A geometric shape that does not repeat itself when tiled

A quartet of mathematicians from Yorkshire University, the University of Cambridge, the University of Waterloo and the University of Arkansas has discovered a 2D geometric shape that does not repeat itself when tiled. David ...

Exploring tessellations beyond Escher

(PhysOrg.com) -- By incorporating geometrical concepts into his artwork, M. C. Escher demonstrated the potential beauty that could be achieved by combining mathematics and art. One of Escher's most well-known types of art ...

Atoms with quantum memory

Order tends towards disorder. This is also true for quantum states. Measurements at the Vienna University of Technology show that in quantum mechanics this transition can be quite different from what we experience in our ...

Researchers find best routes to self-assembling 3-D shapes

Material chemists and engineers would love to figure out how to create self-assembling shells, containers or structures that could be used as tiny drug-carrying containers or to build 3-D sensors and electronic devices.

Water droplets direct self-assembly process in thin-film materials

You can think of it as origami - very high-tech origami. Researchers at the University of Illinois have developed a technique for fabricating three-dimensional, single-crystalline silicon structures from thin films by coupling ...

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