Abstract. Call for Papers for Sessions and Round Tables for Nexus 2010, the eighth international interdisciplinary conference for architecture and mathematics, to take place 13-15 June 2010 in Porto, Portugal.

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Call for Papers:
Session and Round Table Topics

Carlos Ramos Pavilion, Alvaro Siza, Architect . Photograph by Clara Vale.

Nexus 2010

Sunday 13-Tuesday 15 June 2010

Faculty of Architecture (FAUP) and
Center of Mathematics (CMUP)/Faculty of Sciences (FCUP)
University of Porto
Porto, Portugal

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SESSION:
SHAPE AND SHAPE GRAMMARS

In 2010, forty years will have passed since the idea of writing grammars for shapes in the visual arts and mechanical engineering design was broached by two former MIT students of Chomsky and Minsky. Initially the idea was modelled on Chomsky's notions as Stiny wrote his doctoral thesis in systems science at UCLA, and Gips his in computer science at Stanford. Both theses were subsequently published by Birkhäuser in their interdisciplinary series. At the same time, Lionel March and Philip Steadman published The Geometry of Environment at the invitation of the Royal Institute of British Architects. While a paper by Gips and Stiny was known to the British couple, it only became available as their own book was at the proof stage. However, shortly after, March became the founding editor of Environment and Planning B and among its earliest papers were papers by Stiny, Gips and Mitchell (lately Dean of Architecture, MIT). March and Stiny have enjoyed conversations over shape matters ever since. E&PB, now Planning and Design, continues to carry the main weight of theoretical developments and applications in shape grammars. The theoretical foundations of shape grammars were fundamentally re-examined in Stiny's Shape -Talking about Seeing and Doing, The MIT Press, 2006. This book clearly demonstrates that Chomsky's theories as they apply to words are irrelevant in the world of shapes. March and Stiny's most recent collaboration is 'Shape Grammars' a special issue of Planning and Design published for the SIGGRAPH 2008 conference. It is timely to devote a session to a review of the achievements and future of this subject in 2010.

Deadline for submissions of abstracts: 1 August 2009
Please send paper proposals and brief CVs to session moderator:
Lionel March
Spring Studio
20 High Street
STRETHAM, Cambridgeshire, CB6 3JQ, UK
lmarch@ucla.edu



SESSION:
FROM MEDIAEVAL STONECUTTING TO PROJECTIVE GEOMETRY: FORMAL, SOCIAL AND EPISTEMOLOGICAL SHIFTS
Strictly speaking, there is no evidence for the use of orthogonal projection in Antiquity; of course, the depiction of objects lying on the same plane cannot be taken as a proof of the use of any kind of projection. By contrast, from 1200 on, orthogonal projection is used widely on the Carnet of Villard de Honnecourt and a fair number of Gothic architectural drawings. With the onset of the Renaissance in France and Spain, the construction of stone members poses complex geometrical problems, which were tackled by such authors as De L'Orme, Vandelvira or Derand. These texts use orthogonal projections as a central method, complemented by rotations, changes of projection plane and developments. By 1700, these practices were sophisticated and abstract enough to be grouped in a branch of knowledge known as stereotomy, that is, division of solids, encompassing projections, developments, angular measures and their application to stonecutting or tomotechnie. During the French Revolution, Monge, former Professor of the Theory of Stonecutting at the Engineering School of Mézières, built his Descriptive Geometry on the foundation of double orthogonal projection. A few years later, during the Napoleonic Wars, Poncelet, a pupil of Monge at the École Polytechnique, gave birth in the prison of Saratov to Projective Geometry, an abstract branch of mathematics that takes its cue from the properties of the figures that are left unchanged by projections.
Thus, a common thread ties together mediaeval masons, Renaissance architects, enlightened engineers and 19th mathematicians and leads to the formation of an essential part of present-day science. However, this evolution is punctuated with strong mutations. First, the media of knowledge transmission transform themselves from the mediaeval personal notebook to the Renaissance treatise and the scientific monograph. Second, the social groups that control these forms of knowledge shift along the centuries from stonemasons to architects, to clerics such as Derand, Guarini or Tosca, to military engineers and finally to professional mathematicians. Third, the very nature of this branch of knowledge is affected by these formal and social shifts: starting as a purely empirical craft, it had taken the striking form of an experimental geometry at the early 17th century, but at this moment a significant break took place. On the occasion of a memorable duel with Curabelle, Desargues pointed out that the rightness of an arch should not be judged by masons, but rather by geometricians; that is, that abstract geometry lies on a superior plane than empirical validation by means of practical stonecutting. This gave the final blow to empirical geometry, although this line of thought extends as far as the 19th century, in the works of La Gournerie.
In connection with these issues, the session will be open to papers on the formal, social and epistemological shifts in stonecutting and stereotomy, in orthogonal projections and architectural drawing, and in descriptive and projective geometry, from the 13th to the 19th centuries. Examples of suitable topics include, but are not limited to: traits and shortcomings of orthogonal projections in Gothic architectural drawings; transformations of orthogonal projection between Gothic and Renaissance; exchanges between masons, architects, engineers and cartographers at the Early Modern period; French treatises versus Spanish manuscripts; empiricism and rationalism in Early Modern stonecutting; the Desargues-Curabelle duel and other similar clashes; the transition from stonecutting to stereotomy at the Enlightenment; the transition from stereotomy, artillery and other sciences to Descriptive Geometry; and the birth of Projective Geometry.

