![]() ![]() This issue of AD asks: Where do we stand today? What is up with mathematics in design? Who is doing the most interesting work? The impact of mathematics on contemporary creativity is effectively explored on its own terms.Ĭontributors include: Mark Burry, Bernard Cache, Philippe Morel, Antoine Picon, Dennis Shelden, Fabien Scheurer and Michael Weinstock. Hence the time has come for designers, computational designers and engineers to tease the mathematics out of their respective works, not to merely show how it is done – a hard and futile challenge for the audience – but to reflect on the roots of the process and the way it shapes practices and intellectual agendas, while helping define new directions. What is less clear, and has largely escaped scrutiny so far, is the role mathematics itself has played in this revolution. The theorems are logical consequences of axioms that take a long time to prove. Euclid of Alexandria put geometry in a logical framework and used axioms to define complicated objects such as triangles. From the technical aspects of scripting code to the biomorphic paradigms of form and its associations with genetics, the impact of computation on the discipline has been widely documented. One fundamental reason of the contemporary situation of drawing would be its limitation as a design media in producing and notating non-Euclidean geometry. Euclidean geometry forms geometric intuition that gives an accurate description of the space of land. The ubiquitous dissemination of design software and numerical fabrication machinery have re-actualised the traditional role of geometry in architecture and opened it up to the wondrous possibilities afforded by topology, non-Euclidean geometry, parametric surface design and other areas of mathematics. When that happens, you are talking about a system where parallel lines don’t remain the same. Hyperbolic geometry can be introduced as an abstract surface wherein lines are. Hyperbolic geometry is another example of a non-Euclidean geometry, as it violates the parallel axiom and cannot be embedded in ordinary space. Over the last 15 years, contemporary architecture has been profoundly altered by the advent of computation and information technology. Non-Euclidean Architecture is how you build places using non-Euclidean geometry (Wikipedia's got a great article about it.) Basically, the fun begins when you begin looking at a system where Euclid’s fifth postulate isn’t true. Spherical geometry is an example of a non-Euclidean geometry, as the lines do not satisfy Euclid’s parallel postulate. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |