In quantum mechanics, the geometry of quantum states has emerged as a powerful framework for understanding phenomena ranging from electrical conductivity to superconductivity. One research direction ...

In our mind’s eye, the universe seems to go on forever. But using geometry we can explore a variety of three-dimensional shapes that offer alternatives to “ordinary” infinite space. When you gaze out ...

Nearly seven years since its last major content update, Geometry Dash received a massive update just before the holidays. Now, players are using features newly added to the game's level editor to ...

Can you imagine the imprint a four-dimensional hexagon might leave as it passes through your three-dimensional kitchen table? Probably not, but some people can. One such person was mathematician ...

In the earliest stages of life, mammalian embryos start as a disorganized cluster of cells. As development progresses, these cells become organized into well-defined shapes and structures. This ...

Researchers have discovered a hidden quantum geometry inside materials that subtly steers electrons, echoing how gravity warps light in space. Once thought to exist only on paper, this effect has now ...

Researchers utilized three-dimensional facial imaging to explore whether objective geometric shapes are linked to perceived ...