In celebration of the 2009 International Year of Astronomy, this issue of the Nexus Network Journal is devoted to relationships between astronomy, mathematics and architecture. Ancient cultures looked to the heavens in order to identify timeless principles for their own creations. Knowledge gained in astronomy was transformed into culture through architecture and design. Papers in this issue look at how astronomy influenced architecture and urban design.

Nexus Network Journal 12,2: Architecture and Mathematics (Volume 12).

From ancient to modern, architects have looked for fundamental underlying principles of geometry and proportion on which to found their designs. Such principles not only provide an order for the formal elements, they ground the architecture in timeless values and provide an order for the formal elements, they ground the architecture in timeless values and provide a source of cultural meaning. This book illustrates the use of fundamental principles of geometry and proportion in two ancient cultures, the Bronze Age and the Roman Age, as well as in twentieth-century North America.

Leonardo da Vinci was well aware of the fundamental importance of mathematics for architecture. This book examines Leonardo’s knowledge of theoretical mathematics, explores how he used concepts of geometry in his designs for architectural projects, and reports on a real-life construction project using Leonardo’s principles. Authors include Sylvie Duvernoy, Kim Williams, Rinus Roelofs, Biagio Di Carlo, Mark Reynolds, João Pedro Xavier, Vesna Petresin, Christopher Glass, and Jane Burry.

This volume features a collection of papers dedicated to "Canons of Form-Making", in honor of the 500th anniversary of the birth of architect Andrea Palladio (1508-1580). Theorist as well as practitioner, Palladio's architecture was based on well-defined canons that he had gleaned from studying the treatises as well as the remains of architecture from antiquity. Palladio himself left to posterity not only his large corpus of built works, but his Quattro libri d'architettura. Three of the papers in this issue are specifically about Palladio and his work. The other papers deal with canons of form-making, ancient and contemporary.

Baroque architect and mathematician Guarino Guarini is the subject of this issue of the Nexus Network Journal. A group of international scholars were invited to contribute papers that shed light on the unanswered questions in several areas: Baroque architecture in general and Guarini’s architecture in particular; philosophy; history of structural mechanics; mathematics and history of mathematics, cosmology. As always, the NNJ takes an interdisciplinary approach to the broad range of subjects that Guarini concerned himself with, thus the final results will add significantly to our understanding of how Guarini’s actual practical and technical processes were informed by knowledge of his multifaceted scientific and philosophical interests.

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.

The Winter 2012 (vol. 14 no. 1) issue of the Nexus Network Journal is dedicated to the theme “Architecture, Systems Research and Computational Sciences”. This is an outgrowth of the session by the same name which took place during the eighth international, interdisciplinary conference “Nexus 2010: Relationships between Architecture and Mathematics, held in Porto, Portugal, in June 2010. Today computer science is an integral part of even strictly historical investigations, such as those concerning the construction of vaults, where the computer is used to survey the existing building, analyse the data and draw the ideal solution. What the papers in this issue make especially evident is that information technology has had an impact at a much deeper level as well: architecture itself can now be considered as a manifestation of information and as a complex system. The issue is completed with other research papers, conference reports and book reviews.

This issue is dedicated to Mechanics in Architecture. It explores the latest findings in the science of structural mechanics, including the behavior of structures, internal forces, and deformation. It also explores the development of new structural systems designed to resist thrusts resulting from new architectural forms. Some of the papers published in this issue were presented at the Nexus 2006 during a special session dedicated to mechanics.

The Winter 2012 (vol. 14 no. 3) issue of the Nexus Network Journal features seven original papers dedicated to the theme “Digital Fabrication”. Digital fabrication is changing architecture in fundamental ways in every phase, from concept to artifact. Projects growing out of research in digital fabrication are dependent on software that is entirely surface-oriented in its underlying mathematics. Decisions made during design, prototyping, fabrication and assembly rely on codes, scripts, parameters, operating systems and software, creating the need for teams with multidisciplinary expertise and different skills, from IT to architecture, design, material engineering, and mathematics, among others The papers grew out of a Lisbon symposium hosted by the ISCTE-Instituto Universitario de Lisboa entitled “Digital Fabrication – A State of the Art”. The issue is completed with four other research papers which address different mathematical instruments applied to architecture, including geometric tracing systems, proportional systems, descriptive geometry and correspondence analysis. The issue concludes with a book review.