Computer model unfolds the map muddle.
© Getty Images
Match up folds to fight stubborn paper.
No road journey is complete without a wrestle with the map. Now a US computer scientist has worked out why the map usually wins.
Erik Demaine of the Massachusetts Institute of Technology in Cambridge has come up with an origami algorithm that predicts when a stubborn street plan will be re-foldable. "It’s the meeting of paper folding and computer science," he says.
Crumpling the map into the glove box won’t help. A single 45° fold in the sheet, and the problem foxes even a computer, Demaine found. The models are probably little help to the harassed motorist, he admits.
Paper does not always follow predictions, warns mathematician Martin Kruskal of Rutgers University in New Jersey. Unlike a computer model, real paper has thickness - an A4 sheet is nearly impossible to fold in half more than six times. "Idealization has limitations," he says.
Computational origami is attacking other seemingly intractable paper-folding challenges. The gift-wrapping problem - the smallest square of paper that can cover a regular object - challenges many at Christmas. Comfortingly, it has only been solved for wrapping a simple cube.
Such algorithms can also predict whether a three-dimensional object can be unfolded into a flat sheet. The sheet-metal industry uses the program in reverse to build furniture or cars from a single sheet. Computational origami also creates new designs for the Japanese art.
HELEN PEARSON | © Nature News Service
New players, standardization and digitalization for more rail freight transport
16.07.2018 | Fraunhofer-Institut für System- und Innovationsforschung (ISI)
A helping (Sens)Hand
11.04.2018 | Fraunhofer-Institut für Arbeitswirtschaft und Organisation IAO
Adjusting the thermal conductivity of materials is one of the challenges nanoscience is currently facing. Together with colleagues from the Netherlands and Spain, researchers from the University of Basel have shown that the atomic vibrations that determine heat generation in nanowires can be controlled through the arrangement of atoms alone. The scientists will publish the results shortly in the journal Nano Letters.
In the electronics and computer industry, components are becoming ever smaller and more powerful. However, there are problems with the heat generation. It is...
Scientists have visualised the electronic structure in a microelectronic device for the first time, opening up opportunities for finely-tuned high performance electronic devices.
Physicists from the University of Warwick and the University of Washington have developed a technique to measure the energy and momentum of electrons in...
Scientists at the University Würzburg and University Hospital of Würzburg found that megakaryocytes act as “bouncers” and thus modulate bone marrow niche properties and cell migration dynamics. The study was published in July in the Journal “Haematologica”.
Hematopoiesis is the process of forming blood cells, which occurs predominantly in the bone marrow. The bone marrow produces all types of blood cells: red...
For some phenomena in quantum many-body physics several competing theories exist. But which of them describes a quantum phenomenon best? A team of researchers from the Technical University of Munich (TUM) and Harvard University in the United States has now successfully deployed artificial neural networks for image analysis of quantum systems.
Is that a dog or a cat? Such a classification is a prime example of machine learning: artificial neural networks can be trained to analyze images by looking...
An international research group led by scientists from the University of Bayreuth has produced a previously unknown material: Rhenium nitride pernitride. Thanks to combining properties that were previously considered incompatible, it looks set to become highly attractive for technological applications. Indeed, it is a super-hard metallic conductor that can withstand extremely high pressures like a diamond. A process now developed in Bayreuth opens up the possibility of producing rhenium nitride pernitride and other technologically interesting materials in sufficiently large quantity for their properties characterisation. The new findings are presented in "Nature Communications".
The possibility of finding a compound that was metallically conductive, super-hard, and ultra-incompressible was long considered unlikely in science. It was...
24.06.2019 | Event News
29.04.2019 | Event News
17.04.2019 | Event News
19.07.2019 | Physics and Astronomy
19.07.2019 | Physics and Astronomy
19.07.2019 | Earth Sciences