Project 2 of Parametric Design

 Project 2

This project is aimed to maximize the whole structure based on some criteria i set. The criteria includes the less than the maximum slope, not self-intersected and the dimension is within certain range in x, y, z direction.

  

Maximize the Slope first while adjusting the Mobius Strip index. I set the maximum slope as 1:6.  The goals is achieved by Galapagos function. The steepest slope of the surface is generated using python code.

One criteria is to limit the width of the structure. The maximum distance between points  in XY plane should also be the maximum width of the structure.

In the original model of the Denmark Pavilion, the ratio height to width is 0.45.

The next step is to maximize the volume while keeping the whole structure within certain area and height. This method models that how to fit the structure within a given site and fulfill the height control requirement.

In order to make sure the structure is completely within  a certain 3-D “bounding box”, I respectively compare the dimension of their bounding box in x, y, z direction. Any possibilities that exceeds the range would be excluded using python node.

All are ready to run the Galopago node. The geno variable includes the scale and the width of the structure, while excluding the width which exceed the largest distance in XY plane, and the dimension exceeds the range of the certain bounding box. The fitness would be the largest volume.

Parametric modeling project 1

Architects
BIG · Office Profile
Location
Expo 2010, Luwan, China
Architect
BIG
Creative Director
Bjarke Ingels
Team
Tobias Hjortdahl, Jan Magasanik, Claus Tversted, Henrick Poulsen, Niels Lund Petersen, Kamil Szoltysek, Sonja Reisinger, Anders Ulsted, Jan Borgstrom, Pauline Lavie, Teis Draiby, Daniel Sundlin, Line Gericke, Armen Menendian, Karsten Hammer Hansen, Martin W. Mortensen, Kenneth Sorensen, Jesper Larsen, Anders Tversted
Collaborators
2+1, Arup AGU, Arup Shanghai, Tongji Design Institute, Ai Wei Wei, Jeppe Hein, Martin De Thurah, Peter Funch

                       from BIG http://www.big.dk/#projects-xpo

                                                                                                                                                                                          From wikipedia

The project's idea is to create continuous exhibition space. The idea could be achieved by using the concept of  mobius strip.




                                     http://a1.images.divisare.com/image/upload/c_fit,w_1440/f_auto,q_80/v1/project_images/998165/Picture-2.jpg

With the parametric equation and set of index, a set of points representing the mobius strip is generated by grasshopper.

The next step is to interpolate all the points. With 101 curves created, a full mobius strip is separated into two curves with linked index, for example, 0 - 100, 1 - 99, etc. In order to manually select the appropriate pair of mobius strip for the next step, two in linked list item node are used to select a pair.

After selecting an appropriate mobius strip -- a curve, the next step is to create a rectangle along it. After that, loft node is used to create basic structure of the architecture.

The next step is to create a flat skin which has different size of circle. In order to create a set of circle whose size could be control, a random curve is created in Rhino and referenced to grasshopper. The idea is that the closer to the curve the radius of circle would be smaller.

The step using Box Morph to interpolate the flat skin to the outer face of the structure.

This step is to create a overhead cover using kangaroo physic engine. All the point in the middle of the surface will be implemented a Uforce. All the string will be set as springs. All the points on the edge will be set as the anchor points.

This part is about the analysis of the geometry.  After running the analysis of the angle and draft angle of the surface, we found that this geometry has smooth and consistent angle which provides a stable structure and harmonious feelings.

This part is about the analysis and visualization of the physic model. We found that the force of the string connected to the middle points are intense. While string on the edge is 0. However, the force of some of the string connecting all the middle points is less intense than the others.