Euclidean geometry is the branch of mathematics describing shapes and the spatial relationships between objects in ...

“I keep waiting for that to happen to me and it never has,” the mathematician Jordan Ellenberg confesses in his unreasonably entertaining new book, “Shape,” with its modest subtitle ...

Spherical shapes differ from infinite Euclidean space not just in their global topology but also in their fine-grained geometry. For example, because straight lines in spherical geometry are great ...

This book provides an inquiry-based introduction to advanced Euclidean geometry. It utilizes dynamic geometry software, specifically GeoGebra, to explore the statements and proofs of many of the most ...

Back then, you used the Pythagorean theorem, the most important result in Euclidean geometry. It says that in a right triangle, the length c of the hypotenuse satisfies a 2 + b 2 = c 2 , where a ...

A husband and wife from Cornell University have come up with a crafty way to illustrate high-level geometry concepts -- by manipulating yarn into models that help explain the curvature of spaces.

In recent years, with the public availability of AI tools, more people have become aware of how closely the inner workings of ...

A musical chord can be represented as a point in a geometrical space called an orbifold. Line segments represent mappings from the notes of one chord to those of another. Composers in a wide range of ...

“Geometry has completely changed how I view the world around me and has led me to reexamine all the geometric facts and theorems I had just assumed to be true in high school,” said Sarah Clarke ’23.