Hexasphere: Breakthrough in Polyhedral Geometry

Most believe that the era of great discoveries in the field of geometry has already passed. But this is a fallacy. Recently, scientists from the Institute of Science and Technology of Austria for the first time managed to build a regular partition of the sphere into hexagons. The research used the latest achievements of algebraic geometry and topology. According to the authors, it took months of computer calculations to solve the problem.

The news of the perfect breakthrough appeared on the personal page of the team leader. There you can also find an interactive partitioning model, called the hexasphere . Hexaspheric possesses a complete group of symmetries, due to which it is of paramount importance in coding theory, architectural mathematics and potentially in chemistry, where carbon molecules in the form of hexaspheres may eventually displace fullerenes.
The vertices of the hexaspheres are located at an equal distance from their neighbors. According to the researchers, this can help solve one of the main problems of controlled thermonuclear fusion - a uniform supply of energy.

By the way, two out of three researchers come from Russia. And one, apparently, is registered on geektimes. akopyan , congratulations on impressive success!