Symplectic geometry is a relatively new field with implications for much of modern mathematics. Here’s what it’s all about. In the early 1800s, William Rowan Hamilton discovered a new kind of ...
Geometric objects take on different properties depending on the space in which you visualize them. Using techniques from an upstart field called tropical geometry — which analyzes complicated shapes ...
Changing light's polarization can reverse the structure of a patterned light field, opening a new way to control geometry and information in optics. (Nanowerk Spotlight) Light can be bent, focused, or ...
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