Robot NICO learning self awareness using mirrors

(Phys.org)—Self awareness is one of the hallmarks of intelligence. We as human beings clearly understand that we are both our bodies and our minds and that others perceive us in ways differently than we perceive ourselves. ...

Mathematics: First-ever image of a flat torus in 3D

Just as a terrestrial globe cannot be flattened without distorting the distances, it seemed impossible to visualize abstract mathematical objects called flat tori in ordinary three-dimensional space. However, a French team ...

A revolution in knot theory

In the 19th century, Lord Kelvin made the inspired guess that elements are knots in the "ether". Hydrogen would be one kind of knot, oxygen a different kind of knot---and so forth throughout the periodic table of elements. ...

Fabricating 3D Photonic Crystals

(PhysOrg.com) -- “In photonic crystals, the ability to control the structure of a material in full three dimensional space, allows you to control the way that light flows through it,” John Rogers tells PhysOrg.com. “This ...

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