Deadline for submissions of abstracts: 1 August 2009
Please send paper proposals and brief CVs to session moderator:
José Calvo-López
Escuela de Arquitectura e Ingeniería de Edificación
Universidad Politécnica de Cartagena
Ps. Alfonso XIII, 52
30203 Cartagena SPAIN
jose.calvo@upct.es



SESSION:
ARCHITECTURE, SYSTEMS RESEARCH AND COMPUTATIONAL SCIENCES
This session is dedicated to exploring the exchanges between architecture and the fields of systems research and computational sciences, highlighting the relationships between architecture and mathematics.
Systems research goes back to the war period, and it is concerned with 'organization' from an approach of complexity. The history of the field recalls an expansion of attention up to the level of the planet with the Club of Rome's systemic approach to the global problem (e.g. De Rosnay, 1978) but this dealing with issues of complexity was also paralleled by the acknowledgement of 'uncertainty'.
Systems research embraced a wide field of application; and, as Cybernetics, it became influential throughout the post-war period. There was, undoubtedly, a later 'backlash' against the latter; however, as Scott has mentioned, its concepts permeated such areas as AI, Systems and Emergence Sciences. (Scott, ca.1996) Moreover, a 'second-order cybernetics' arose around the 1970s, acknowledging the presence of the observer in Systems, and leading to theoretical developments such as 'Autopoiesis’, ‘Conversation Theory’ etc. At the time, computation became ubiquitous, and its later connection with telecommunications led to cyberspace and to the Information Society in which we now live.
At an early date, systems research, cybernetics and computational sciences, went on to interfere in the fields of Art and Architecture. Early occurrences included the work of Schoffer, Pask, Jones, Alexander and Negroponte work, and they were fuelled by a desire to overcome the rigid architecture and planning of modernism, by representing the dynamics of time. Progressively, digital space and life also constituted an architectural challenge, at the levels of the city's building and design practice. The earliest approaches date back to the early 1990s, and advanced explorations were made by architects such as Novak (on ‘Transvergence’) and Frazer (on ‘Evolutionary Architecture’).
To a certain extent, the current digital architectural culture is rooted in cybernetics, and the systems approach enables a systemic focus of contemporary cities, and the ecological global problem. Today, Architecture's desire for a more evolving environment is leading to interest in the new sciences of Emergence and Complexity, which Jencks even associates to a ‘New Paradigm in Architecture’.
The session will consists of small presentations focusing important experiences related to architecture and mathematics. The main areas of interest are: systems research, second-order cybernetics, computational sciences, architectural morphogenesis and sustainability. (Presentation focused on topics such as complex systems, self-organization, emergence, topology, CAD-CAM, virtual environments and cyberspace, as well as on architects, designs and buildings which illustrate the relationship between architecture and mathematics will be welcome.) They are the roots sources of a future, effective built environment that could evolve.

