This book covers recent achievements on the ever-expanding field of Geometry and Graphics on both analogical and digital fronts, from theoretical investigations to a broad range of applications, new teaching methodologies, and historical aspects. It is from 20th International Conference on Geometry and Graphics (ICGG2022), a series of conference that started in 1978 and promoted by International Society for Geometry and Graphics, which aims to foster international collaboration and stimulate the scientific research and teaching innovations in the multidisciplinary field. The contents of the book are organized in: Theoretical Geometry and Graphics; Applied Geometry and Graphics; Engineering Computer Graphics; Graphics Education; Geometry and Graphics in History, and are intent for the academics, researchers, and professionals in architecture, engineering, industrial design, mathematics, and arts.

In the years 1942 to 1948, Le Corbusier developed a system of measurements which became known as “Modulor”. Based on the Golden Section and Fibonacci numbers and also using the physical dimensions of the average human, “Modulor” is a sequence of measurements which Le Corbusier used to achieve harmony in his architectural compositions. Le Modulor was published in 1950 and after meeting with success, Le Corbusier went on to publish Modulor 2 in 1955. In many of Le Corbusier’s most notable buildings, including the Chapel at Ronchamp and the Unité d’habitation, evidence of his Modulor system can be seen. These two volumes form an important and integral part of Le Corbusier’s theoretical writings.

A superb visual reference to the principles of architecture Now including interactive CD-ROM! For more than thirty years, the beautifully illustrated Architecture: Form, Space, and Order has been the classic introduction to the basic vocabulary of architectural design. The updated Third Edition features expanded sections on circulation, light, views, and site context, along with new considerations of environmental factors, building codes, and contemporary examples of form, space, and order. This classic visual reference helps both students and practicing architects understand the basic vocabulary of architectural design by examining how form and space are ordered in the built environment.? Using his trademark meticulous drawing, Professor Ching shows the relationship between fundamental elements of architecture through the ages and across cultural boundaries. By looking at these seminal ideas, Architecture: Form, Space, and Order encourages the reader to look critically at the built environment and promotes a more evocative understanding of architecture. In addition to updates to content and many of the illustrations, this new edition includes a companion CD-ROM that brings the book's architectural concepts to life through three-dimensional models and animations created by Professor Ching.

A highly original study of one of the most influential architects of the 20th century.

A serious and original study of the beginnings and development of modernism in which the pictorial aspects are designed to aid in the communication of the author's closely reasoned formulations. Let it be said at once that the format of this work is richly handsome: it is a two-volume boxed set comprising 844 pages and well over 1,000 high-quality illustrations, and it reflects throughout its publisher's conviction that good design is an essential, not superficial, part of bookmaking. Beyond that, it should be emphasized that this work is not another facile cultural tour of modern architecture. It is a serious and original study of the beginnings and development of modernism in which the pictorial aspects are designed to aid in the communication of the author's closely reasoned formulations, rather than to gloss over a lack of substantive content. The book is a translation of the third Italian edition, published in 1966. Benevolo, who is on the faculty of architecture in Venice, has earned an international reputation as a historian of architecture and town planning, and his publications embrace the span of time from the Renaissance to the foreseeable future. One such publication, The Origins of Modern Town Planning (The MIT Press, 1967), may be read as a prelude to the present work as well as an independent contribution. Perhaps more than any other architectural historian in our time, Benevolo has made a determined effort to place developments in design and planning in their proper social and political settings. Indeed, the author argues that the development of the modern movement in architecture was determined, not by aesthetic formalisms, but largely by the social changes that have occurred since about 1760: "After the middle of the eighteenth century, without the continuity of formal activity being in any way broken, indeed while architectural language seems to be acquiring a particular coherence, the relations between architect and society began to change radically.... New material and spiritual needs, new ideas and modes of procedure arise both within and beyond the traditional limits, and finally they run together to form a new architectural synthesis that is completely different from the old one. In this way it is possible to explain the birth of modern architecture, which otherwise would seem completely incomprehensible...." This second volume is concerned with the modern movement proper, from 1914 to 1966. The author emphasizes the unity of the movement, rejecting the usual treatment that allots to the individual architects separate and unconnected biographical accounts.Benevolo remarks at one point, "When one talks about modern architecture one must bear in mind the fact that it implies not only a new range of forms, but also a new way of thinking, whose consequences have not yet all been calculated." His main concern is to provide a more exact calculation of those consequences.