geometry Mathematicians Discover New Shapes to Solve Decades-Old Geometry Problem Mathematicians have long wondered how “shapes of constant width” behave in higher dimensions. A surprisingly simple ...

This breakthrough solves a decades-old geometry problem by showing how to build objects in dimensions that we cannot envision.

Expanding beyond basic triangles The theorem's applications extend far beyond simple triangle problems. In coordinate geometry, it enables distance calculations between any two points.

Mathematicians have finally solved a geometry problem that has puzzled the field for decades. The question was proposed by Japanese mathematician Sōichi Kakeya in 1917. It sounds simple: How can ...