In quantum mechanics, the geometry of quantum states has emerged as a powerful framework for understanding phenomena ranging ...

Clean and complete geometry is important for successful 3D printing. A watertight mesh helps reduce common printing problems ...

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 ...

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 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 ...

A framework for analyzing single-cell genomics data, in which geometrical properties are harnessed to obtain insights on cellular diversity, including precise clustering, clear visualizations, and ...