Note: This text include some excerpts of Gonçalo Furtado’s article “Gordon Pask: Exchanges Between Cybernetics and Architecture and the Envisioning of the I.E. (‘Informational Environment’), in: Kybernetes, V.38, N.7-8, 2009. I suggest a reading of it, as well as J.De Rosnay’s 'History of Cybernetics and Systems Science”, 1978 (and modified in 2000), in: F.Heylighen, C.Joslyn and V.Turchin (eds), Principia Cybernetica Web, Brussels (available at: http://pespmc1.vub.ac.be/cybshist.html) and B.Scott’s “Obituary for Professor Gordon Pask”, in: The Independent, London, 1996.

Deadline for submissions of abstracts: 1 August 2009
Please send paper proposals and brief CVs to session moderator:
Gonçalo M. Furtado C. Lopes
Faculdade de Arquitectura da Universidade do Porto
Rua do Gólgota 215
4100 Porto, Portugal
gmfcl@hotmail.com



SESSION:
GUERRILLA TACTICS OF DIGITAL DESIGN
As Architects, our assumptions about the technology we use are leading us astray. We are being pulled unequivocally towards notions of efficiency (time and cost) and towards the idea that we are buying ourselves back into the business of design development. In reality we are not repossessing anything, but are simply passing the cost and time savings on to our consultants, contractors and clients. Building Information Modeling (BIM), digital fabrication and other technologies are rendering us, as architects, further obsolete and creating a world in which, we are even more likely to create another big box store or a second lot of condos, with only the requisite shift in material or articulation.
This session topic calls for papers describing alternative uses of new design technologies. How do our tools define our methods of production? To what extent can we claim that the objects of our design are our own or to what extent are they defined by the tools we use? How has technology fundamentally changed design expectations? As BIM, fabrication, and parametric modeling have become mainstream tools, we are forced to question the initial standards we have established for their evaluation. One way for questioning our expectations is to look alternative methods for their use. So much of the technology we use is defined and determined by manufacturers and the mega firms to whom they respond. Once technology has time to disseminate throughout the profession, others have the knowledge to question its use.
The papers for this session could come from a myriad of research areas. One example might be the use of a parametric software program like Frank Gehry's software built upon CATIA, Digital Project. The underlying methods for developing parametric models within CATIA are built upon geometric organizations and relationships. These geometries can be used to model complex systems and skins as Gehry does or, just as simply, be used to design systems of simpler off-the-shelf components. Proposals could be proposed as alternative information models, which use mathematics and geometry to create algorithmic relationships between a material, its organizational patterns, and the objects built in characteristics. Rather than rely on manufacturers and software companies to define how we use parametric models, we can define for ourselves how these relationships ought to perform.
It has become evident that the use of new technology ought to be far more anarchistic and inventive. Though fabrication and parametric design has become synonymous with excess and flippant design, new software also comes with the ability to build in both unconventional and affordable ways. We must choose how to employ these tools or risk that our profession will become further removed from the new lexicon of our environment. This session could demonstrate the failings of the couture use of this technology and propose alternative methods for its use, using algorithmic models.

Deadline for submissions of abstracts: 1 August 2009
Please send paper proposals and brief CVs to session moderator:
Chris Beorkrem
Digital Design Center
School of Architecture
University of North Carolina- Charlotte
9201 University City Blvd.
Charlotte, NC 28223
cbeorkrem@uncc.edu



SESSION:
MISCELLANEOUS

The Nexus conferences for architecture and mathematics have always taken the broadest possible view of this interdisciplinary nexus. Pertinent to our on-going discussions are studies of geometry, proportions, symbolism, studies of design techniques of individual architects, and studies of architecture and mathematics in individual monuments, historical periods, cultures, or geographical regions. Especially encouraged are studies concerning non-Western architecture and mathematics, and studies on teaching mathematics to architects.

