Euclidean geometry is the branch of mathematics describing shapes and the spatial relationships between objects in two-dimensional (2D) and three-dimensional (3D) settings. The rules of Euclidean ...

This article was originally published with the title “ Non-Euclidean Geometry before Euclid ” in Scientific American Magazine Vol. 221 No. 5 (November 1969), p. 87 doi:10.1038 ...

asking what four-dimensional shapes can be obtained by deforming four-dimensional Euclidean geometry. The article by Heikkilä and Pekka Pankka has been published in the Annals of Mathematics journal.

This profound development is explained by analogy with non-Euclidean geometry In 1963 it was proved that a celebrated mathematical hypothesis put forward by Georg Cantor could not be proved.

Formed on the campus of Washington University, Non-Euclidean Geometry is a band whose members are still youngins, and as the name suggests, its sound is tough to pin down. The band layers singer ...