators, walking machines, and mechanical hands are examples of articulated mechanical systems that rely on simple mechanical constraints to provide a complex workspace for the end- effector. The principles presented in this book form the foundation for a design theory for these devices. The emphasis, however, is on articulated systems with fewer degrees of freedom than that of the typical robotic system, and therefore, less complexity. This book will be useful to mathematics, engineering and computer science departments teaching courses on mathematical modeling of robotics and other articulated mechanical systems. This new edition includes research results of the past decade on the synthesis of multi loop planar and spherical linkages, and the use of homotopy methods and Clifford algebras in the synthesis of spatial serial chains. One new chapter on the synthesis of spatial serial chains introduces numerical homotopy and the linear product decomposition of polynomial systems. The second new chapter introduces the Clifford algebra formulation of the kinematics equations of serial chain robots. Examples are use throughout to demonstrate the theory.
Author: Benoit Mandelbrot Publisher: Echo Point Books & Media, LLC ISBN: 9781648370410 Category : Languages : en Pages : 0
Book Description
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.
Author: Georg Glaeser Publisher: Springer Nature ISBN: 3030613984 Category : Mathematics Languages : en Pages : 694
Book Description
This book returns geometry to its natural habitats: the arts, nature and technology. Throughout the book, geometry comes alive as a tool to unlock the understanding of our world. Assuming only familiarity with high school mathematics, the book invites the reader to discover geometry through examples from biology, astronomy, architecture, design, photography, drawing, engineering and more. Lavishly illustrated with over 1200 figures, all of the geometric results are carefully derived from scratch, with topics from differential, projective and non-Euclidean geometry, as well as kinematics, introduced as the need arises. The mathematical results contained in the book range from very basic facts to recent results, and mathematical proofs are included although not necessary for comprehension. With its wide range of geometric applications, this self-contained volume demonstrates the ubiquity of geometry in our world, and may serve as a source of inspiration for architects, artists, designers, engineers, and natural scientists. This new edition has been completely revised and updated, with new topics and many new illustrations.
Author: Mark de Berg Publisher: Springer Science & Business Media ISBN: 3662042452 Category : Computers Languages : en Pages : 370
Book Description
This introduction to computational geometry focuses on algorithms. Motivation is provided from the application areas as all techniques are related to particular applications in robotics, graphics, CAD/CAM, and geographic information systems. Modern insights in computational geometry are used to provide solutions that are both efficient and easy to understand and implement.
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Author: Kimberly Elam
Author: Kimberly Elam
Author: Kimberly Elam
Author: Gijs J. O. Vermeer
Author: David B. Dooner
Author: Michel Marie Deza
Author: J. Michael McCarthy
Author: Benoit Mandelbrot
Author: Georg Glaeser
Author: Mark de Berg