Have you ever found yourself captivated by the intricate repeating designs on fabric, wrapping paper, and more? There’s something truly magical about repeating patterns that can transform ordinary ...

Remember the graph paper you used at school, the kind that’s covered with tiny squares? It’s the perfect illustration of what mathematicians call a “periodic tiling of space”, with shapes covering an ...

(Nanowerk News) Rice University engineers are using 3-D printers to turn structures that have until now existed primarily in theory into strong, light and durable materials with complex, repeating ...

This is the second in a two-part series. Part one can be found here. The debate over what early math should look like and what should be included in the Common Core State Standards for math is one of ...

Infinitely many copies of a 13-sided shape can be arranged with no overlaps or gaps in a pattern that never repeats. David Smith, Joseph Samuel Myers, Craig S. Kaplan and Chaim Goodman-Strauss (CC BY ...

Fractals commonly show up in nature, from spiral-shaped seashells to heads of cauliflower. Now physicists have found these complex, self-repeating patterns in a very unnatural spot: laser light. Peer ...

Frank A. Farris does not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and has disclosed no relevant affiliations beyond ...

A new theory enables the simulation of complex pattern formation in biological systems across different spatial and temporal scales. For many processes important for life such as cell division, cell ...