Lang s Universal Molecule Algorithm

摘要

We present a Java implementation of Lang's Universal Molecule algorithm, alongside with a visualization of its interconnected structures: the input metric tree and compatible convex polygon, whose 2D crease pattern and 3D uni-axial base are computed by the algorithm. The Java applet, the video, as well as further references a nd accompanying materials are available on our web site linkage. cs.umass. edu/origamiLang. We also include a re-cent example, found with the help of this implementation. of a Universal Molecule crease pattern which, as a flat-faced origami, is completely rigid; in particular, its corresponding uniaxial base cannot be reached through continuous folding without bending of the paper.