We covered breakthroughs in graph theory, combinatorics, number theory and geometry — areas where patterns arise in unexpected ways, sometimes because of connections between seemingly distinct ...

Like a child peering through a kaleidoscope, a biologist gazing through a microscope may be amazed by the beautiful geometric ... mathematical model that successfully reproduces cellular patterns ...

Escher explored geometry through tessellations ... story that he did this all on his own.” The mathematical rules for these repeating patterns say that a pattern can be shifted by moving ...

Alexander Goncharov, the Philip Schuyler Beebe Professor of Mathematics at Yale, calls the geometric Langlands solution a “landmark ... mathematicians started to discover weird patterns in prime ...

Landmark results in geometry and number theory marked an exciting year for mathematics, at a time when advances in ... In 2022, mathematicians used machine learning to uncover strange patterns in ...