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Dirichlet Modular Decomposition / Arthur Toth

Courtesy of Arthur Toth
Courtesy of Arthur Toth

In Arthur Toth‘s, A Room for London competition entry, the main impetus for the use of computational geometry is the ease it introduces into computer-aided design and most importantly into manufacturing. This computational geometric algorithm leads to a balanced subdivision of the outer shell of the room and also to a matching coherent organization of the space inside. Planimetric issues also subscribe to this inner logic, as well as structural and detailing processes. More images and architect’s description after the break.

The resulting modules consequently fit perfectly one on to another, with no geometric errors or connection problems of any kind. They facilitate easy handling , rapid assembling and reuse. Also the manufacturing process benefits from 3d model accuracy and fast prototyping capabilities. Furniture can comply to the interior spatial subdivision and will be integrated from the beginning in the construction of each module, therefore assuring best possible fit and maximizing production efficiency.

Courtesy of Arthur Toth
Courtesy of Arthur Toth

Theory: In mathematics, a dirichlet tessellation is a special kind of decomposition of a metric space determined by distances to a specified discrete set of objects in the space, by a discrete set of points. It is named after Lejeune Dirichlet, who used 2-dimensional and 3-dimensional diagrams in his study of quadratic forms in 1850. Although a normal dirichlet cell is defined as the set of points closest to a single point in space, an n-th order dirichlet cell is defined as the set of points having a particular set of n points in space as its n nearest neighbors. High order dirichlet diagrams also subdivide space.

Courtesy of Arthur Toth
Courtesy of Arthur Toth

Technology: Sliding door cell and terrace access cell are powered by linear motion actuators. Electric actuation components cost less than comparable hydraulic and pneumatic systems. One electric linear actuator is faster and easier to install than the multiple hydraulic and pneumatic components required to achieve the same function.

Courtesy of Arthur Toth
Courtesy of Arthur Toth

Aluminium space frames and geometric structures are focused on environmental concerns and offer numerous advantages for conscious design and application. Space frame structures are helpful in garnering design credibility for green qualifications since structures are lightweight, made of high content recycled material, use less energy to produce, cost less to deliver and install, come with a low maintenance/low environmental impact finish and are flexible in design to the point that they can be easily de-commissioned and moved, stored or installed in another location. Architect: Arthur Toth Location: Queen’s Hall terrace roof, London, UK Engineering: Adrian Toth A Room for London Competition entry: Dirichlet Modular Decomposition Project area: 40 sqm Project year: 2010 Budget: <150000 ₤

Courtesy of Arthur Toth
Courtesy of Arthur Toth
Cite:Alison Furuto. "Dirichlet Modular Decomposition / Arthur Toth" 20 Dec 2010. ArchDaily. Accessed . <http://www.archdaily.com/97040/dirichlet-modular-decomposition-arthur-toth/>