The gh definition presented here has been used for the design of a shell structure build from sheet material at Les Grandes Ateliers, Lyon, by architecture students of Ecole nationale supérieure d'architecture de montpellier and the TU Delft.
The pq design tool ensured the planarity of the quadrilateral faces, that allowed the fabrication of the shell from flat sheet material.
Benoît Mandelbrot, father of fractal geometry and chaos theory, has died last thursday. The idea of self-similarity in nature and mathematics is described in his great book The Fractal Geometry of Nature.
The picture above shows the Mandelbrot set, a set of points in the complex plane, the border of the set is a fractal.
Stuttgart 21, the project for a new train station in Stuttgart, Germany, started with a winning competition entry by Christoph Ingenhoven and Partner, Frei Otto, Büro Happold, Leonhardt and Andrae, in the year 2000. The picture shows Frei Otto's model used for form-finding of the roof. The main functional idea behind the project is the transformation of the existing dead-end station into an underground through station.
A strong opposition against the expensive billion-euro project has been formed by the citzens of Stuttgart.
On last Thursday, September 30, the police used water canons and tear gas against peaceful protesters, who tried to protect the trees in the park against cut down. BBC and The Guardian reported about this incident. Since chancellor Angela Merkel strongly supports the Stuttgart 21 project, it seems to become a hot election issue, even in national scale.
This great piece of work is based on Kangaroo, a physics engine for grasshopper.The original video and a lot of more great stuff can be found on Danie Pikerl's vimeo account. The concept of circular and conical meshes is described in a paper written by H. Pottmann and J. Wallner.
The principles of the tool are: - all nodes are located on a ray through the point in the direction of the normal - the distance from input surface to pq mesh is adjustable - two of the edges are controlled by the graph-mapper
A parametric tool for the design of planar quadliteral meshes based on uv-grid and normal directions of a design-driving NURBS surface.
The glazed freeform grid shell of the hippo house in the berlin zoo, has been designed by Schlaich, Bergerman + Partner. It consists of planar quadliterals, the geometry is based on a translational surface.
In this paper, a comprehensive discussion about geometric aspects of surface tesselation, by H.Pottmann et. al., can be found. A direct parametric approach, developed by Gehry Partners and Schlaich, Bergemann & Partners is described in this paper.
Download the definition for the planar quad mesh tool here.
An underwater dome, shaped by the buoyancy force of an oxygen bubble. This beautiful piece of subaqueous architecture has been build by Jordan Needham and his familiy at the bottom of a Nevada mountain lake. Found on the boingboing blog.
The pictures are screenshots from the movie below.
Based on TNA, I implemented together with Philippe Block a grasshopper definition for the generation of structural freeform vaults. The image shows a structural surface with an non-uniform force distribution. This work is part of a resarch project done at the ETH Zurich.
This model of a compression-only vault has been build using rapid prototyping. It stands just by gravity and friction.
Implementation-wise the matrix computation routines from rhino SDK have been used inside grasshopper vb.net nodes. Download the grasshopper definition here. A tutorial video shows the use of the definition.
Thrust Network Analysis, a new method for generating compression-only vaulted surfaces and networks was developed by Philippe Block as part of his PhD.Using projective geometry, duality theory and linear optimization, it provides a graphical and intuitive method, adopting the same advantages of techniques such as graphic statics, but offering a viable extension to fully three-dimensional problems.
Form and force diagram, and the resulting compression only network.
Parametric explorations of the indeterminacy of compression-only networks by the modification of the force diagram.
Rapid manufacturing is a process by which computer-controlled lasers solidify liquid or powdered resin to create a three-dimensional rendering of a digital design. By contrast, the Honeycomb Vase was produced through what the artist has called "slow manufacturing": Libertíny constructed a vase-shaped beehive scaffold (to be removed at the end of the process) and then let nature take its course. Forty thousand bees build the vase in one week.
In the 19th century, graphic statics, a geometric method for the analysis of the force distribution in structures, has been developed. This scientific, precise method has an intuitive and descriptive character based on reciprocal force diagrams. The recent emergence of parametric design techniques in architecture enables the construction of associative geometry in CAD systems. In this lecture, a novel approach will be presented, combining parametric tools with historic techniques of graphic statics. This highly interactive three-dimensional procedure provides direct control of form and forces at the same time. The aim of this approach is the integration of the flow of forces into the computer aided design process.