A mathematician has proved that the optimal arrangement of 12 identical spheres around and touching a 13th is a highly symmetric pattern based on the 12-faced geometric shape known as the ...

But dimensions eight and 24 each contain a special, highly symmetric point configuration that, we now know, ... If you compare the sphere’s volume to that of the smallest cube that fits around it, the ...

Their approach involves breaking the inherent symmetry of the sphere by electron beam excitation, which allows for precisely controlling the phase and polarization of the emitted light.

Featuring "remarkable circular symmetry", the sphere is defying space theories and going against the logic of what scientists thought they knew about the universe. Experts have named the sphere ...

Scientists have found a new, almost perfectly spherical object in space, prompting new questions about supernovas. The object, nicknamed Teleios “due to its symmetry” (it’s taken from the ...