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: 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: 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: Arseny V. Akopyan Publisher: Createspace Independent Publishing Platform ISBN: 9781548710781 Category : Geometry Languages : en Pages : 0
Book Description
This book is a collection of theorems and problems in classical Euclidean geometry formulated in figures. It is intended for advanced high school and undergraduate students, teachers and all who like classical geometry. This is second, extended edition.
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: Saul Stahl Publisher: John Wiley & Sons ISBN: 1118546148 Category : Mathematics Languages : en Pages : 430
Book Description
An easily accessible introduction to over three centuries of innovations in geometry Praise for the First Edition “. . . a welcome alternative to compartmentalized treatments bound to the old thinking. This clearly written, well-illustrated book supplies sufficient background to be self-contained.” —CHOICE This fully revised new edition offers the most comprehensive coverage of modern geometry currently available at an introductory level. The book strikes a welcome balance between academic rigor and accessibility, providing a complete and cohesive picture of the science with an unparalleled range of topics. Illustrating modern mathematical topics, Introduction to Topology and Geometry, Second Edition discusses introductory topology, algebraic topology, knot theory, the geometry of surfaces, Riemann geometries, fundamental groups, and differential geometry, which opens the doors to a wealth of applications. With its logical, yet flexible, organization, the Second Edition: • Explores historical notes interspersed throughout the exposition to provide readers with a feel for how the mathematical disciplines and theorems came into being • Provides exercises ranging from routine to challenging, allowing readers at varying levels of study to master the concepts and methods • Bridges seemingly disparate topics by creating thoughtful and logical connections • Contains coverage on the elements of polytope theory, which acquaints readers with an exposition of modern theory Introduction to Topology and Geometry, Second Edition is an excellent introductory text for topology and geometry courses at the upper-undergraduate level. In addition, the book serves as an ideal reference for professionals interested in gaining a deeper understanding of the topic.
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Author: Kimberly Elam
Author: Kimberly Elam
Author: Michel Marie Deza
Author: David B. Dooner
Author: Arseny V. Akopyan
Author: Kimberly Elam
Author: Gijs J. O. Vermeer
Author: John Oprea
Author: I. D. Faux
Author: Saul Stahl