While a phone or arrow turns all the way around in 360 degrees, the quaternion describing this 360-degree rotation only turns 180 degrees up in four-dimensional space.

In contrast, quasiregular mappings can be found from a Euclidean space to several different spaces. Such manifolds are called ‘quasiregularly elliptic’.

A manifold fitting approach for high-dimensional data reduction beyond Euclidean space by National University of Singapore Editors' notes ...

A marketing ruse intended to sell a change in NAND design with little to do with the combination of Euclidean space and time coming together inside a four-dimensional manifold, which Earth's best ...

Jan 29, 2024 A manifold fitting approach for high-dimensional data reduction beyond Euclidean space (Nanowerk News) National University of Singapore (NUS) statisticians have introduced a new technique ...