Google’s AlphaGeometry2 AI reaches the level of gold-medal students in the International Mathematical Olympiad ...

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 ...

Discover the extraordinary Einstein ring discovered by the Euclid space telescope. A perfect ring of light encircling galaxy ...

Things which are equal to the same thing are also equal to one another. If equals be added to equals, the wholes are equal. If equals be subtracted from equals, the remainders are equal.

The company’s AlphaGeometry2 reaches the level of gold-medal students in the International Mathematical Olympiad.

THE philosopher Kant declared that Euclidean geometry was inherent in the human mind and expressed the truth about space. We now recognize that non-Euclidean geometry is equally valid as an ...