Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly reflecting shapes to tile a surface, researchers uncovered a method that links ...

For a game whose rules can be taught to a small child, chess is bewilderingly complicated—there are more possible games of chess than there are atoms in the observable universe, and despite the ...

The international system has been ruptured. Russia’s invasion of Ukraine, gridlock at the un, growing American mercantilism and paralysis at the World Trade Organisation (WTO) have all contributed to ...

In a recent study, mathematicians from Freie Universität Berlin have demonstrated that planar tiling, or tessellation, is much more than a way to create a pretty pattern. Consisting of a surface ...

Welcome to our comprehensive Geometry Dash tutorial! In this video, we guide you through the exciting world of Geometry Dash, providing tips and tricks to master the game. Whether you're a beginner or ...

Zheng Xiao received his PhD in 2022 at Michigan State University, under the supervision of Aaron D. Levin. His research interests include number theory, arithmetic geometry and complex hyperbolic ...

Two-dimensional hyperbolic topological pumping can emulate eight-dimensional quantum Hall physics, transcending conventional dimensional constraints. Furthermore, hyperbolic pumping trajectories are ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of recent work by the ...

Can you imagine the imprint a four-dimensional hexagon might leave as it passes through your three-dimensional kitchen table? Probably not, but some people can. One such person was mathematician ...