It is no secret that mathematics follows certain laws of nature and that these patterns can be seen over and over again in ...

It’s easy to forget that geometry is, at its core, a branch of mathematics. Many Indigenous artists were—and are—sophisticated mathematicians, able to visualize complex patterns and ratios ...

The geometric design, called “girih”, was widely used to decorate Islamic buildings but the advanced mathematical concept within the patterns was not recognised, until now. Physicist Peter Lu ...

The ornament explores a branch of mathematics known as tiling, which seeks to fill a space completely with regular geometric patterns. Math shows that a flat surface can be regularly covered by ...

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 ...

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 ...

Turning to the geometry of the next simplest pattern in the family ... Compared with string theory, “this uses baby mathematics,” he says. Other physicists are impressed.

Geometric shapes such as pentagons and hexagons spontaneously form in a wide range of geologic settings. Dried mud, ice and rock often crack into polygons, but these patterns tend to vary ...

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 ...