This media is in the public domain (free of copyright restrictions). You can copy, modify, and distribute this work without contacting the Smithsonian. For more information, visit the Smithsonian's ...

This tan paper cut and glued model has thirty-six equal isosceles triangles for sides. Eighteen of these are around the middle, facing in opposite directions as in an antiprism. Nine at each end form ...

Figure 1: HOP sphere representation of vector vortex beams. In contrast to the complexity and challenges of producing OAM beams and vector vortex beams from lasers, the control of polarization or SAM ...

In a pair of papers posted online this month, a Ukrainian mathematician has solved two high-dimensional versions of the centuries-old “sphere packing” problem. In dimensions eight and 24 (the latter ...

We suggest that there should be a minimum electromagnetic radiation frequency in the Hubble sphere and that this seems to be directly linked to the Hawking Temperature and our recent discovery that ...

How to safely reopen offices, schools and other public spaces while keeping people six feet apart comes down to a question mathematicians have been studying for centuries. Sphere packing might seem ...