Project Summary

February 7, 2016

Lawrence Sass

Massachusetts Institute of Technology

Lujie Chen

Singapore University of Technology and Design 

Ines Ariza, SMarchS

MITMassachusetts Institute of Technology

UROPs
Elisabeth Boles, June Kim, Calvin Zhong

Lab Test Photos

Planar Decomposition is a project that explores ways to automate the transformation of a shape into 2D puzzle-pieces ready for manual or robotic assembly. This is an age-old problem for human production that that asks how should a whole be decompose the whole into parts.  Decomposition is a cornerstone problem in computers science in most cases defined as divide and conquer.

3D models

Figure 1 3D models


Designers find decomposition an exceptionally difficult problem. Solutions must address goals related to form, function and structure. For example, car designers struggle to decompose a newly formed design of a car body into components parts ready for manufacture and assembly. They have to consider appearance, structure, wind loads and functional access to the interior of the car.

Figure 2 Modulated Shapes

In this study we consider how to whole shapes of building structures prefabricated modules. Each section of the building is fabricated in a factory and delivered by flat bed truck. To test the problem we test decomposition on four basic shapes: cube, cone, cylinder and cone. Planes and finger joints make up the core structure of a planar element. Each generated base on the extraction of flat polygons and edge connections between polygons. In other words curved shapes need to first be composed as shapes built of flat surfaces with joining edges.

Resulting Cylinder, Cone, Box and Sphere both as solid and casted models

Figure 3 Resulting Cylinder, Cone, Box and Sphere both as solid and casted models