Deadline for submissions of abstracts: 1 August 2009
Please send paper proposals and brief CVs to session moderator:
Kim Williams
Kim Williams Books
Via Cavour, 8
10123 Turin (Torino) Italy
kwb (at) kimwilliamsbooks.com



ROUND TABLE:
GENERATIVE ARCHITECTURE CODENESS. CONTRAPPUNTO GENERATOR OF RESONANCE SPECIES

The Generative advanced approach to Architectural Design defines the possibility to create an architectural identity by designing a set of mathematical transformation codes. We can identify a possible set of transformation rules, like an Artificial DNA, that we can use for generating complex architectural and urban systems able to fit architectural well-defined aims, by following peculiar identities. Referring to the Renaissance, where art, poetry, mathematics, music and architecture were deeply integrated, the round table will try to connect different points of view in the common denominator of the time of contrappunto for defining possible sites of investigations, able to perform species, in various phases from simple to complex, until a possible codeness. Contrappunto is a historical tool used in music, capable of connecting in resonance the sounds in contrast, using harmonic structures. The discussion is focused in how to perform species of resonance, generated by different disciplines and usable in architecture design of our time. Mainly the math codeness, performed as a musical score, can effort the historical identity of architectures, cities and also visionary spaces of Art. This is deeply connected to Nexus community.

Deadline for submissions of abstracts: 1 August 2009
Please send proposals and brief CVs to round table moderator:
Celestino Soddu
Director of Generative Design Lab
Chair of Generative Art annual conferences
Department of Architecture and Planning
Politecnico di Milano University
Piazza Leonardo da Vinci
20133 Milano, Italy
celestino.soddu@polimi.it


ROUND TABLE: THE GEOMETRIC CONSTRUCTION OF MORPHOLOGY
The large diffusion of free-form software in recent years gives designers the possibility to create complex morphology in a very interactive way, although frequently without having an idea about the geometrical origins of the form they are generating.
In the past it was very difficult to work in a similar way, due to the strict procedure that allowed to transform every sketch and every drawing into a building. As new technology has resolved a lot of problems about the fabrication, there are many questions about the correctness to use a form without the consciousness of it.
The aim of this session is to discuss the lack of theoretical information by the users of new technology and the great possibility to work with complex forms for young architects, given by sophisticated software of elaboration.
A useful comparison between old and new methods to generate forms could show the differences in the work of the architect. Some examples could explain this transformation better. In fact, if we analyze some well-known designs, for example by Le Corbusier, we have the opportunity to study the genesis of the form of these architectures, understanding the strict relationships between the morphology and the architectural space.
Thinking, for example, about the 'squared spiral' of the Museum of Unlimited Growth - a new conception of the Archimede's curve, derived conceptually from the logarithmical one - or the Golden Section, declined with some variations into a lot of projects (and, above all, in the study for the Modulor), we can find many theoretical studies on this subject.
Some other projects are even more complex and more interesting: such as the hyperboloid of the Parliament building in Chandigarh, which idea was derived from some factory towers seen by the architect from the airplane, flying near the Indian town, or the series of quadric surfaces - hyperbolic paraboloids, sectioned at a certain level - that generated the whole structure of the Philips Pavilion, realized in 1958 for the Brussels Expo, and designed with the help of his assistant, engineer Iannis Xenakis.
The round table wants to focus on researches that study the use of geometrical and mathematical rules in analogical architectures, to understand the procedures that allow not only the generation of form but also the construction of the building.
Digital technology could offer a very useful way to explore and communicate the method in order to add some theoretical information to simple manual operations.

Deadline for submissions of abstracts: 1 August 2009
Please send paper proposals and brief CVs to round table moderator:
Alberto Sdegno
University of Trieste
Department of Architectural and Urban Design
Via Valerio 12/2, 34100 Trieste, Italy
sdegno@units.it



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